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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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.

Item Type:
Journal Article
Journal or Publication Title:
International Journal of Intelligent Systems
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1700/1702
Subjects:
?? add dcs-publications-idart-559add dcs-publications-personnel-id82artificial intelligencetheoretical computer sciencesoftwarehuman-computer interactionqa75 electronic computers. computer science ??
ID Code:
913
Deposited By:
Deposited On:
09 Jan 2008 09:45
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 11:37