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Consistency Measures for Conflict Profiles

  • Conference paper
Transactions on Rough Sets I

Part of the book series: Lecture Notes in Computer Science ((TRS,volume 3100))

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Abstract

The formal definition of conflict was formulated and analyzed by Pawlak. In Pawlak’s works the author presented the concept and structure of conflicts. In this concept a conflict may be represented by an information system (U,A), where U is a set of agents taking part in conflict and A is a set of attributes representing conflict issues. On the basis of the information system Pawlak defined also various measures describing conflicts, for example the measure of military potential of the conflict sites. Next the concept has been developed by other authors. In their works the authors defined a multi-valued structure of conflict and proposed using consensus methods to their solving. In this paper the authors present the definition of consistency functions which should enable to measure the degree of consistency of conflict profiles. A conflict profile is defined as a set of opinions of agents referring to the subject of the conflict. Using this degree one could make choice of the method for solving the conflict, for example, a negotiation method or a consensus method. A set of postulates for consistency functions are defined and analyzed. Besides, some concrete consistency functions are formulated and their properties referring to postulates are included.

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References

  1. Barthelemy, J.P., Janowitz, M.F.: A Formal Theory of Consensus. SIAM J. Discrete Math. 4, 305–322 (1991)

    Article  MATH  MathSciNet  Google Scholar 

  2. Danilowicz, C., Nguyen, N.T., Jankowski, Ł.: Methods for selection of representation of agent knowledge states in multi-agent systems. Wroclaw University of Technology Press (2002) (in Polish)

    Google Scholar 

  3. Day, W.H.E.: Consensus Methods as Tools for Data Analysis. In: Bock, H.H. (ed.) Classification and Related Methods for Data Analysis, pp. 312–324. North-Holland, Amsterdam (1988)

    Google Scholar 

  4. Deja, R.: Using Rough Set Theory in Conflicts Analysis, Ph.D. Thesis (Advisor: A. Skowron), Institute of Computer Science, Polish Academy of Sciences, Warsaw (2000)

    Google Scholar 

  5. Eick, C.F., Werstein, P.: Rule-Based Consistency Enforcement for Knowledge-Based Systems. IEEE Transactions on Knowledge and Data Engineering 5, 52–64 (1993)

    Article  Google Scholar 

  6. Helpern, J.Y., Moses, Y.: Knowledge and common knowledge in distributed environment. Journal of the Association for Computing Machinery 37, 549–587 (2001)

    Google Scholar 

  7. Lipski, W., Marek, W.: Combinatorial Analysis. WNT Warsaw (1986)

    Google Scholar 

  8. Loyer, Y., Spyratos, N., Stamate, D.: Integration of Information in Four-Valued Logics under Non-Uniform Assumption. In: Proceedings of 30th IEEE International Symposium on Multiple-Valued Logic, pp. 180–193 (2000)

    Google Scholar 

  9. Malowiecki, M., Nguyen, N.T.: Consistency Measures of Agent Knowledge in Multiagent Systems. In: Proceedings of 8th National Conference on Knowledge Engineering and Expert Systems, vol. 2, pp. 245–252. Wroclaw Univ. of Tech. Press (2003)

    Google Scholar 

  10. Neiger, G.: Simplifying the Design of Knowledge-based Algorithms Using Knowledge Consistency. Information & Computation 119, 283–293 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  11. Neiger, G.: Knowledge Consistency: A Useful Suspension of Disbelief. In: Proceedings of the Second Conference on Theoretical Aspects of Reasoning about Knowledge, pp. 295–308. Morgan Kaufmann, Los Altos (1988)

    Google Scholar 

  12. Ng, K.C., Abramson, B.: Uncertainty Management in Expert Systems. IEEE Expert: Intelligent Systems and Their Applications, 29–48 (1990)

    Google Scholar 

  13. Nguyen, N.T.: Using Distance Functions to Solve Representation Choice Problems. Fundamenta Informaticae 48(4), 295–314 (2001)

    MathSciNet  Google Scholar 

  14. Nguyen, N.T.: Consensus Choice Methods and their Application to Solving Conflicts in Distributed Systems. Wroclaw University of Technology Press (2002) (in Polish)

    Google Scholar 

  15. Nguyen, N.T.: Consensus System for Solving Conflicts in Distributed Systems. Journal of Information Sciences 147, 91–122 (2002)

    Article  MATH  Google Scholar 

  16. Nguyen, N.T., Sobecki, J.: Consensus versus Conflict – Methodology and Applications. In: Wang, G., Liu, Q., Yao, Y., Skowron, A. (eds.) RSFDGrC 2003. LNCS (LNAI), vol. 2639, pp. 565–572. Springer, Heidelberg (2003)

    Google Scholar 

  17. Nguyen, N.T.: Susceptibility to Consensus of Conflict Profiles in Consensus Systems. Bulletin of International Rough Sets Society 5(1/2), 217–224 (2001)

    Google Scholar 

  18. Pawlak, Z.: On Conflicts. Int. J. Man-Machine Studies 21, 127–134 (1984)

    Article  MATH  Google Scholar 

  19. Pawlak, Z.: Anatomy of Conflicts. Bull. EATCS 50, 234–246 (1993)

    MATH  Google Scholar 

  20. Pawlak, Z.: An Inquiry into Anatomy of Conflicts. Journal of Information Sciences 109, 65–78 (1998)

    Article  MathSciNet  Google Scholar 

  21. Skowron, A., Deja, R.: On Some Conflict Models and Conflict Resolution. Romanian Journal of Information Science and Technology 5(1-2), 69–82 (2002)

    Google Scholar 

  22. Skowron, A., Rauszer, C.: The Discernibility Matrices and Functions in Information Systems. In: Słowi, E. (ed.) Intelligent Decision Support, Handbook of Applications and Advances of the Rough Sets Theory, pp. 331–362. Kluwer Academic Publishers, Dordrecht (1992)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Information Systems, Wroclaw University of Technology, Wyb. Wyspianskiego 27, 50-370, Wroclaw, Poland

    Ngoc Thanh Nguyen & Michal Malowiecki

Authors
  1. Ngoc Thanh Nguyen
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  2. Michal Malowiecki
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Manitoba, R3T 5V6, Winnipeg, Manitoba, Canada

    James F. Peters

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron  & Marcin S. Szczuka  & 

  3. Institute of Computer Science, Polish Academy of Sciences, 01–237, Warsaw, Poland

    Jerzy W. Grzymała-Busse

  4. Multimedia Systems Department, Gdańsk University of Technology, Narutowicza 11/12, 80-952, Gdańsk, Poland

    Bożena Kostek

  5. Department of Mathematical and Computer Sciences, San Diego State University, 5500 Campanile Drive, CA 92182, San Diego, USA

    Roman W. Świniarski

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© 2004 Springer-Verlag Berlin Heidelberg

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Nguyen, N.T., Malowiecki, M. (2004). Consistency Measures for Conflict Profiles. In: Peters, J.F., Skowron, A., Grzymała-Busse, J.W., Kostek, B., Świniarski, R.W., Szczuka, M.S. (eds) Transactions on Rough Sets I. Lecture Notes in Computer Science, vol 3100. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27794-1_8

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  • DOI: https://doi.org/10.1007/978-3-540-27794-1_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22374-0

  • Online ISBN: 978-3-540-27794-1

  • eBook Packages: Springer Book Archive

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