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Fuzzy Optimization of Multivariable Fuzzy Functions
Ankara University. Computer Engineering Department, Turkey
Computer Modeling in Engineering & Sciences 2010, 70(1), 1-10. https://doi.org/10.3970/cmes.2010.070.001
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In this paper we define multivariable fuzzy functions (MFF) and corresponding multivariable crisp functions (MCF). Then we give a definition for the maximum value of MFF, which in some cases coincides with the maximum value in Pareto sense. We introduce generalized maximizing and minimizing sets in order to determine the maximum values of MFF. By equating membership functions of a given fuzzy domain set and the corresponding maximizing set, we obtain a curve of equal possibilities. Then we use the method of Lagrange multipliers to solve the resulting nonlinear optimization problem when the membership functions are differentiable. We finally present examples of finding extreme points of MFF.Keywords
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APA Style
Amrahov, Ş.E., N.Askerzade, I. (2010). Fuzzy optimization of multivariable fuzzy functions. Computer Modeling in Engineering & Sciences, 70(1), 1-10. https://doi.org/10.3970/cmes.2010.070.001
Vancouver Style
Amrahov ŞE, N.Askerzade I. Fuzzy optimization of multivariable fuzzy functions. Comput Model Eng Sci. 2010;70(1):1-10 https://doi.org/10.3970/cmes.2010.070.001
IEEE Style
Ş.E. Amrahov and I. N.Askerzade, “Fuzzy Optimization of Multivariable Fuzzy Functions,” Comput. Model. Eng. Sci., vol. 70, no. 1, pp. 1-10, 2010. https://doi.org/10.3970/cmes.2010.070.001
Copyright © 2010 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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