A hybrid method for solving fuzzy semi-infinite linear programming problems

Article type: Research Article

Authors: Fakharzadeh J., Alireza | Khosravi, Somayeh

Affiliations: Department of Mathematics, Faculty of Basis Science, Shiraz University of Technology, Shiraz, Iran

Note: [] Corresponding author. Alireza Fakharzadeh J., Department of Mathematics, Faculty of Basis Science, Shiraz University of Technology, P. O. Box 71555-313, Shiraz, Iran. E-mails: a_fakharzadeh@sutech.ac.ir (Alireza Fakharzadeh J.); s.khosravi@sutech.ac.ir (Somayeh Khosravi).

Abstract: Abilities of fuzzy models in more adaptations with the real world phenomena causes that in this paper, we remodel semi-infinite linear programming problems as fuzzy problems which contained the crisp objective function and the infinite number of fuzzy constraints. Then, we introduce a new hybrid solution method for these fuzzy semi-infinite linear programming problems. This solution technique is a kind of cutting plane algorithm in which its sub-problems were solved by using the Zimmermann-method. Convergence of the presented algorithm is proved, and some numerical test examples are given and also the obtained results are compared.

Keywords: Cutting-plane, semi-infinite linear programming, fuzzy linear programming, membership function

DOI: 10.3233/IFS-141369

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 2, pp. 879-884, 2015