Fuzzy dominance based on credibility distributions

Authors:
Jin Peng;Henry M. K. Mok;Wai-Man Tse
Affiliations:
Department of Mathematics, Huanggang Normal University, Hubei, China;Department of Decision Sciences and Managerial Economics, The Chinese University of Hong Kong, Hong Kong;Department of Statistics, The Chinese University of Hong Kong, Hong Kong
Venue:
FSKD'05 Proceedings of the Second international conference on Fuzzy Systems and Knowledge Discovery - Volume Part I
Year:
2005

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Abstract

Comparison of fuzzy variables is considered one of the most important and interesting topics in fuzzy theory and applications. This paper introduces the new concept of fuzzy dominance based on credibility distributions of fuzzy variables. Some basic properties of fuzzy dominance are investigated. As an illustration, the first order case of fuzzy dominance rule for typical triangular fuzzy variables is examined.