Title | ||
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A genetic algorithm for optimization problems with fuzzy relation constraints using max-product composition |
Abstract | ||
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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. |
Year | DOI | Venue |
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2011 | 10.1016/j.asoc.2009.12.014 | Appl. Soft Comput. |
Keywords | Field | DocType |
conventional nonlinear programming method,genetic algorithm,fuzzy relation equation,fuzzy relation constraint,genetic algorithms,max-product composition,proposed algorithm,nonconvex solution set,near optimal solution,alternative solution,nonlinear optimization problem,nonlinear optimization,fuzzy relation equations,fuzzy relation,optimization problem,nonlinear programming | Mathematical optimization,Nonlinear programming,Meta-optimization,Fuzzy logic,Fuzzy transportation,Regular polygon,Solution set,Optimization problem,Mathematics,Genetic algorithm | Journal |
Volume | Issue | ISSN |
11 | 1 | Applied Soft Computing Journal |
Citations | PageRank | References |
13 | 0.50 | 19 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Reza Hassanzadeh | 1 | 76 | 6.02 |
Esmaile Khorram | 2 | 228 | 21.11 |
Iraj Mahdavi | 3 | 388 | 32.30 |
Nezam Mahdavi-amiri | 4 | 371 | 39.95 |