Article ID Journal Published Year Pages File Type
390905 Fuzzy Sets and Systems 2008 14 Pages PDF
Abstract

This article presents a proposal for the decomposition of large ranges of uncertainty associated with the Cartesian product of two fuzzy intervals. We compute an approximation of the fuzzy set obtained by applying extension principle to a real function by means of this decomposition and piecewise linearization of the function. It is proved the efficiency of the method via convergence in D-metric. We also extend the method to the case when the function has more than two arguments. Some examples are included to illustrate the proposed method and to compare it with others.

Related Topics
Physical Sciences and Engineering Computer Science Artificial Intelligence