A Compensatory Approach to Multiobjective Linear Transportation Problem with Fuzzy Cost Coefficients. (2011)

• Record Type: Journal Article
• Authors: Gonce Kocken, Hale; Ahlatcioglu, Mehmet
• Other Names: Judice J. J. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2011(2011)
• Publication Date: 2011
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2011/103437
• Languages: English
• ISSNs: 1024-123X

Abstract

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'sμ and operator. Our approach generates compromise solutions which are both compensatory and Pareto optimal. A numerical example has been provided to illustrate the problem.