Duality in fuzzy multi objective linear programming problem with multi constraint

In this paper, a pair of primal and dual problems is introduced for multi objective linear programming problems under a fuzzy environment. Duality takes central place in linear programming. The study of duality in a multi objective fuzzy programming are few. In the present study, we have generalised the duality results in a fuzzy multi objective linear programming problem. Linear and exponential membership functions have been used to deal with fuzzy objective and constraints. Few duality results have been developed for the above problems to prove the duality relationship between them. The problem is illustrated by an example.