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A generalized approach to fuzzy optimization
Author(s) -
Angelov Plamen
Publication year - 1994
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.4550090302
Subject(s) - defuzzification , generalization , mathematical optimization , intersection (aeronautics) , parametric programming , mathematics , fuzzy set operations , fuzzy logic , simple (philosophy) , fuzzy classification , computer science , fuzzy number , parametric statistics , fuzzy set , artificial intelligence , mathematical analysis , philosophy , statistics , epistemology , aerospace engineering , engineering
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.