GENERALIZED RATIONNAL EFFICIENCY IN MULTIOBJECTIVE PROGRAMMING

offer a limited number of representative solutions to the decision maker.A problem that sometimes occurs in multiobjective optimization is the existence of a large set of Pareto-optimal solutions. Hence the decision making based on selecting a unique preferred solution becomes difficult. Considering models with rational B-efficiency relieves some of the burden from the decision maker by shrinking the solution set. This paper focuses on solving multiobjective optimization problems by introducing the concept of rational B-efficiency. In this paper, first some theoretical and practical aspects of rationally B-efficient solutions are discussed. Then an algorithm to generate a subset of Pareto-optimal solutions is presented which aims offer a limited number of representative solutions to the decision maker.