4.5 Article

An efficient recurrent neural network model for solving fuzzy non-linear programming problems

Journal

APPLIED INTELLIGENCE
Volume 46, Issue 2, Pages 308-327

Publisher

SPRINGER
DOI: 10.1007/s10489-016-0837-4

Keywords

Fuzzy non-linear programming problems; Bi-objective problem; Weighting problem; Recurrent neural network; Globally stable in the sense of Lyapunov; Globally convergent

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In this paper, a representation of a recurrent neural network to solve fuzzy non-linear programming (FNLP) problems is given. The motivation of the paper is to design a new effective one-layer structure recurrent neural network model for solving the FNLP. Here, we change a fuzzy non-linear programming problem to a bi-objective problem. Furthermore, the bi-objective problem is reduced to a weighting problem and then the Lagrangian dual and the Karush-Kuhn-Tucker (KKT) optimality conditions are constructed. The simulation results on numerical examples are discussed to demonstrate the performance of our proposed approach.

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