TY  - EJOU
AU  - Amrahov, Şahin Emrah 
AU  - N.Askerzade, Iman 

TI  - Fuzzy Optimization of Multivariable Fuzzy Functions
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2010
VL  - 70
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Multivariable Fuzzy Functions
KW  -  Maximizing and minimizing set
KW  -  Pareto optimum
KW  -  Lagrange multipliers
KW  -  membership function
KW  -  nonlinear optimization

DO  - 10.3970/cmes.2010.070.001