What if utility functions do not exist?

Theory and Decision 3 (2):126-139 (1972)
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Foundational aspects of theories of measurement.Dana Scott & Patrick Suppes - 1958 - Journal of Symbolic Logic 23 (2):113-128.
Lattice Theory.Garrett Birkhoff - 1940 - Journal of Symbolic Logic 5 (4):155-157.
Extensive measurement in semiorders.David H. Krantz - 1967 - Philosophy of Science 34 (4):348-362.

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