A METHOD FOR SOLVING LINEAR PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS BASED ON MULTIOBJECTIVE LINEAR PROGRAMMING TECHNIQUE

M. Zangiabadi () and H. R. Maleki ()
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M. Zangiabadi: Faculty of Mathematics and Computer Sciences, Shahid Bahonar University of Kerman, Kerman, Iran
H. R. Maleki: Department of Basic Sciences, Shiraz University of Technology, Shiraz, Iran

Asia-Pacific Journal of Operational Research (APJOR), 2007, vol. 24, issue 04, 557-573

Abstract: In the real-world optimization problems, coefficients of the objective function are not known precisely and can be interpreted as fuzzy numbers. In this paper we define the concepts of optimality for linear programming problems with fuzzy parameters based on those for multiobjective linear programming problems. Then by using the concept of comparison of fuzzy numbers, we transform a linear programming problem with fuzzy parameters to a multiobjective linear programming problem. To this end, we propose several theorems which are used to obtain optimal solutions of linear programming problems with fuzzy parameters. Finally some examples are given for illustrating the proposed method of solving linear programming problem with fuzzy parameters.

Keywords: Linear optimization; fuzzy number; ranking function; multiobjective linear programming (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0217595907001395

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