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 beffciency relieves some of the burden from the decision maker by shrinking the solution set, since the set of fairly befficient 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 beffcient solutions.