Abstract:
Fuzzy relation is one of the fundamental concepts in fuzzy set theory.This paper presents a kind of fuzzy consistent relation,which satisfies center-division ransitivity and thus conforms to the psychological characteristic of human decision making.When discourse is finite,fuzzy consistent relation may be described by fuzzy consistent matrix.The combined operation and construction of fuzzy consistent relation are discussed.Finally,the applications of fuzzy consistent relation in system evaluation are explained shortly.