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New Models of Three-Way Conflict Analysis Based on Decision-Theoretic Rough Sets

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Rough Sets (IJCRS 2024)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 14840))

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Abstract

Conflict is widespread in society, and trisecting an agent set is a crucial research direction in three-way conflict analysis. In practice, the varying risk preferences among decision-makers lead to diverse trisections of an agent set in similar circumstances. In this paper, we consider decision-makers’ risk preferences and propose novel models of three-way conflict. Initially, we divide a set of issues into two disjoint subsets and utilize information entropy to compute issues’ weights. Then, we design alliance measures regarding an individual issue through the transition probability function. Based on the issues’ weights and alliance measures, we propose alliance probabilities between two agents. Additionally, we present risk-preferred, risk-averse, and risk-neutral decisions with the relative utility function. Finally, we design an algorithm to derive rules for three-way conflict analysis and demonstrate how to utilize the proposed model for decision-making through an example.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (No. 62076040), 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 Postgraduate Scientific Research Innovation Project of Changsha University of Science and Technology (No. CSLGCX23106).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 410114, Hunan, People’s Republic of China

    Ping Liu, Qimei Xiao, Huiying Yu & Guangming Lang

Authors
  1. Ping Liu
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  2. Qimei Xiao
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  3. Huiying Yu
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  4. Guangming Lang
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Corresponding author

Correspondence to Guangming Lang .

Editor information

Editors and Affiliations

  1. Saint Mary's University, halifax, NS, Canada

    Mengjun Hu

  2. Ghent University, Ghent, Belgium

    Chris Cornelis

  3. California State University, San Bernardino, CA, USA

    Yan Zhang

  4. Saint Mary's University, Halifax, NS, Canada

    Pawan Lingras

  5. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  6. University of Regina, Regina, SK, Canada

    JingTao Yao

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Liu, P., Xiao, Q., Yu, H., Lang, G. (2024). New Models of Three-Way Conflict Analysis Based on Decision-Theoretic Rough Sets. In: Hu, M., Cornelis, C., Zhang, Y., Lingras, P., Ślęzak, D., Yao, J. (eds) Rough Sets. IJCRS 2024. Lecture Notes in Computer Science(), vol 14840. Springer, Cham. https://doi.org/10.1007/978-3-031-65668-2_13

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  • DOI: https://doi.org/10.1007/978-3-031-65668-2_13

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  • Online ISBN: 978-3-031-65668-2

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