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Solving a Linear Programming with Fuzzy Constraint and Objective Coefficients

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...

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Bibliographic Details
Published in:International journal of intelligent systems and applications 2016-07, Vol.8 (7), p.65-72
Main Authors: Erfanian, Hamid Reza, Abdi, Mohammad Javad, Kahrizi, Sahar
Format: Article
Language:English
Online Access:Get full text
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Summary: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.
ISSN:2074-904X
2074-9058
DOI:10.5815/ijisa.2016.07.07