Optimization Letters

, Volume 6, Issue 8, pp 1737–1751 | Cite as

Mehar’s method to find exact fuzzy optimal solution of unbalanced fully fuzzy multi-objective transportation problems

Original Paper

Abstract

To the best of our knowledge, till now there is no method described in literature to find exact fuzzy optimal solution of balanced as well as unbalanced fully fuzzy multi-objective transportation problems. In this paper, a new method named as Mehar’s method, is proposed to find the exact fuzzy optimal solution of fully fuzzy multi-objective transportation problems (FFMOTP). The advantages of the Mehar’s method over existing methods are also discussed. To show the advantages of the proposed method over existing methods, some FFMOTP, which cannot be solved by using any of the existing methods, are solved by using the proposed method and the results obtained are discussed. To illustrate the applicability of the Mehar’s method, a real life problem is solved.

Keywords

Multi-objective linear programming Trapezoidal fuzzy number JMD type trapezoidal fuzzy number Fully fuzzy multi-objective transportation problem 

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.School of Mathematics and Computer ApplicationsThapar UniversityPatialaIndia

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