The concept of B-efficient solution in fair multiobjective optimization problems

Document Type : Research Article


1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

2 Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.


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.


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