the concept of b-efficient solution in fair multiob jective optimization problems

a problem that sometimes occurs in multiobjective optimization is the existence of a large set of fairly effcient solutions. hence, the decision making based on selecting a unique preferred solution is diffcult. considering models with fair b-effciency relieves some of the burden from the decision maker by shrinking the solution set, since the set of fairly b-efficient solutions is contained within the set of fairly effcient solutions for the same problem. in this paper, first some theoretical and practical aspects of fairly b- effcient solutions are discussed. then, some scalarization techniques are developed to generate fairly b-effcient solutions.