A generalized approach to fuzzy optimization

Angelov, Plamen (1994) A generalized approach to fuzzy optimization. International Journal of Intelligent Systems, 9 (3). pp. 261-268. ISSN 1098-111X

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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.

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Journal Article
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International Journal of Intelligent Systems
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09 Jan 2008 09:45
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21 Nov 2022 20:46