✦ LIBER ✦

A generalized approach to fuzzy optimization

✍ Scribed by Plamen Angelov

Publisher: John Wiley and Sons
Year: 1994
Tongue: English
Weight: 338 KB
Volume: 9
Category: Article
ISSN: 0884-8173
DOI: 10.1002/int.4550090302

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✦ Synopsis

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.

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