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Prioritization of Incomplete Fuzzy Preference Relation
2008The concept of incomplete fuzzy preference relation is discussed in this paper. We focus on additive consistent incomplete fuzzy preference relations, in which the correspondence between priority vector and incomplete fuzzy preference relation is investigated. We find that an additive consistent incomplete fuzzy preference relation does not imply there
Hsuan-Shih Lee, Pei-Di Shen, Wen-Li Chyr
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International Journal of Intelligent Systems, 1991
Summary: 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 ...
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Summary: 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 ...
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Decision-making with a fuzzy preference relation
Fuzzy Sets and Systems, 1978Abstract In most decisio-making problems a preference relation in the set of alternatives is of a fuzzy nature, reflecting for instance on the fuzziness of experts estimates of the preferences. In this paper, the corresponding fuzzy equivalence and strict preference relations are defined for a given fuzzy non-strict preference relation in an unfuzzy ...
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Canonical Fuzzy Preference Relations
2019Fuzzy preference matrices are an important tool for group decision making. Often not all group members are willing or able to provide their preferences in the form of fuzzy preference matrices but only in the form of crisp rank orders of options. In this paper we introduce the concepts of reciprocal canonical fuzzy preference matrices and preference ...
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On modelling fuzzy preference relations
2005A theory of a fuzzy weak preference relation based on multiple-valued logic is developed. The transitivity property of fuzzy strict preference and indifference relations associated with a fuzzy weak preference relation is established.
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Rationality of fuzzy reciprocal preference relations
Fuzzy Sets and Systems, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A new fuzzy ranking method using fuzzy preference relations
2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014In this paper, a new fuzzy ranking method for both type-1 and interval type-2 fuzzy sets (FSs) using fuzzy preference relations is proposed. The use of fuzzy preference relations to rank FSs with vertices has been introduced, and successfully implemented to undertake fuzzy multiple criteria hierarchical group decision-making problems.
Kok Chin Chai +2 more
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Ranking fuzzy numbers with extended fuzzy preference relation
2001 IEEE International Conference on Systems, Man and Cybernetics. e-Systems and e-Man for Cybernetics in Cyberspace (Cat.No.01CH37236), 2002The crux of the paper is to propose a new ranking method based on a preference relation which is not only easy to compute but also preserving some good properties such as additivity. First, we extend the definition of fuzzy preference relation so that the degree of preference is not confined within 0 and 1.
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Intuitionistic Fuzzy Preference Relations
2012In any fuzzy preference relation (FPR), each element denotes the membership degree of how one decision alternative is preferred to another. The values of these elements range between 0 and 1. This key idea originates from Zadeh’s concept of fuzzy sets (Zadeh, 1965).
Zaiwu Gong, Yi Lin, Tianxiang Yao
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A method for repairing the inconsistency of fuzzy preference relations
Fuzzy Sets and Systems, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian Ma 0008 +4 more
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