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

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 7، شماره 1 - شماره پیاپی 11، تیر 2017، صفحه 47-64   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v7i1.43960

نویسندگان

D. Foroutannia^{* 1}؛ A. Mahmodinejad²

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

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

چکیده

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.

کلیدواژه‌ها

Fair optimization؛ Nondominated؛ Equitabilit y؛ B-effciency؛ Scalarization

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