- Gazi University Journal of Science
- Volume:35 Issue:3
- New Advances on Fuzzy Linear Programming Problem by Semi-Infinite Programming Approach
New Advances on Fuzzy Linear Programming Problem by Semi-Infinite Programming Approach
Authors : Hadi ZAVİEH, Hadi NASSERI, Chefi TRIKI
Pages : 1062-1076
Doi:10.35378/gujs.870702
View : 46 | Download : 12
Publication Date : 2022-09-01
Article Type : Research Paper
Abstract :As we are faced with more uncertainty problems in the real world, it is necessary to provide models that can provide appropriate solutions for dealing with these issues. In this study, we proposed a new approach to solving linear programming problem in the fuzzy environment based on solving a related multi-objective model. This kind of problem can be reduced to a fuzzy linear semi-infinite programming problem. In this way, we present a new mixed Multi-Objective Linear Semi-Infinite Programming insert ignore into journalissuearticles values(MOLSIP); model to solve the main problem, furthermore, as a practical case, we consider a fuzzy Data Envelopment Analysis insert ignore into journalissuearticles values(DEA); model which is a concern to an evaluation of the performance of Decision-Making Units insert ignore into journalissuearticles values(DMUs); in uncertainty environment, The new models show the advantage of our method over the previous ones in terms of certainty. Finally, numerical examples are included to illustrate the suggested solution procedure.Keywords : Fuzzy linear programming, Multi objective linear programming , Linear semi infinite programming, Data envelopment analysis
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