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Some Rationality Conditions of Joint Efficient Mapping in Group Multi-Objective Programming

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Abstract

The joint efficient ordering method is a fundamental method of ordering alternatives in group multi-objective programming problems. In this paper, the rational properties of the joint efficient mapping corresponding to the joint efficient ordering method are studied, and some necessary conditions of this mapping are proven.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, China

    Jing Li

  2. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200030, China

    Yuda Hu

Authors
  1. Jing Li
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  2. Yuda Hu
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Correspondence to Jing Li.

Additional information

The research is supported by National Natural Science Foundation of China under Grant No. 70071026; Science Foundation of Wenzhou University and Science Foundation of School of Mathematics and Information Science, Wenzhou University; and Zhejiang Province Education Department Scientific Research Item.

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Li, J., Hu, Y. Some Rationality Conditions of Joint Efficient Mapping in Group Multi-Objective Programming. Jrl Syst Sci & Complex 20, 585–591 (2007). https://doi.org/10.1007/s11424-007-9056-8

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  • DOI: https://doi.org/10.1007/s11424-007-9056-8

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