Abstract
In practice, there are many problems in which all decision parameters are fuzzy numbers, and such problems are usually solved by either probabilistic programming or multi-objective programming methods. In this paper, using the concept of fuzzy numbers comparison, we introduce a very effective method for solving these problems. Then we propose a new method for solving linear programming problems with fuzzy variables. This paper extends linear programming based problem into a fuzzy environment. With the problem assumptions, the optimal solution can still be theoretically solved using the simplex based method. To handle fuzzy decision variables can be generated initially, then solved and improved sequentially using the fuzzy decision approach by introducing a robust ranking technique. The proposed procedure was programmed. The model is illustrated with a numerical example and a sensitivity analysis is of the optimal solution is studied with respect changes in parameter which incorporates all concepts of a fuzzy arithmetic approach to draw managerial insights.
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