Neutrosophic Goal Geometric Programming Problem based on Geometric Mean Method and its Application

This paper describes neutrosophic goal geometric programming method, a new concept to solve multi-objective non-linear optimization problem under uncertainty. The proposed method is described here as an extension of fuzzy and intuitionistic fuzzy goal geometric programming technique in which the degree of acceptance , degree of indeterminacy and degree of rejection is simultaneously considered. A bridge network complex model is presented here to demonstrate the applicability and efficiency of the proposed method. The method is numerically illustrated and the result shows that the neutrosophic goal geometric programming is very efficient to find the best optimal solution than compare to other existing methods.