An interactive dynamic approach based on hybrid swarm optimization for solving multiobjective programming problem with fuzzy parameters

• Published in: Applied mathematical modelling Vol. 38; no. 7-8; pp. 2000 - 2014
• Main Authors: Abo-Sinna, M.A., Yousria Abo-Elnaga, Y., Mousa, A.A.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2014
• Subjects: Algorithms; Dynamic programming; Fuzzy; Fuzzy logic; Fuzzy set theory; Genetic algorithm; Mathematical models; Multiobjective programming; Nonlinear programming; Optimization; Swarm intelligence; Swarm optimization; Swarm optimization; Dynamic programming; Genetic algorithm; Multiobjective programming
• ISSN: 0307-904X
• DOI: 10.1016/j.apm.2013.10.013

Real engineering design problems are generally characterized by the presence of many often conflicting and incommensurable objectives. Naturally, these objectives involve many parameters whose possible values may be assigned by the experts. The aim of this paper is to introduce a hybrid approach combining three optimization techniques, dynamic programming (DP), genetic algorithms and particle swarm optimization (PSO). Our approach integrates the merits of both DP and artificial optimization techniques and it has two characteristic features. Firstly, the proposed algorithm converts fuzzy multiobjective optimization problem to a sequence of a crisp nonlinear programming problems. Secondly, the proposed algorithm uses H-SOA for solving nonlinear programming problem. In which, any complex problem under certain structure can be solved and there is no need for the existence of some properties rather than traditional methods that need some features of the problem such as differentiability and continuity. Finally, with different degree of α we get different α-Pareto optimal solution of the problem. A numerical example is given to illustrate the results developed in this paper.