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Some dissenting views on the transitivity of individual preference

1990

(1) The transitivity property is not a necessary condition for the rationality of all individual preference relations. (2) A weakened definition of the transitivity is not necessarily relevant. (3) The non-transitivity of fuzzy preference relations is not inconsistent with a fuzzy total preorder structure on the set of alternatives.

Discrete mathematicsStructure (mathematical logic)Transitive relationProperty (philosophy)PreorderGeneral Decision SciencesRationalityManagement Science and Operations ResearchEuclidean relationMathematical economicsFuzzy logicPreferenceMathematicsAnnals of Operations Research
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