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International Journal of Intelligent Systems and Applications(IJISA)

ISSN: 2074-904X (Print), ISSN: 2074-9058 (Online)

Published By: MECS Press

IJISA Vol.8, No.7, Jul. 2016

Solving a Linear Programming with Fuzzy Constraint and Objective Coefficients

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Author(s)

Hamid Reza Erfanian, Mohammad Javad Abdi, Sahar Kahrizi

Index Terms

Fuzzy Linear Programming;Fuzzy Numbers;Pareto Algorithm;Multi-Objective Linear Programming

Abstract

In this paper, we consider a method for solving a linear programming problem with fuzzy objective and coefficient matrix, where the fuzzy numbers are supposed to be triangular. By the proposed method, the Decision Maker will have the flexibility of choosing. The solving method is based on the Pareto algorithm, which converts the problem to a weighted-objective linear programming. For more illustration, after discussing the problem and the algorithm, we present an example, which its solutions are independent from the objective weights.

Cite This Paper

Hamid Reza Erfanian, Mohammad Javad Abdi, Sahar Kahrizi,"Solving a Linear Programming with Fuzzy Constraint and Objective Coefficients", International Journal of Intelligent Systems and Applications(IJISA), Vol.8, No.7, pp.65-72, 2016. DOI: 10.5815/ijisa.2016.07.07

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