Skip to main content

A Probabilistic Approach to Analyzing Agent Relations in Three-Way Conflict Analysis Based on Bayesian Confirmation

  • Conference paper
  • First Online:
Rough Sets (IJCRS 2022)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 13633))

Included in the following conference series:

  • 666 Accesses

Abstract

Conflict analysis is commonly based on a conflict situation involving agents and their ratings or attitudes toward a set of issues. Analyzing the relationships between agents is one of the essential topics in conflict analysis. Alliance, conflict, and neutrality are three typical relations. The majority of existing research adopts an auxiliary function that uses \(+1\), \(-1\), and 0 to denote these three relations concerning a single issue. An auxiliary function is aggregated for a group of issues, which is primarily limited to taking the average in the existing works. Moreover, computing the values of an auxiliary function is also associated with potential semantics issues. This paper proposes a probabilistic approach to analyzing agent relations, which is very different from the current approaches. Bayesian confirmation is adopted to explore how a rating confirms or disconfirms the alliance/conflict relation between two agents. Accordingly, we construct three regions of confirmatory, disconfirmatory, and neutral ratings. Three types of confirmation rules are induced from these regions and used to devise appropriate strategies in maintaining and developing relations with agents.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Ali, A., Ali, M.I., Rehman, N.: New types of dominance based multi-granulation rough sets and their applications in conflict analysis problems. J. Intell. Fuzzy Syst. 35, 3859–3871 (2018)

    Article  Google Scholar 

  2. Bashir, Z., Mahnaz, S., Malik, M.G.A.: Conflict resolution using game theory and rough sets. Int. J. Intell. Syst. 36, 237–259 (2020)

    Article  Google Scholar 

  3. Carnap, R.: Logical Foundations of Probability, 1st edn. University of Chicago Press, Chicago (1950)

    MATH  Google Scholar 

  4. Du, J., Liu, S., Yong, L., Yi, J.: A novel approach to three-way conflict analysis and resolution with pythagorean fuzzy information. Inf. Sci. 584, 65–88 (2022)

    Article  Google Scholar 

  5. Festa, R.: Bayesian confirmation. In: Galavotti, M.C., Pagnini, A. (eds.) Experience, Reality, and Scientific Explanation, WONS, vol. 61, pp. 55–87. Springer, Dordrecht (1999). https://doi.org/10.1007/978-94-015-9191-1_4

    Chapter  Google Scholar 

  6. Fitelson, B.: Studies in Bayesian confirmation theory. Ph.D. thesis, University of Wisconsin (2001). https://fitelson.org/thesis.pdf

  7. Greco, S., Słowiński, R., Szczęch, I.: Measures of rule interestingness in various perspectives of confirmation. Inf. Sci. 346–347, 216–235 (2016)

    Article  MATH  Google Scholar 

  8. Hempel, C.: Studies in the logic of confirmation. Mind 54, 97–121 (1945)

    Article  MathSciNet  MATH  Google Scholar 

  9. Hu, M.: Three-way Bayesian confirmation in classifications. Cogn. Comput. (2021). https://doi.org/10.1007/s12559-021-09924-8

  10. Hu, M., Deng, X., Yao, Y.: An application of Bayesian confirmation theory for three-way decision. In: Mihálydeák, T., et al. (eds.) IJCRS 2019. LNCS (LNAI), vol. 11499, pp. 3–15. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-22815-6_1

    Chapter  Google Scholar 

  11. Jiang, C., Guo, D., Duan, Y., Liu, Y.: Strategy selection under entropy measures in movement-based three-way decision. Int. J. Approximate Reasoning 119, 280–291 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  12. Lang, G.: A general conflict analysis model based on three-way decision. Int. J. Mach. Learn. Cybern. 11(5), 1083–1094 (2020). https://doi.org/10.1007/s13042-020-01100-y

    Article  Google Scholar 

  13. Lang, G., Miao, D., Hamido, F.: Three-way group conflict analysis based on pythagorean fuzzy set theory. IEEE Trans. Fuzzy Syst. 28(3), 447–461 (2020)

    Article  Google Scholar 

  14. Lang, G., Yao, Y.: New measures of alliance and conflict for three-way conflict analysis. Int. J. Approximate Reasoning 132, 49–69 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  15. Li, X., Wang, X., Lang, G., Yi, H.: Conflict analysis based on three-way decision for triangular fuzzy information systems. Int. J. Approximate Reasoning 132, 88–106 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  16. Luo, J., Hu, M., Lang, G., Yang, X., Qin, K.: Three-way conflict analysis based on alliance and conflict functions. Inf. Sci. 594, 322–359 (2022)

    Article  Google Scholar 

  17. Pawlak, Z.: An inquiry into anatomy of conflicts. Inf. Sci. 109, 65–78 (1998)

    Article  MathSciNet  Google Scholar 

  18. Sun, B., Chen, X., Zhang, L., Ma, W.: Three-way decision making approach to conflict analysis and resolution using probabilistic rough set over two universes. Inf. Sci. 507, 809–822 (2020)

    Article  MathSciNet  MATH  Google Scholar 

  19. Tong, S., Sun, B., Chu, X., Zhang, X., Wang, T., Jiang, C.: Trust recommendation mechanism-based consensus model for Pawlak conflict analysis decision making. Int. J. Approximate Reasoning 135, 91–109 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  20. Yao, Y.: Three-way decision and granular computing. Int. J. Approximate Reasoning 103, 107–123 (2018)

    Article  MATH  Google Scholar 

  21. Yao, Y.: Three-way conflict analysis: Reformulations and extensions of the Pawlak model. Knowl.-Based Syst. 180, 26–37 (2019)

    Article  Google Scholar 

  22. Yao, Y.: Tri-level thinking: models of three-way decision. Int. J. Mach. Learn. Cybern. 11, 947–959 (2019)

    Article  Google Scholar 

  23. Yao, Y., Zhou, B.: Two Bayesian approaches to rough sets. Eur. J. Oper. Res. 251, 904–917 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  24. Yi, H., Zhang, H., Li, X., Yang, Y.: Three-way conflict analysis based on hesitant fuzzy information systems. Int. J. Approximate Reasoning 139, 12–27 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  25. Zhang, X., Chen, J.: Three-hierarchical three-way decision models for conflict analysis: a qualitative improvement and a quantitative extension. Inf. Sci. 587, 485–514 (2022)

    Article  Google Scholar 

  26. Zhi, H., Qi, J., Qian, T., Ren, R.: Conflict analysis under one-vote veto based on approximate three-way concept lattice. Inf. Sci. 516, 316–330 (2020)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgement

The authors thank the reviewers for their valuable comments and suggestions. This work is partially supported by the National Natural Science Foundation of China (No. 62076040), Hunan Provincial Natural Science Foundation of China (Nos. 2020JJ3034, 2020JJ4598), Hunan Provincial Key Laboratory of Intelligent Computing and Language Information Processing (No. 2018TP1018), and the Scientific Research Fund of Chongqing Key Laboratory of Computational Intelligence (No. 2020FF04).

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Mengjun Hu or Guangming Lang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Hu, M., Lang, G. (2022). A Probabilistic Approach to Analyzing Agent Relations in Three-Way Conflict Analysis Based on Bayesian Confirmation. In: Yao, J., Fujita, H., Yue, X., Miao, D., Grzymala-Busse, J., Li, F. (eds) Rough Sets. IJCRS 2022. Lecture Notes in Computer Science(), vol 13633. Springer, Cham. https://doi.org/10.1007/978-3-031-21244-4_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-21244-4_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-21243-7

  • Online ISBN: 978-3-031-21244-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics