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Three-Way Conflict Analysis for Three-Valued Situation Tables with Rankings and Reference Tuples

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Rough Sets (IJCRS 2023)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14481))

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Abstract

Nowadays, the researches of conflict analysis are increasing with the development of three-way decisions, and three-way decisions with rankings and reference tuples provides new perspectives for conflict analysis. In this paper, we first divide a whole set of issues into a bundle of supported issues and a bundle of non-supported issues, and a bundle of opposed issues and a bundle of non-opposed issues, respectively, from the perspectives of support and opposition. Accordingly, we give two ranking orders and two reference tuples. Then, we put forward alliance and conflict measures by considering weights of issues, and develop models of three-way conflict analysis with ideas of rankings and reference tuples. Finally, we show how to compute the alliance, neutral and conflict coalitions with the proposed models. It provides an attempt to study conflict problems with thoughts of rankings and reference tuples.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 62076040), Hunan Provincial Natural Science Foundation of China (No. 2020JJ3034), the Scientific Research Fund of Hunan Provincial Education Department (No. 22A0233), the Scientific Research Fund of Chongqing Key Laboratory of Computational Intelligence (No. 2020FF04), the Graduate Research Innovation Project of Hunan Province (No. CX20220952).

Author information

Authors and Affiliations

  1. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 410114, Hunan, China

    Shuting Liu & Guangming Lang

  2. Department of Mathematics and Computing Science, Saint Mary’s University, Halifax, NS, B3H 3C3, Canada

    Mengjun Hu

  3. Department of Computer Science and Technology, Tongji University, Shanghai, 201804, China

    Zhifei Zhang

Authors
  1. Shuting Liu
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  2. Mengjun Hu
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  3. Zhifei Zhang
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  4. Guangming Lang
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Corresponding author

Correspondence to Guangming Lang .

Editor information

Editors and Affiliations

  1. IRCCS Istituto Ortopedico Galeazzi, Milano, Italy

    Andrea Campagner

  2. Ghent University, Ghent, Belgium

    Oliver Urs Lenz

  3. Chongqing University of Posts and Telecommunications, Chongqing, China

    Shuyin Xia

  4. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  5. AGH University of Science and Technology, Kraków, Poland

    Jarosław Wąs

  6. University of Regina, Regina, SK, Canada

    JingTao Yao

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Liu, S., Hu, M., Zhang, Z., Lang, G. (2023). Three-Way Conflict Analysis for Three-Valued Situation Tables with Rankings and Reference Tuples. In: Campagner, A., Urs Lenz, O., Xia, S., Ślęzak, D., Wąs, J., Yao, J. (eds) Rough Sets. IJCRS 2023. Lecture Notes in Computer Science(), vol 14481. Springer, Cham. https://doi.org/10.1007/978-3-031-50959-9_16

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  • DOI: https://doi.org/10.1007/978-3-031-50959-9_16

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-031-50959-9

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