Elsevier

Fuzzy Sets and Systems

Volume 24, Issue 1, October 1987, Pages 65-78
Fuzzy Sets and Systems

Vertex method for computing functions of fuzzy variables

https://doi.org/10.1016/0165-0114(87)90114-XGet rights and content

Abstract

This paper is to introduce a new approach — the vertex method — for computing functions of fuzzy variables. The method is based on the α-cut concept and interval analysis. The vertex method can avoid abnormality due to the discretization technique on the variables domain and the widening of the resulting function value set due to multi-occurrence of variables in the functional expression by conventional interval analysis methods. The algorithm is very easy to implement and can be applied to many practical problems. Some examples are given to illustrate the applications.

References (9)

There are more references available in the full text version of this article.

Cited by (528)

View all citing articles on Scopus

Visiting Scholar, The John A. Blume Earthquake Center, Department of Civil Engineering, Stanford University.

View full text