A New Creditability Index of Fuzzy Numbers and Its Properties

In this paper, based on the Lebesgue measure of level cutsets and the membership degree of an element in level cut-sets, we introduce the concept of level creditability of fuzzy numbers, present a necessary and sufficient condition of level creditability being equal to 1 for each ¿ ¿ [0,1], and then consider the basic properties (such as continuity, monotonicity etc.) of level creditability and the integral properties of fuzzy numbers. In the last, we constitute the formulas computing the level creditability of triangular fuzzy numbers and trapezoid fuzzy numbers.