NEUTROSOPHIC LINEAR GOAL PROGRAMMING

Abstract

This paper proposes the framework of neutrosophic linear goal programming (NGP) approach for solving multi objective optimization problems involving uncertainty and indeterminacy. In the proposed approach, the degree of membership (acceptance), indeterminacy and falsity (rejection) of the objectives are simultaneously considered. Three neutrosophic linear goal programming models have been proposed. The drawbacks of the existing neutrosophic optimization models have been addressed and new direction of research in neutrosophic optimization problem has been proposed. The essence of the proposed approach is that it is capable of dealing with indeterminacy and falsity simultaneously.