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Linear programming with fuzzy constraints based on nonlinear membership function

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3 Author(s)
Haiquan Qiu ; Math. Dept., Anhui Sci. & Technol. Univ., Fengyang, China ; Yongchao Hou ; Hua Pan

In this article, a new kind of method is proposed for solving linear programming (LP) problem with fuzzy constraints whose membership function are nonlinear. Firstly, a new target set is defined to characterize the optimal solution in fuzzy environment and some advantages of the new definition are presented. Secondly, through study the location of the fuzzy decision under the new target set, the fuzzy decision λ* ≥ 0.5 is pointed out for several common nonlinear membership functions. Finally, an algorithm for solving fuzzy linear programming (FLP) is given, as well as the validity of the new target set is illustrated by numerical examples.

Published in:

Fuzzy Systems and Knowledge Discovery (FSKD), 2011 Eighth International Conference on  (Volume:1 )

Date of Conference:

26-28 July 2011