Prioritization of hesitant multiplicative preference relations based on data envelopment analysis for group decision making

Original Article
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Abstract

Hesitant multiplicative preference relations (HMPRs) are utilized to describe situations where a decision maker gives several possible values by Saaty’s 1-9 scale in pairwise comparison. For further applications of HMPRs, this paper develops two priority methods based on data envelopment analysis (DEA) for group decision making. These methods include self-weight prioritization and the cross-weight prioritization, which are similar to the self-evaluation efficiency and the cross-evaluation efficiency in DEA theory, respectively. We prove that both of them can generate true priority weights for consistent HMPRs. The mechanisms of these proposed methods are illustrated with numerical examples. Also, comparisons with other methods are performed to show the advantages of the proposed methods.

Keywords

Hesitant fuzzy set Hesitant multiplicative preference relation Data envelopment analysis Self-weight priority Cross-weight priority Group decision making 

Notes

Acknowledgements

The authors thank Prof. Shengqun Chen for his helpful discussions and comments and also thank the anonymous referees and the editor for their insightful suggestions which lead to the present version of this paper. The work was partly supported by the National Natural Science Foundation of China (Grant No. 71371053), the Humanities and Social Sciences Foundation of Ministry of Education of China (Grant No. 16YJC630008), the Fujian Provincial Young Teacher Educational Research Foundation (Grant No. JAS160132) and the Teaching Reform Foundation of Fujian Normal University of China (Grant No. I201603023).

Compliance with ethical standards

Conflict of interest

The authors declare that they have no financial and personal relationships with other people or organizations that can inappropriately influence their work, and there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled, “Prioritization of hesitant multiplicative preference relations based on data envelopment analysis for group decision making.”

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Copyright information

© The Natural Computing Applications Forum 2017

Authors and Affiliations

  1. 1.Decision Sciences InstituteFuzhou UniversityFuzhouChina
  2. 2.School of EconomicsFujian Normal UniversityFuzhouChina

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