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On fuzzy preference relations
Author(s) -
Ovchinnikov Sergei
Publication year - 1991
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.4550060209
Subject(s) - transitive relation , preference , preference relation , mathematics , negation , contradiction , binary relation , fuzzy logic , propositional calculus , mathematical economics , algebra over a field , discrete mathematics , pure mathematics , artificial intelligence , computer science , epistemology , combinatorics , statistics , philosophy , programming language
Triangular norms, conorms, and negation functions are used as interpretations for propositional connectives in a multiple‐valued logic model for fuzzy binary relations of weak preference, strict preference, and indifference. It is shown that the Law of Contradiction is a necessary condition for the very existence of reflexive transitive fuzzy binary relations. Basic properties of indifference and strict preference relations are established including transitivity of a strict preference.