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Mathematical Problems in Engineering
Volume 2014, Article ID 697085, 8 pages
Research Article

Mehar Methods for Fuzzy Optimal Solution and Sensitivity Analysis of Fuzzy Linear Programming with Symmetric Trapezoidal Fuzzy Numbers

1School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab 147004, India
2Department of Supply Chain Management, University of Manitoba, Winnipeg, MB, Canada R3T 2N2

Received 3 December 2013; Revised 11 February 2014; Accepted 19 March 2014; Published 22 April 2014

Academic Editor: Jun Jiang

Copyright © 2014 Sukhpreet Kaur Sidhu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The drawbacks of the existing methods to obtain the fuzzy optimal solution of such linear programming problems, in which coefficients of the constraints are represented by real numbers and all the other parameters as well as variables are represented by symmetric trapezoidal fuzzy numbers, are pointed out, and to resolve these drawbacks, a new method (named as Mehar method) is proposed for the same linear programming problems. Also, with the help of proposed Mehar method, a new method, much easy as compared to the existing methods, is proposed to deal with the sensitivity analysis of the same type of linear programming problems.