Fuzzy linear programming problem with fuzzy decision variables: A geometrical approach

作     者：Tadesse, Admasu Acharya, M. M. Sahoo, Manoranjan Acharya, Srikumar 

作者机构：KIIT Univ Sch Appl Sci Dept Math Bhubaneswar 751024 Odisha India 

出 版 物：《JOURNAL OF STATISTICS & MANAGEMENT SYSTEMS》 

年 卷 期：2021年第24卷第4期

页      面：853-863页

学科分类：07[理学] 070104[理学-应用数学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 

主　　题：Triangular fuzzy number Fuzzy decision variable Non-linear programming problem 

摘      要：Decision making problems force the decision maker to consider fuzzy decision variables in a fuzzy linear programming problem. Therefore, the proposed fuzzy linear programming problem considers a triangular fuzzy decision variable with triangular fuzzy parameters. A defuzzyfication method based on incenter of a triangle, which is formed by joining the vertices of the triangular fuzzy parameters and fuzzy decision variables. The coordinate of the incenter is obtained by using the concept of geometry. In next step, the incenter is considered as a vector quantity. Using the concept of obtaining the magnitude of a vector, the final mathematical model is formulated. The final mathematical programming problem is a crisp non-linear programming problem. The resultant crisp mathematical programming problem is solved by appropriate mathematical software. A numerical example is presented to illustrate the methodology.