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A generalized approach to fuzzy optimization

Research output: Contribution to journalJournal article

Published

<mark>Journal publication date</mark>1994
<mark>Journal</mark>International Journal of Intelligent Systems
Issue3
Volume9
Number of pages8
Pages261-268
<mark>Original language</mark>English

Abstract

A new approach to fuzzy optimization based on the generalization of Bellman-Zadeh's (BZ) concept is proposed in this article. It consists of a parametric generalization of intersection of fuzzy sets and a generalized defuzzification method. This approach allows the solving of a fuzzy mathematical programming (FMP) problem without transformation to a crisp one. It takes into account all possible fuzzy decisions and allows the degree of conjunction of criteria and constraints to vary. BZ method can be considered a special case of the approach proposed here. A simple algorithm for noniterative solving FMP problem is proposed whereas well-known Zimmermann's approach uses numerical methods. an illustrative example is presented. © 1994 John Wiley & Sons, Inc.