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.

Item Type: Journal Article
Journal or Publication Title: International Journal of Intelligent Systems
Uncontrolled Keywords: /dk/atira/pure/researchoutput/libraryofcongress/qa75
Departments: Faculty of Science and Technology > School of Computing & Communications
ID Code: 913
Deposited By: Dr. Plamen Angelov
Deposited On: 09 Jan 2008 09:45
Refereed?: Yes
Published?: Published
Last Modified: 01 Dec 2019 02:33
URI: https://eprints.lancs.ac.uk/id/eprint/913

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