Results for 'neutrosophic simplex algorithm'

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  1. Neutrosophic Treatment of the Modified Simplex Algorithm to find the Optimal Solution for Linear Models.Maissam Jdid & Florentin Smarandache - 2023 - International Journal of Neutrosophic Science 23.
    Science is the basis for managing the affairs of life and human activities, and living without knowledge is a form of wandering and a kind of loss. Using scientific methods helps us understand the foundations of choice, decision-making, and adopting the right solutions when solutions abound and options are numerous. Operational research is considered the best that scientific development has provided because its methods depend on the application of scientific methods in solving complex issues and the optimal use of available (...)
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  2. Neutrosophic Treatment of Duality Linear Models and the Binary Simplex Algorithm.Maissam Jdid & Florentin Smarandache - 2023 - Prospects for Applied Mathematics and Data Analysis 2 (1).
    One of the most important theories in linear programming is the dualistic theory and its basic idea is that for every linear model has dual linear model, so that solving the original linear model gives a solution to the dual model. Therefore, when we solving the linear programming model, we actually obtain solutions for two linear models. In this research, we present a study of the models. The neutrosophic dual and the binary simplex algorithm, which works to (...)
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  3.  27
    Neutrosophic Clustering Algorithm Based on Sparse Regular Term Constraint.Dan Zhang, Yingcang Ma, Hu Zhao & Xiaofei Yang - 2021 - Complexity 2021:1-12.
    Clustering algorithm is one of the important research topics in the field of machine learning. Neutrosophic clustering is the generalization of fuzzy clustering and has been applied to many fields. This paper presents a new neutrosophic clustering algorithm with the help of regularization. Firstly, the regularization term is introduced into the FC-PFS algorithm to generate sparsity, which can reduce the complexity of the algorithm on large data sets. Secondly, we propose a method to simplify (...)
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  4. Neutrosophic Genetic Algorithm for solving the Vehicle Routing Problem with uncertain travel times.Rafael Rojas-Gualdron & Florentin Smarandache - 2022 - Neutrosophic Sets and Systems 52.
    The Vehicle Routing Problem (VRP) has been extensively studied by different researchers from all over the world in recent years. Multiple solutions have been proposed for different variations of the problem, such as Capacitive Vehicle Routing Problem (CVRP), Vehicle Routing Problem with Time Windows (VRP-TW), Vehicle Routing Problem with Pickup and Delivery (VRPPD), among others, all of them with deterministic times. In the last years, researchers have been interested in including in their different models the variations that travel times may (...)
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  5. Neutrosophic Association Rule Mining Algorithm for Big Data Analysis.Mohamed Abdel-Basset, Mai Mohamed, Florentin Smarandache & Victor Chang - 2018 - Symmetry 10 (4):1-19.
    Big Data is a large-sized and complex dataset, which cannot be managed using traditional data processing tools. Mining process of big data is the ability to extract valuable information from these large datasets. Association rule mining is a type of data mining process, which is indented to determine interesting associations between items and to establish a set of association rules whose support is greater than a specific threshold. The classical association rules can only be extracted from binary data where an (...)
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  6.  17
    Neutrosophic graph theory and algorithms.Florentin Smarandache (ed.) - 2020 - Hershey, PA: Engineering Science Reference.
    Graph theory is a specific concept that has numerous applications throughout many industries. Despite the advancement of this technique, graph theory can still yield ambiguous and imprecise results. In order to cut down on these indeterminate factors, neutrosophic logic has emerged as an applicable solution that is gaining significant attention in solving many real-life decision-making problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistency, and indeterminacy. However, empirical research on this specific graph set is lacking. Neutrosophic Graph Theory and (...)
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  7. Neutrosophic speech recognition Algorithm for speech under stress by Machine learning.Florentin Smarandache, D. Nagarajan & Said Broumi - 2023 - Neutrosophic Sets and Systems 53.
    It is well known that the unpredictable speech production brought on by stress from the task at hand has a significant negative impact on the performance of speech processing algorithms. Speech therapy benefits from being able to detect stress in speech. Speech processing performance suffers noticeably when perceptually produced stress causes variations in speech production. Using the acoustic speech signal to objectively characterize speaker stress is one method for assessing production variances brought on by stress. Real-world complexity and ambiguity make (...)
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  8. Neutrosophic linear models and algorithms to find their optimal solution.Florentin Smarandache & Maissam Ahmad Jdid - 2023 - Infinite Study.
    In this book, we present a study of linear models and algorithms to find the optimal solution for them using the concepts of neuroscientific science. We know that the linear programming method is one of the important methods of operations research, the science that was the product of the great scientific development that our contemporary world is witnessing. The name operations research is given to the group of scientific methods used. In analyzing problems and searching for optimal solutions, it is (...)
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  9. A Neutrosophic Approach to Study Agnotology: A Case Study on Climate Change Beliefs.Maikel Leyva & Florentin Smarandache - 2024 - Hypersoft Set Methods in Engineering 2 (1).
    Misinformation and biased information significantly impact public perception and political decisions, especially on critical issues such as climate change and environmental conservation. This study aims to understand how indeterminacy and contradiction influence public perception and policy formulation by applying neutrosophic theory to model the complexity and multi-dimensionality of ignorance. Using neutrosophic Likert scales, we capture a nuanced spectrum of opinions on the scientific certainty of human impact on climate change. The results are analyzed through a k-means clustering (...) to identify patterns and segment participants into groups based on their levels of truth, indeterminacy, and falsehood. This approach reveals deeper insights into public perceptions and aids in evaluating their implications for effective communication and policy-making. (shrink)
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  10.  32
    Single-Valued Neutrosophic Minimum Spanning Tree and Its Clustering Method.Jun Ye - 2014 - Journal of Intelligent Systems 23 (3):311-324.
    Clustering plays an important role in data mining, pattern recognition, and machine learning. Then, single-valued neutrosophic sets are a useful means to describe and handle indeterminate and inconsistent information, which fuzzy sets and intuitionistic fuzzy sets cannot describe and deal with. To cluster the data represented by single-value neutrosophic information, the article proposes a single-valued neutrosophic minimum spanning tree clustering algorithm. Firstly, we defined a generalized distance measure between SVNSs. Then, we present an SVNMST clustering (...) for clustering single-value neutrosophic data based on the generalized distance measure of SVNSs. Finally, two illustrative examples are given to demonstrate the application and effectiveness of the developed approach. (shrink)
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  11. Neutrosophic Algebraic Structures and Their Applications.Florentin Smarandache, Memet Şahin, Derya Bakbak, Vakkas Uluçay & Abdullah Kargın - 2022 - Gallup, NM, USA: NSIA Publishing House.
    Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, (...)
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  12. New Trends in Neutrosophic Theories and Applications, Volume III.Florentin Smarandache & Surapati Pramanik (eds.) - 2024
    The field of neutrosophic set theory and its applications has been rapidly expanding, particularly since the introduction of the journal "Neutrosophic Sets and Systems." New theories, techniques, and algorithms are being developed at a very high rate. One of the most notable trends in neutrosophic theory is its hybridization with other set theories such as rough set theory, bipolar set theory, soft set theory, hesitant fuzzy set theory, and more. Various hybrid structures like rough neutrosophic sets, (...)
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  13. Algebraic Structures in the Universe of Neutrosophic: Analysis with Innovative Algorithmic Approaches.Florentin Smarandache, Derya Bakbak, Vakkas Uluçay, Abdullah Kargın & Necmiye Merve Şahin (eds.) - 2024
    Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, (...)
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  14. Soft Interval-Valued Neutrosophic Rough Sets.Said Broumi & Florentin Smarandache - 2015 - Neutrosophic Sets and Systems 7:69-80.
    In this paper, we first defined soft intervalvalued neutrosophic rough sets(SIVN- rough sets for short) which combines interval valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of soft interval valued intuitionistic fuzzy rough sets( SIVIF- rough sets). Finally an illustartive example is given to verfy the developped algorithm and to demonstrate its practicality and effectiveness.
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  15. Neutrosophic Transport and Assignment Issues. Arabic version.Florentin Smarandache - 2023 - Infinite Study.
    We all know that problems of transportation and allocation appear frequently in practical life. We need to transfer materials from production centers to consumption centers to secure the areas’ need for the transported material or allocate machines or people to do a specific job at the lowest cost, or in the shortest time. We know that the cost factors Time is one of the most important factors that decision-makers care about because it plays an “important” role in many of the (...)
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  16. Algebraic structures of neutrosophic triplets, neutrosophic duplets, or neutrosophic multisets. Volume I.Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali - 2018 - Basel, Switzerland: MDPI. Edited by Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali.
    The topics approached in the 52 papers included in this book are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; multi-criteria (...)
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    Clustering Methods Using Distance-Based Similarity Measures of Single-Valued Neutrosophic Sets.Jun Ye - 2014 - Journal of Intelligent Systems 23 (4):379-389.
    Clustering plays an important role in data mining, pattern recognition, and machine learning. Single-valued neutrosophic sets are useful means to describe and handle indeterminate and inconsistent information that fuzzy sets and intuitionistic fuzzy sets cannot describe and deal with. To cluster the data represented by single-valued neutrosophic information, this article proposes single-valued neutrosophic clustering methods based on similarity measures between SVNSs. First, we define a generalized distance measure between SVNSs and propose two distance-based similarity measures of SVNSs. (...)
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  18. Interpretation of Neutrosophic Soft cubic T-ideal in the Environment of PS-Algebra.Neha Andaleeb Khalid, Muhammad Saeed & Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 58.
    This study provides an innovative approach to neutrosophic algebraic structures by introducing a new structure called Neutrosophic Soft Cubic T-ideal (NSCTID), which combines T-ideal (TID) and neutrosophic Soft Cubic Sets (NSCSs) within the framework of PS-Algebra. Within the already-existing neutrosophic cubic structures, the addition of soft sets with the characteristics of TID makes this structure more desirable. The theoretical development of the proposed structure includes the application of fundamental ideas as union, intersection, the Cartesian product, and (...)
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  19. Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond. Second volume.Takaaki Fujita & Florentin Smarandache - 2024
    The second volume of “Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond” presents a deep exploration of the progress in uncertain combinatorics through innovative methodologies like graphization, hyperization, and uncertainization. This volume integrates foundational concepts from fuzzy, neutrosophic, soft, and rough set theory, among others, to further advance the field. Combinatorics and set theory, two central pillars of mathematics, focus on counting, arrangement, and the study of collections under defined rules. Combinatorics excels (...)
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  20. Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond. Third volume.Florentin Smarandache - 2024
    The third volume of “Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutrosophic, Soft, Rough, and Beyond” presents an in-depth exploration of the cutting-edge developments in uncertain combinatorics and set theory. This comprehensive collection highlights innovative methodologies such as graphization, hyperization, and uncertainization, which enhance combinatorics by incorporating foundational concepts from fuzzy, neutrosophic, soft, and rough set theories. These advancements open new mathematical horizons, offering novel approaches to managing uncertainty within complex systems. Combinatorics, a discipline focused on (...)
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  21. Algebraic structures of neutrosophic triplets, neutrosophic duplets, or neutrosophic multisets. Volume II.Florentin Smarandache, Xiaohong Zhang & Mumtaz Ali - 2019 - Basel, Switzerland: MDPI.
    The topics approached in this collection of papers are: neutrosophic sets; neutrosophic logic; generalized neutrosophic set; neutrosophic rough set; multigranulation neutrosophic rough set (MNRS); neutrosophic cubic sets; triangular fuzzy neutrosophic sets (TFNSs); probabilistic single-valued (interval) neutrosophic hesitant fuzzy set; neutro-homomorphism; neutrosophic computation; quantum computation; neutrosophic association rule; data mining; big data; oracle Turing machines; recursive enumerability; oracle computation; interval number; dependent degree; possibility degree; power aggregation operators; multi-criteria group decision-making (MCGDM); (...)
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  22. Uniform Single Valued Neutrosophic Graphs.S. Broumi, A. Dey, A. Bakali, M. Talea, F. Smarandache, L. H. Son & D. Koley - 2017 - Neutrosophic Sets and Systems 17:42-49.
    In this paper, we propose a new concept named the uniform single valued neutrosophic graph. An illustrative example and some properties are examined. Next, we develop an algorithmic approach for computing the complement of the single valued neutrosophic graph. A numerical example is demonstrated for computing the complement of single valued neutrosophic graphs and uniform single valued neutrosophic graph.
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  23. The Graphical Method for Finding the Optimal Solution for Neutrosophic linear Models and Taking Advantage of Non-Negativity Constraints to Find the Optimal Solution for Some Neutrosophic linear Models in Which the Number of Unknowns is More than Three.Maissam Jdid & Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 58.
    The linear programming method is one of the important methods of operations research that has been used to address many practical issues and provided optimal solutions for many institutions and companies, which helped decision makers make ideal decisions through which companies and institutions achieved maximum profit, but these solutions remain ideal and appropriate in If the conditions surrounding the work environment are stable, because any change in the data provided will affect the optimal solution and to avoid losses and achieve (...)
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  24.  14
    Simplicial algorithms for minimizing polyhedral functions.M. R. Osborne - 2001 - New York: Cambridge University Press.
    Polyhedral functions provide a model for an important class of problems that includes both linear programming and applications in data analysis. General methods for minimizing such functions using the polyhedral geometry explicitly are developed. Such methods approach a minimum by moving from extreme point to extreme point along descending edges and are described generically as simplicial. The best-known member of this class is the simplex method of linear programming, but simplicial methods have found important applications in discrete approximation and (...)
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  25. NeutroAlgebra Theory, volume I.Florentin Smarandache, Memet Şahin, Derya Bakbak, Vakkas Uluçay & Abdullah Kargın - 2021 - Grandview Heights, OH, USA: Educational Publisher.
    Neutrosophic theory and its applications have been expanding in all directions at an astonishing rate especially after of the introduction the journal entitled “Neutrosophic Sets and Systems”. New theories, techniques, algorithms have been rapidly developed. One of the most striking trends in the neutrosophic theory is the hybridization of neutrosophic set with other potential sets such as rough set, bipolar set, soft set, hesitant fuzzy set, etc. The different hybrid structures such as rough neutrosophic set, (...)
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  26. Entropy of Polysemantic Words for the Same Part of Speech.Mihaela Colhon, Florentin Smarandache & Dan Valeriu Voinea - unknown
    In this paper, a special type of polysemantic words, that is, words with multiple meanings for the same part of speech, are analyzed under the name of neutrosophic words. These words represent the most dif cult cases for the disambiguation algorithms as they represent the most ambiguous natural language utterances. For approximate their meanings, we developed a semantic representation framework made by means of concepts from neutrosophic theory and entropy measure in which we incorporate sense related data. We (...)
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  27.  34
    実数値 Ga におけるシンプレクス交叉の提案.Tsutsui Shigeyoshi Higuchi Takahide - 2001 - Transactions of the Japanese Society for Artificial Intelligence 16:147-155.
    In this paper, we perform theoretical analysis and experiments on the Simplex Crossover (SPX), which we have proposed. Real-coded GAs are expected to be a powerful function optimization technique for real-world applications where it is often hard to formulate the objective function. However, we believe there are two problems which will make such applications difficult; 1) performance of real-coded GAs depends on the coordinate system used to express the objective function, and 2) it costs much labor to adjust parameters (...)
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  28. Active set Methods for Problems in Column Block Angular Form.Julio Michael Stern & Stephen A. Vavasis - 1993 - Computational and Applied Mathematics 12 (3):199-226.
    We study active set methods for optimization problems in Block Angular Form (BAF). We begin by reviewing some standard basis factorizations, including Saunders' orthogonal factorization and updates for the simplex method that do not impose any restriction on the pivot sequence and maintain the basis factorization structured in BAF throughout the algorithm. We then suggest orthogonal factorization and updating procedures that allow coarse grain parallelization, pivot updates local to the affected blocks, and independent block reinversion. A simple parallel (...)
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  29. Neutrosophic Modal Logic.Florentin Smarandache - 2017 - Neutrosophic Sets and Systems 15:90-96.
    We introduce now for the first time the neutrosophic modal logic. The Neutrosophic Modal Logic includes the neutrosophic operators that express the modalities. It is an extension of neutrosophic predicate logic and of neutrosophic propositional logic.
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  30. Neutrosophic Decision-Making Model for Determining Young People's Active Engagement.Mihaela Colhon, Monica Tilea, Alina Resceanu, Ana Gonzalez-Marcos, Florentin Smarandache & Fermin Navaridas-Nalda - 2024 - International Journal of Information Technology and Decision Making 3 (2):569-598.
    Young people’s skills and attitudes must be observed, studied and evaluated in order to create appropriate models that would serve an educational purpose. In this paper, we propose a decision-making model with the aim to detect certain attitudinal and behavioral patterns of actively engaged young people. The data used in this research resulted from a questionnaire drawn up by a group of researchers from six European countries with the aim to investigate the youth’s awareness about the Sustainable Development Goals and (...)
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  31. Neutrosophic SuperHyperAlgebra and New Types of Topologies.Florentin Smarandache - 2023 - Infinite Study. Edited by Florentin Smarandache, Memet Şahin, Derya Bakbak, Vakkas Uluçay & Abdullah Kargın.
    The n-th PowerSet is used in defining the SuperHyperOperation, SuperHyperAxiom, and their corresponding Neutrosophic SuperHyperOperation, Neutrosophic SuperHyperAxiom in order to build the SuperHyperAlgebra and Neutrosophic SuperHyperAlgebra. In general, in any field of knowledge, one in fact encounters SuperHyperStructures. Also, six new types of topologies have been introduced in the last years (2019-2022), such as: Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, NeutroTopology, AntiTopology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. Neutrosophic set has been derived from a (...)
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  32. Quadruple neutrosophic theory and applications.Florentin Smarandache, Memet Şahin, Vakkas Uluçay & Abdullah Kargın - 2020 - Brussels, Belgium: Pons Editions.
    Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific and (...)
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  33. Neutrosophic Crisp Set Theory.A. A. Salama & Florentin Smarandache - 2015 - Columbus, OH, USA: Educational Publishers.
    Since the world is full of indeterminacy, the Neutrosophics found their place into contemporary research. We now introduce for the first time the notions of Neutrosophic Crisp Sets and Neutrosophic Topology on Crisp Sets. We develop the 2012 notion of Neutrosophic Topological Spaces and give many practical examples. Neutrosophic Science means development and applications of Neutrosophic Logic, Set, Measure, Integral, Probability etc., and their applications in any field. It is possible to define the neutrosophic (...)
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  34.  68
    Neutrosophic Fuzzy Boundary Value Problem under Generalized Hukuhara Differentiability.Baseem Kamal, A. A. Salama, M. Shokry, Magdi S. El-Azab & Galal I. El-Baghdady - 2021 - Neutrosophic Sets and Systems 47:97-200.
    In this article, the main definitions and differentiation concepts of neutrosophic fuzzy environment will be reviewed. This article will introduce an analytical methodology for solving the second-order linear ordinary differential problem with neutrosophic fuzzy boundary values, this analysis will be under generalized Hukuhara differentiability to show the analytical solutions from a different point of view for the uncertain system, some of these solutions may be decreasing in uncertainty or maybe reflecting the behavior of some real-world systems better. Some (...)
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  35. Neutrosophy: neutrosophic probability, set, and logic: analytic synthesis & synthetic analysis.Florentin Smarandache - 1998 - Rehoboth, NM: American Research Press.
  36. Neutrosophic overset, neutrosophic underset, and neutrosophic offset: similarly for neutrosophic over-/under-/off-logic, probability, and statistics.Florentin Smarandache - 2016 - Brussels: Pons Editions.
    Neutrosophic Over-/Under-/Off-Set and -Logic were defined for the first time by Smarandache in 1995 and published in 2007. They are totally different from other sets/logics/probabilities. He extended the neutrosophic set respectively to Neutrosophic Overset {when some neutrosophic component is > 1}, Neutrosophic Underset {when some neutrosophic component is < 0}, and to Neutrosophic Offset {when some neutrosophic components are off the interval [0, 1], i.e. some neutrosophic component > 1 and other (...)
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  37. Neutrosophic Statistics is an extension of Interval Statistics, while Plithogenic Statistics is the most general form of statistics (second version).Florentin Smarandache - 2022 - International Journal of Neutrosophic Science 19 (1):148-165.
    In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations, etc.), it allows the reduction of indeterminacy, and it uses the neutrosophic probability that is more general than imprecise and classical probabilities and has more detailed corresponding probability density functions. While Interval Statistics only deals with indeterminacy that can be represented by intervals. And we (...)
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  38.  47
    Introduction to neutrosophic logic.Charles Ashbacher - 2002 - Rehoboth, NM: American Research Press.
    Neutrosophic Logic was created by Florentin Smarandache (1995) and is an extension / combination of the fuzzy logic, intuitionistic logic, paraconsistent logic, ...
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  39. Neutrosophic Knowledge. Journal of Modern Science and Arts, vol. 1, 2020.A. A. Salama, Florentin Smarandache & Ibraheem Yasser (eds.) - 2020 - Gallup, NM, USA: University of New Mexico.
    “Neutrosophics Knowledge” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. The submitted papers should be professional, in good English and Arabic, containing a brief review of a problem and obtained results. Neutrosophy is a new branch of philosophy that studies the origin, nature, and scope (...)
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  40. A Bipolar Neutrosophic Multi Criteria Decision Making Framework for Professional Selection.Mohamed Abdel-Basset, Abduallah Gamal, Le Hoang Son & Florentin Smarandache - 2020 - Applied Sciences 10 (1):1-21.
    In this paper, we propose a new hybrid neutrosophic multi criteria decision making (MCDM) framework that employs a collection of neutrosophic analytical network process (ANP), and order preference by similarity to ideal solution (TOPSIS) under bipolar neutrosophic numbers. The MCDM framework is applied for chief executive officer (CEO) selection in a case study at the Elsewedy Electric Group, Egypt. The proposed approach allows us to assemble individual evaluations of the decision makers and therefore perform accurate personnel selection. (...)
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  41. Using Neutrosophic Trait Measures to Analyze Impostor Syndrome in College Students after COVID-19 Pandemic with Machine Learning.Riya Eliza Shaju, Meghana Dirisala, Muhammad Ali Najjar, Ilanthenral Kandasamy, Vasantha Kandasamy & Florentin Smarandache - 2023 - Neutrosophic Sets and Systems 60:317-334.
    Impostor syndrome or Impostor phenomenon is a belief that a person thinks their success is due to luck or external factors, not their abilities. This psychological trait is present in certain groups like women. In this paper, we propose a neutrosophic trait measure to represent the psychological concept of the trait-anti trait using refined neutrosophic sets. This study analysed a group of 200 undergraduate students for impostor syndrome, perfectionism, introversion and self-esteem: after the COVID pandemic break in 2021. (...)
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  42. Rough Neutrosophic Sets.Said Broumi, Florentin Smarandache & Mamoni Dhar - 2014 - Neutrosophic Sets and Systems 3:60-65.
    Both neutrosophic sets theory and rough sets theory are emerging as powerful tool for managing uncertainty, indeterminate, incomplete and imprecise information .In this paper we develop an hybrid structure called “ rough neutrosophic sets” and studied their properties.
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  43. A New Type of Neutrosophic Set in Pythagorean Fuzzy Environment and Applications to Multi-criteria Decision Making.Mahmut Can Bozyigit, Florentin Smarandache, Murat Olgun & Mehmet Unver - 2023 - International Journal of Neutrosophic Science 20 (2):107-134.
    In this paper, we introduce the concepts of Pythagorean fuzzy valued neutrosophic set (PFVNS) and Pythagorean fuzzy valued neutrosophic (PFVNV) constructed by considering Pythagorean fuzzy values (PFVs) instead of numbers for the degrees of the truth, the indeterminacy and the falsity, which is a new extension of intuitionistic fuzzy valued neutrosophic set (IFVNS). By means of PFVNSs, the degrees of the truth, the indeterminacy and the falsity can be given in Pythagorean fuzzy environment and more sensitive evaluations (...)
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  44.  26
    New Types of Neutrosophic Crisp Closed Sets.Ahmed B. Al-Nafee, A. A. Salama & Florentin Smarandache - 2020 - Neutrosophic Sets and Systems 36:175-183.
    The neutrosophic sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these the concepts to define a new types of neutrosophic crisp closed sets and limit points in neutrosophic crisp topological space, namly [neutrosophic crisp Gem sets and neutrosophic crisp Turig points] respactvely, we stady their properties in details and join it with topological concepts. Finally we used [neutrosophic crisp Gem sets and (...)
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  45. Neutrosophic Super Matrices and Quasi Super Matrices.Florentin Smarandache & W. B. Vasantha Kandasamy - 2012 - Columbus, OH, USA: Zip Publishing.
    In this book authors study neutrosophic super matrices. The concept of neutrosophy or indeterminacy happens to be one the powerful tools used in applications like FCMs and NCMs where the expert seeks for a neutral solution. Thus this concept has lots of applications in fuzzy neutrosophic models like NRE, NAM etc. These concepts will also find applications in image processing where the expert seeks for a neutral solution.
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  46. Neutrosophic Triplet Structures. Volume I.Florentin Smarandache & Memet Şahin (eds.) - 2019 - Brussels, Belgium, EU: Pons editions.
    Neutrosophic set has been derived from a new branch of philosophy, namely Neutrosophy. Neutrosophic set is capable of dealing with uncertainty, indeterminacy and inconsistent information. Neutrosophic set approaches are suitable to modeling problems with uncertainty, indeterminacy and inconsistent information in which human knowledge is necessary, and human evaluation is needed. Neutrosophic set theory was firstly proposed in 1998 by Florentin Smarandache, who also developed the concept of single valued neutrosophic set, oriented towards real world scientific (...)
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  47. Filters via Neutrosophic Crisp Sets.A. Salama & Florentin Smarandache - 2013 - Neutrosophic Sets and Systems 1:34-37.
    In this paper we introduce the notion of filter on the neutrosophic crisp set, then we consider a generalization of the filter’s studies. Afterwards, we present the important neutrosophic crisp filters. We also study several relations between different neutrosophic crisp filters and neutrosophic topologies. Possible applications to database systems are touched upon.
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  48.  14
    Neutrosophic graphs: a new dimension to graph theory.Vasantha Kandasamy & B. W. - 2015 - Bruxelles, Belgium: EuropaNova. Edited by K. Ilanthenral & Florentin Smarandache.
    Studies to neutrosophic graphs happens to be not only innovative and interesting, but gives a new dimension to graph theory. The classic coloring of edge problem happens to give various results. Neutrosophic tree will certainly find lots of applications in data mining when certain levels of indeterminacy is involved in the problem. Several open problems are suggested.
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  49. Bipolar Neutrosophic Projection Based Models for Solving Multi-Attribute Decision-Making Problems.Surapati Pramanik, Partha Pratim Dey, Bibhas C. Giri & Florentin Smarandache - 2017 - Neutrosophic Sets and Systems 15:70-79.
    Bipolar neutrosophic sets are the extension of neutrosophic sets and are based on the idea of positive and negative preferences of information. Projection measure is a useful apparatus for modelling real life decision making problems. In the paper, we define projection, bidirectional projection and hybrid projection measures between bipolar neutrosophic sets. Three new methods based on the proposed projection measures are developed for solving multi-attribute decision making problems. In the solution process, the ratings of performance values of (...)
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  50.  35
    Neutrosophic Graphs of Finite Groups.T. Chalapathi & R. V. M. S. S. Kiran Kumar - 2017 - Neutrosophic Sets and Systems 15:22-30.
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