A genetic algorithm for optimization problems with fuzzy relation constraints using max-product composition

Authors:
Reza Hassanzadeh;Esmaile Khorram;Iraj Mahdavi;Nezam Mahdavi-Amiri
Affiliations:
Mazandaran University of Science and Technology, Babol, Iran;Faculty of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran;Mazandaran University of Science and Technology, Babol, Iran;Faculty of Mathematical Sciences, Sharif University of Technology, Tehran, Iran
Venue:
Applied Soft Computing
Year:
2011

Citing 20
Cited 0

Fuzzy sets, uncertainty, and information

Fuzzy sets, uncertainty, and information
Further contributions to the study of finite fuzzy relations equations

Fuzzy Sets and Systems
Processing in relational structures: fuzzy relational equations

Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Evolving artificial intelligence

Evolving artificial intelligence
Genetic algorithms + data structures = evolution programs (3rd ed.)

Genetic algorithms + data structures = evolution programs (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)

Fuzzy set theory—and its applications (3rd ed.)
Solution algorithms for fuzzy relational equations with max-product composition

Fuzzy Sets and Systems
Solving fuzzy relation equations with a linear objective function

Fuzzy Sets and Systems
Solving nonlinear optimization problems with fuzzy relation equation constraints

Fuzzy Sets and Systems
Fuzzy Relation Equations and Their Applications to Knowledge Engineering

Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Test Examples for Nonlinear Programming Codes

Test Examples for Nonlinear Programming Codes
Multi-objective optimization problems with fuzzy relation equation constraints

Fuzzy Sets and Systems - Special issue: Optimization and decision support systems
Solution of Fuzzy Equations with Max-Product Composition in Inverse Control and Decision Making Problems

Automation and Remote Control
An Algorithm for Solving Optimization Problems with One Linear Objective Function and Finitely Many Constraints of Fuzzy Relation Inequalities

Fuzzy Optimization and Decision Making
Algorithm for Solving Max-product Fuzzy Relational Equations

Soft Computing - A Fusion of Foundations, Methodologies and Applications
Globally optimal solutions of max---min systems

Journal of Global Optimization
Monomial geometric programming with fuzzy relation equation constraints

Fuzzy Optimization and Decision Making
Solving nonlinear optimization problems subjected to fuzzy relation equation constraints with max-average composition using a modified genetic algorithm

Computers and Industrial Engineering
On the relation between equations with max-product composition and the covering problem

Fuzzy Sets and Systems
An accelerated approach for solving fuzzy relation equations with a linear objective function

IEEE Transactions on Fuzzy Systems

Quantified Score

Hi-index	0.01

Visualization

Abstract

We consider nonlinear optimization problems constrained by a system of fuzzy relation equations. The solution set of the fuzzy relation equations being nonconvex, in general, conventional nonlinear programming methods are not practical. Here, we propose a genetic algorithm with max-product composition to obtain a near optimal solution for convex or nonconvex solution set. Test problems are constructed to evaluate the performance of the proposed algorithm showing alternative solutions obtained by our proposed model.