Open AccessPredicting the optimal solution in fuzzy linear programming problem
Author(s) -
Shadfar Davoodi,
Nurhakimah Ab. Rahman
Publication year - 2021
Publication title -
ķaraġandy universitetìnìn̦ habaršysy. matematika seriâsy
Language(s) - English
Resource type - Journals
eISSN - 2663-5011
pISSN - 2518-7929
DOI - 10.31489/2021m1/25-36
Subject(s) - fuzzy number , fuzzy logic , mathematics , mathematical optimization , defuzzification , fuzzy transportation , fuzzy set operations , fuzzy classification , range (aeronautics) , fuzzy mathematics , variation (astronomy) , linear programming , membership function , value (mathematics) , fuzzy set , computer science , artificial intelligence , statistics , engineering , aerospace engineering , physics , astrophysics
In this paper we try to define a percentage form of LR fuzzy numbers which is a useful form of fuzzy numbers and its’ arithmetics. So, we show how the maximum variation range of optimal value of fuzzy objective function can be predicted by using this form of fuzzy numbers. Since fuzzy problems are generally solved through a complicated manner, the purpose of this study is releasing a kind of prediction for the final solution in the way that the manager can access to an outlook to optimal solution (Z∗) without solving the problem. Finally, optimal value of fuzzy objective function on fuzzy linear programming is predicted when maximum variation range of fuzzy variable have been predetermined.