Fuzzy Approach to Solve a Global Mixed Integer Multi-Objective FractionalL Signomial Geometric Programming Problem

This study proposes a method for solving mixed integer multi-objective fractional signomial geometric programming (mimofsgp) problems.in this paper we rstly convert a multi-objective fractional signomial programming into a non-fractional problem by a new convenient reformulation strategy. then the fuzzy programming technique is applied to find the optimal compromise solution and a convex relaxation is used to reach a global solution. a mixed integer compromise optimal solution of the convex programming problem can finally be found by use of nonlinear branch and bound algorithm. then on using the spacial branch and bound algorithm, we obtain a solution that has the shortest distance from the solution of the original problem. finally two examples are included to demonstrate the correctness and eciency of the proposed approach.