On Compatibility of Interval Fuzzy Preference Relations
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TL;DR
A theoretic basis has been developed for the application of the interval fuzzy preference relations in group decision making because it is proven that an interval fuzzy preferences relation B and the synthetic intervals fuzzy preference relation A are of acceptable compatibility.
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 A 1,A 2,...,A s are of acceptable compatibility under the condition that the interval fuzzy preference relation B and each of the interval fuzzy preference relations A l,A 2,...,A s 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.
