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A Compensatory Approach to Multiobjective Linear Transportation Problem with Fuzzy Cost Coefficients

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  • Hale Gonce Kocken
  • Mehmet Ahlatcioglu

Abstract

This paper deals with the Multiobjective Linear Transportation Problem that has fuzzy cost coefficients. In the solution procedure, many objectives may conflict with each other; therefore decision-making process becomes complicated. And also due to the fuzziness in the costs, this problem has a nonlinear structure. In this paper, fuzziness in the objective functions is handled with a fuzzy programming technique in the sense of multiobjective approach. And then we present a compensatory approach to solve Multiobjective Linear Transportation Problem with fuzzy cost coefficients by using Werner's 𠜇 a n d operator. Our approach generates compromise solutions which are both compensatory and Pareto optimal. A numerical example has been provided to illustrate the problem.

Suggested Citation

  • Hale Gonce Kocken & Mehmet Ahlatcioglu, 2011. "A Compensatory Approach to Multiobjective Linear Transportation Problem with Fuzzy Cost Coefficients," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-19, October.
    • Handle: RePEc:hin:jnlmpe:103437
    DOI: 10.1155/2011/103437
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