TITLE:
Goal Programming for Solving Fractional Programming Problem in Fuzzy Environment
AUTHORS:
Anil Kumar Nishad, Shiva Raj Singh
KEYWORDS:
Fuzzy Sets, Trapezoidal Fuzzy Number (TFN), Multi-Objective Linear Programming Problem (MOLPP), Multi-Objective Linear Fractional Programming Problem (MOLFPP)
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.14,
December
31,
2015
ABSTRACT: This paper is comprised of the modeling and optimization of a multi objective linear programming problem in fuzzy environment in which some goals are fractional and some are linear. Here, we present a new approach for its solution by using α-cut of fuzzy numbers. In this proposed method, we first define membership function for goals by introducing non-deviational variables for each of objective functions with effective use of α-cut intervals to deal with uncertain parameters being represented by fuzzy numbers. In the optimization process the under deviational variables are minimized for finding a most satisfactory solution. The developed method has also been implemented on a problem for illustration and comparison.