Volume 4, Issue 1-2, January 2015, Page: 20-30
Linear Fractional Multi-Objective Optimization Problems Subject to Fuzzy Relational Equations with the Max-Average Composition
Z. Valizadeh-Gh, Department of Mathematics, Roudehen Branch, Islamic Azad University, Roudehen, Iran
E. Khorram, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran
E. Khorram, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran
Received: Dec. 21, 2014;
Accepted: Jan. 19, 2015;
Published: Feb. 8, 2015
DOI: 10.11648/j.acm.s.2015040102.15 View 3053 Downloads 174
Abstract
In this paper, linear fractional multi-objective optimization problems subject to a system of fuzzy relational equations (FRE) using the max-average composition are considered. First, some theorems and results are presented to thoroughly identify and reduce the feasible set of the fuzzy relation equations. Next, the linear fractional multi-objective optimization problem is converted to a linear one using Nykowski and Zolkiewski's approach. Then, the efficient solutions are obtained by applying the improved ε-constraint method. Finally, the proposed method is effectively tested by solving a consistent test problem.
Keywords
Fuzzy Relational Equation, The Max-Average Composition, Linear Fractional Multi-Objective Optimization Problems, The Improved ε-Constraint Method
To cite this article
Z. Valizadeh-Gh,
E. Khorram,
Linear Fractional Multi-Objective Optimization Problems Subject to Fuzzy Relational Equations with the Max-Average Composition, Applied and Computational Mathematics. Special Issue: New Advances in Fuzzy Mathematics: Theory, Algorithms, and Applications.
Vol. 4, No. 1-2,
2015, pp. 20-30.
doi: 10.11648/j.acm.s.2015040102.15
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