Indian Journal of Science and Technology
Year: 2015, Volume: 8, Issue: Supplementary 9, Pages: 1-5
Se-Ho Oh1* , Myungho Lee2 and Wooyoung Song2
1 Department of Industrial Engineering, Cheongju University, Korea; [email protected]
2 Department of Electronic Engineering, Cheongju University; Korea
This paper deals with the linear problem under the equality constraints whose right hand side parameters are asymmetric triangular fuzzy numbers. The right hand side values are defuzzified by using the triangular membership functions. Each of these triangular functions is algebraically replaced with two piecewise linear functions. And the desired objective value is also a fuzzy number. The membership function of the objective is assumed to be piecewise linear. Then, according to Zimmermann’s approach, by using these membership functions and the max-min rule, the fuzzy linear problem is transformed into the crisp linear programming problem. Consequently a fuzzy solution is obtained by solving this linear programming problem.
Keywords: Fuzzy Linear Programming, Max-Min Rule, Piecewise Linear, Triangular Membership Function
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