On Compatibility of Interval Fuzzy Preference Relations

Authors:
Zeshui Xu
Affiliations:
College of Economics and Management, Southeast University, Nanjing, Jiangsu 210096, China/ xu&lowbar/zeshui@263.net
Venue:
Fuzzy Optimization and Decision Making
Year:
2004

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Abstract

This paper defines the concept of compatibility degree of two interval fuzzy preference relations, and gives a compatibility index of two interval fuzzy preference relations. It is proven that an interval fuzzy preference relation B and the synthetic interval fuzzy preference relation of interval fuzzy preference relations A1,A2,…,As are of acceptable compatibility under the condition that the interval fuzzy preference relation B and each of the interval fuzzy preference relations Al,A2,…,As are of acceptable compatibility, and thus a theoretic basis has been developed for the application of the interval fuzzy preference relations in group decision making.