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Exploiting the priority weights from interval linguistic fuzzy preference relations

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Abstract

Interval linguistic fuzzy preference relations (ILFPRs) are powerful tools to denote the decision makers’ uncertain qualitative preferences. To avoid the inconsistent ranking results, consistency analysis is very critical. This paper introduces a new additive consistency concept for ILFPRs, which satisfies all properties of the additive consistency concept for fuzzy preference relations. Then, a model to judging the additive consistency of ILFPRs is constructed. When ILFPRs are inconsistent, an approach to deriving additive consistent ILFPRs is presented. Considering the incomplete case, goal programming models to determining the missing values are established. Subsequently, a distance measure-based group consensus index is given to measuring the consensus of individual ILFPRs. Furthermore, a new method for group decision making with ILFPRs is developed, which is based on the additive consistency and consensus analysis. Finally, two numerical examples are offered to show the application of the developed procedure, and a comparison analysis is performed.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Nos. 71571192, 71571123, 71671188, and 71501189), the National Social Science Foundation of China (No. 16BJY119), the Innovation-Driven Planning Foundation of Central South University (No. 2016CXS027), the State Key Program of National Natural Science of China (No. 71431006), the Projects of Major International Cooperation NSFC (No. 71210003), the Hunan Province Foundation for Distinguished Young Scholars of China (No. 2016JJ1024), and the China Postdoctoral Science Foundation (No. 2016M602170).

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Authors and Affiliations

  1. School of International Audit, Nanjing Audit University, Nanjing, 211815, China

    Fanyong Meng

  2. Business School, Sichuan University, Chengdu, 610064, China

    Zeshui Xu

  3. School of Business, Central South University, Changsha, 410083, China

    Fanyong Meng & Jie Tang

  4. School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Zeshui Xu

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  1. Fanyong Meng
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  2. Jie Tang
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  3. Zeshui Xu
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Correspondence to Zeshui Xu.

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This article does not contain any studies with human participants or animals performed by any of the authors.

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Communicated by V. Loia.

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Meng, F., Tang, J. & Xu, Z. Exploiting the priority weights from interval linguistic fuzzy preference relations. Soft Comput 23, 583–597 (2019). https://doi.org/10.1007/s00500-017-2878-y

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