International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Amit Kumar and Neha Bhatia1 

School of Mathematics and Computer Applications Thapar University, Patiala-147004, India

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ABSTRACT

Kheirfam and Hasani (Sensitivity analysis for fuzzy linear programming problems with fuzzy variables, Advanced Modeling and Optimization, 12 (2010) 257-272), proposed a new method to deal with the sensitivity analysis of such fuzzy linear programming (FLP) problems in which all the elements of coefficient matrix of the constraints and the coefficients of the decision variables in the objective function are represented by real numbers and remaining parameters are represented by trapezoidal fuzzy numbers. In this paper, it is shown that the existing method can’t be used for solving sensitivity analysis of such FLP problems in which only the elements coefficient matrix of constraints are represented by real numbers and other parameters are represented by trapezoidal fuzzy numbers. To overcome this limitation of existing method, a new method, named as Mehar’s method, is proposed to deal with the sensitivity analysis of FLP problems. The main advantage of Mehar’s method over existing method is that Mehar’s method is easy to apply as compare to existing method and can be used to deal with the sensitivity analysis of both type of fuzzy sensitivity analysis problem. To show the advantages of the Mehar’s method over existing method some fuzzy sensitivity analysis problems, which may or may not be solved by using existing methods, are solved by using Mehar’s method.


Keywords: fuzzy linear programming problems; ranking function; sensitivity analysis; trapezoidal fuzzy numbers.


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ARTICLE INFORMATION



Accepted: 2011-03-03
Available Online: 2011-06-01


Cite this article:

Kumar, A., Bhatia, N. 2011. A new method for solving fuzzy sensitivity analysis problems. International Journal of Applied Science and Engineering, 9, 49–64. https://doi.org/10.6703/IJASE.2011.9(2).49

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