LEVEL CREDITABILITY OF FUZZY NUMBERS AND ITS PROPERTIES
Making fuzzy information locally clarified by level cut-sets is a common method facing with many actual problems such as uncertainty optimization, fuzzy information processing and fuzzy control. Because all the discussions based on level cut-sets depend on its creditability, it has important theoretical and practical significance to establish a method 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 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 λ∈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.
Fuzzy number Level cut-set Level creditability Optimization
ZHAN-JING WANG SHU-TIAN WANG LI-MIN LIU
School of Mathematics and Statistics, Hebei University of Economics and Bussiness, Shijiazhuang 0500 Department of Basic Science, Hebei Institute of Industry Technology, Shijiazhuang 050091, China College of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China
国际会议
2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)
大连
英文
1948-1953
2006-08-13（万方平台首次上网日期，不代表论文的发表时间）