Pareto Solution in Neutrosophic Set Setting for Multiple Criteria Decision Making Problems

Abstract

The multiple criteria group decision making problem with neutrosophic linguistic preference relations are investigated. First, the concept of Collective Solution (CS)—a generalization of an aggregation operator in the decision making problem is defined and is used to evaluate and rank the candidate solution sets for multiple criteria group decision making models under linguistic assessments. Then, Neutrosophic Pareto Solution—a generalization of the Pareto Solution notation in the Optimization Theory—is presented for the problems with linguistic preference relations. Next, we consider linguistic neutrosophic preference relations and define the concept of Neutrosophic Pareto Solution with some aggregation procedures of linguistic neutrosophic preference relations to solving the problem. Finally, a computational example is presented to illustrate the computing procedures.