Title: A fuzzy neural network for fully fuzzy linear programming problems

Authors: G. Selvaraj; P. Pandian

Addresses: Department of Mathematics, VIT University, Vellore-632014, India ' Department of Mathematics, VIT University, Vellore-632014, India

Abstract: In this paper, a new fuzzy energy function is constructed. Based on the fuzzy energy function, a new fuzzy neural network is developed for solving fully fuzzy linear programming problems. The convergence of the proposed neural network is derived mathematically. Numerical examples are presented to show the efficiency and importance of the fuzzy neural network.

Keywords: fuzzy linear programming; fuzzy energy function; fuzzy neural networks; alpha-cut; fuzzy logic.

DOI: 10.1504/IJMMNO.2016.081873

International Journal of Mathematical Modelling and Numerical Optimisation, 2016 Vol.7 No.3/4, pp.231 - 243

Received: 18 Sep 2015
Accepted: 13 Feb 2016
Published online: 30 Jan 2017 *

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