LEVEL CREDITABILITY OF FUZZY NUMBERS AND ITS PROPERTIES

摘要

Making fuzzy information locally clarified by level cut-sets is a common approach facing with many practical problems such as uncertainty optimization, fuzzy information processing and fuzzy control. Because all the discussions depend on the creditability of the level cut-sets, it has important theoretical and practical significance to give an approach for measuring the creditability of level cut-sets. In this paper, based on the Lebesgue measure of level cut-sets and the membership degree of an element in a level cut-set, we introduce the concept of level creditability of fuzzy numbers, and then consider the basic properties of level creditability and the integral properties of fuzzy numbers. At last, we constitute the formulas computing the level creditability of triangular fuzzy numbers and trapezoid fuzzy numbers.