Ranking fuzzy variables in terms of credibility measure

Authors:
Jin Peng;Huanbin Liu;Gang Shang
Affiliations:
College of Mathematics and Information Sciences, Huanggang Normal University, Huanggang City, Hubei, China;College of Mathematics and Information Sciences, Huanggang Normal University, Huanggang City, Hubei, China;College of Mathematics and Information Sciences, Huanggang Normal University, Huanggang City, Hubei, China
Venue:
FSKD'06 Proceedings of the Third international conference on Fuzzy Systems and Knowledge Discovery
Year:
2006

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Abstract

Fuzzy variables are used for representing imprecise numerical quantities in a fuzzy environment, and the comparison of fuzzy variables is considered an important and complicated issue in fuzzy logic theory and applications. In this paper, we propose a new type of method for ranking fuzzy variables in the setting of credibility measure. Some basic properties of this type of ranking fuzzy variable in terms of credibility measure are investigated. As an illustration, the case of ranking rule for typical trapezoidal fuzzy variables is examined.