Generalization of the concept of equitable efficiency in multiobjective optimization problems

Document Type : Original Paper

Authors

Department of Mathematics, Vali Asr University of Rafsanjan, Rafsanjan, Iran

Abstract

The main purpose of the paper is to generalize the concept of equitable efficiency‎ ‎by introducing the concept of equitable A-efficiency‎, ‎where A is an arbitrary matrix with non-negative‎ ‎entries‎. ‎Two conditions are provided to ensure that the relation of equitable A-dominance is an equitable rational preference relation‎. ‎Furthermore the structure of equitably A-efficient set is investigated and is proved that the set of equitably A-efficient solutions is contained within the set of efficient‎. ‎Hence to reduce Pareto-optimal solutions‎, ‎we can use equitably A-efficient solutions‎.

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References

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Journal of Advanced Mathematical Modeling
Volume 9, Issue 2
September 2019
Pages 171-190

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History

  • Receive Date: 02 August 2018
  • Revise Date: 19 June 2019
  • Accept Date: 27 June 2019

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