Credibility Measure Theory Analysis

AbstractThis paper gives some simple examples to explain the biggest mistake of fuzzy sets is that definition of fuzzy sets with mapping, but that the definition of “Membership Function” “can not express” and “can not express accurately” the problems of the fuzzy information. On this basis, through discussion of three possibility measure axioms, it points out that the possibility measure is not correct. And it gives examples to point out the unparallelism of the credibility measure and the possibility measure. Therefore, to solve the problems of fuzzy mathematics should start from the definition of fuzzy subsets of this fundamental problems, rather than repair the existing theory or establish the axiom system