Fuzzy Programming for Multiobjective Linear Optimal Control Problems

New optimality conditions for multiobjective fuzzy programming problems

In this paper we study fuzzy multiobjective optimization problems defined for $n$ variables.  Based on a new $p$-dimensional fuzzy stationary-point definition,  necessary  efficiency conditions are obtained.  And we prove that these conditions are also sufficient under new fuzzy generalized convexity notions. Furthermore, the results are obtained under general differentiability hypothesis.

A goal programming approach for fuzzy flexible linear programming problems

 We are concerned with solving Fuzzy Flexible Linear Programming (FFLP) problems. Even though, this model is very practical and is useful for many applications, but there are only a few methods for its situation. In most approaches proposed in the literature, the solution process needs at least, two phases where each phase needs to solve a linear programming problem. Here, we propose a method t...

Solving multiobjective linear programming problems using ball center of polytopes

Here‎, ‎we aim to develop a new algorithm for solving a multiobjective linear programming problem‎. ‎The algorithm is to obtain a solution which approximately meets the decision maker's preferences‎. ‎It is proved that the proposed algorithm always converges to a weak efficient solution and at times converges to an efficient solution‎. ‎Numerical examples and a simulation study are used to illu...

Fuzzy Primal Simplex Algorithms for Solving Fuzzy Linear Programming Problems

A Fuzzy Approach for Hierarchical Multiobjective Linear Programming Problems

In this paper, we focus on hierarchical multiobjective linear programming problems where multiple decision makers in a hierarchical organization have their own multiple objective linear functions together with common linear constraints, and propose a fuzzy approach to obtain a satisfactory solution which reflects not only the hierarchical relationships between multiple decision makers but also ...