Solving a Fully Fuzzy Multiobjective Programming Problem using its Equivalent Weighted Goal Programming Problem
نویسندگان
چکیده
This paper introduces a computational method of solving fully fuzzy multi objective linear programming problem through goal programming approach. Here we deal the imprecise parameters as fuzzy numbers with assumption that these fuzzy numbers have some possibility distribution associated with fuzzy variables. In the study, we extend the concept of conflict and non-conflict between objective functions to fuzzy objective functions to compute the expected priority structure and expected aspiration level for various goals. Further, in view of some risk taken by decision maker,
منابع مشابه
FUZZY GOAL PROGRAMMING TECHNIQUE TO SOLVE MULTIOBJECTIVE TRANSPORTATION PROBLEMS WITH SOME NON-LINEAR MEMBERSHIP FUNCTIONS
The linear multiobjective transportation problem is a special type of vector minimum problem in which constraints are all equality type and the objectives are conicting in nature. This paper presents an application of fuzzy goal programming to the linear multiobjective transportation problem. In this paper, we use a special type of nonlinear (hyperbolic and exponential) membership functions to ...
متن کاملFully Fuzzy Transportation Problem
Transportation problem is a linear programming which considers minimum cost for shipping a product from some origins to other destinations such as from factories to warehouse, or from a warehouse to supermarkets. To solve this problem simplex algorithmis utilized. In real projects costs and the value of supply and demands are fuzzy numbers and it is expected that optimal solutions for determini...
متن کاملMultiobjective security game with fuzzy payoffs
A multiobjective security game problem with fuzzy payoffs is studied in this paper. The problem is formulated as a bilevel programming problem with fuzzy coefficients. Using the idea of nearest interval approximation of fuzzy numbers, the problem is transformed into a bilevel programming problem with interval coefficients. The Karush-Kuhn-Tucker conditions is applied then to reduce the problem ...
متن کاملSolving fully fuzzy Linear Programming Problem using Breaking Points
Abstract In this paper we have investigated a fuzzy linear programming problem with fuzzy quantities which are LR triangular fuzzy numbers. The given linear programming problem is rearranged according to the satisfactory level of constraints using breaking point method. By considering the constraints, the arranged problem has been investigated for all optimal solutions connected with satisf...
متن کاملFractional CCP: A Fuzzy Goal Programming Approach
Abstract It is the purpose of this article to introduce a linear approximation technique for solving a fractional chance constrained programming (CC) problem. For this purpose, a fuzzy goal programming model of the equivalent deterministic form of the fractional chance constrained programming is provided and then the process of defuzzification and linearization of the problem is started. A sam...
متن کامل