Article ID Journal Published Year Pages File Type
391241 Fuzzy Sets and Systems 2007 8 Pages PDF
Abstract

In this paper, we propose some generalized and new properties of the trapezoidal approximations of fuzzy numbers. First, we claim that the trapezoidal approximation operator is linear with respect to the operations of fuzzy numbers. Second, we show a new property concerning the centroid points of fuzzy numbers. Furthermore, a comment for computing the trapezoidal approximations is provided. Finally, some properties about the distance between a fuzzy number and its trapezoidal approximation are proved.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence