Balanced fuzzy particle swarm optimization

In the present study an extension of particle swarm optimization (PSO) algorithm which is in conformity with actual nature is introduced for solving combinatorial optimization problems. Development of this algorithm is essentially based on balanced fuzzy sets theory. The classical fuzzy sets theory...

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Bibliographic Details
Published in:	Applied mathematical modelling Vol. 36; no. 5; pp. 2169 - 2177
Main Authors:	Robati, Amir, Barani, Gholam Abbas, Nezam Abadi Pour, Hossein, Fadaee, Mohammad Javad, Rahimi Pour Anaraki, Javad
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01-05-2012
Subjects:	Algorithms Balanced fuzzy Balancing Combinatorial analysis Discrete optimization Fuzzy Fuzzy logic Fuzzy set theory Mathematical models Membership function Optimization Particle swarm optimization Discrete optimization Membership function Balanced fuzzy Particle swarm optimization
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Summary:	In the present study an extension of particle swarm optimization (PSO) algorithm which is in conformity with actual nature is introduced for solving combinatorial optimization problems. Development of this algorithm is essentially based on balanced fuzzy sets theory. The classical fuzzy sets theory cannot distinguish differences between positive and negative information of membership functions, while in the new method both kinds of information “positive and negative” about membership function are equally important. The balanced fuzzy particle swarm optimization algorithm is used for fundamental optimization problem entitled traveling salesman problem (TSP). For convergence inspecting of new algorithm, method was used for TSP problems. Convergence curves were represented fast convergence in restricted and low iterations for balanced fuzzy particle swarm optimization algorithm (BF-PSO) comparison with fuzzy particle swarm optimization algorithm (F-PSO).
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0307-904X
DOI:	10.1016/j.apm.2011.08.006