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RESEARCH PRODUCT

Some dissenting views on the transitivity of individual preference

Claude Ponsard

subject

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

description

(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.

yearjournalcountryeditionlanguage
1990-12-01Annals of Operations Research
https://doi.org/10.1007/bf02204852