On Fuzzy Random Multi-objective Linear Programming with Application to Multi-item Solid Transportation Problem

摘要

In this paper, a multi-objective linear programming (FR- MOLP) problem with fuzzy random objective functions coefficients and fuzzy random constraints parameters is studied. At the first, the results show that a fuzzy random efficient solution of a fuzzy random multi-objective linear programming may be resolved into a series of pseudorandom optimal solutions of relative random linear programming problems. Secondly, some theorems with proofs to find the optimal solutions of the relative linear programming problems are presented. Also, an application fuzzy multi-objective multi-item solid transportation problem is discussed and an acceptable solution of such problem is given. Finally, numerical examples are given in the sake of the paper to clarify the obtained results.