A Relationship of Conflicting Belief Masses to Open World Assumption

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• 关键词：Belief functions ; Dempster ; shafer theory ; Uncertainty ; Conflicting belief masses ; Internal conflict ; Conflict between belief functions ; Open world assumption ; Transferable Belief Model (TBM)
• 刊名：Lecture Notes in Computer Science
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：9861
• 期：1
• 页码：146-155
• 全文大小：199 KB
• 参考文献：1.Almond, R.G.: Graphical Belief Modeling. Chapman & Hall, London (1995)CrossRef
  2.Ayoun, A., Smets, P.: Data association in multi-target detection using the transferable belief model. Int. J. Intell. Syst. 16(10), 1167–1182 (2001)CrossRef MATH
  3.Burger, T.: Geometric views on conflicting mass functions: from distances to angles. Int. J. Approx. Reason. 70, 36–50 (2016)MathSciNet CrossRef MATH
  4.Cobb, B.R., Shenoy, P.P.: On the plausibility transformation method for translating belief function models to probability models. Int. J. Approx. Reason. 41(3), 314–330 (2006)MathSciNet CrossRef MATH
  5.Daniel, M.: Probabilistic transformations of belief functions. In: Godo, L. (ed.) ECSQARU 2005. LNCS (LNAI), vol. 3571, pp. 539–551. Springer, Heidelberg (2005)CrossRef
  6.Daniel, M.: Conflicts within and between belief functions. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds.) IPMU 2010. LNCS, vol. 6178, pp. 696–705. Springer, Heidelberg (2010)CrossRef
  7.Daniel, M.: Non-conflicting and conflicting parts of belief functions. In: Proceedings of the 7th ISIPTA, ISIPTA 2011, pp. 149–158. Studia Universitätsverlag, Innsbruck (2011)
  8.Daniel, M.: Properties of plausibility conflict of belief functions. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2013, Part I. LNCS, vol. 7894, pp. 235–246. Springer, Heidelberg (2013)CrossRef
  9.Daniel, M.: Conflict between belief functions: a new measure based on their non-conflicting parts. In: Cuzzolin, F. (ed.) BELIEF 2014. LNCS, vol. 8764, pp. 321–330. Springer, Heidelberg (2014)
  10.Daniel, M., Ma, J.: Conflicts of belief functions: continuity and frame resizement. In: Straccia, U., Calì, A. (eds.) SUM 2014. LNCS, vol. 8720, pp. 106–119. Springer, Heidelberg (2014)
  11.Destercke, S., Burger, T.: Toward an axiomatic definition of conflict between belief functions. IEEE Trans. Cybern. 43(2), 585–596 (2013)CrossRef
  12.Lefèvre, E., Elouedi, Z.: How to preserve the conflict as an alarm in the combination of belief functions? Decis. Support Syst. 56(1), 326–333 (2013)CrossRef
  13.Liu, W.: Analysing the degree of conflict among belief functions. Artif. Intell. 170, 909–924 (2006)CrossRef MATH
  14.Martin, A.: About conflict in the theory of belief functions. In: Denœux, T., Masson, M.H. (eds.) Belief Functions: Theory and Applications. AISC, vol. 164, pp. 161–168. Springer, Heidelberg (2012)CrossRef
  15.Schubert, J.: The internal conflict of a belief function. In: Denœux, T., Masson, M.H. (eds.) Belief Functions: Theory and Applications. AISC, vol. 164, pp. 169–176. Springer, Heidelberg (2012)CrossRef
  16.Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)MATH
  17.Smets, P.: Belief functions. In: Smets, P., et al. (eds.) Non-standard Logics for Automated Reasoning, chap. 9, pp. 253–286. Academic Press, London (1988)
  18.Smets, P., Kennes, R.: The transferable belief model. Artif. Intell. 66, 191–234 (1994)MathSciNet CrossRef MATH
  19.Smets, P.: Decision making in the TBM: the necessity of the pignistic transformation. Int. J. Approx. Reason. 38(2), 133–147 (2005)MathSciNet CrossRef MATH
  20.Smets, P.: Analyzing the combination of conflicting belief functions. Inf. Fusion 8, 387–412 (2007)CrossRef
  
• 作者单位：Milan Daniel (15)
  
  15. Prague, Czech Republic
  
• 丛书名：Belief Functions: Theory and Applications
• ISBN：978-3-319-45559-4
• 刊物类别：Computer Science
• 刊物主题：Artificial Intelligence and Robotics
  Computer Communication Networks
  Software Engineering
  Data Encryption
  Database Management
  Computation by Abstract Devices
  Algorithm Analysis and Problem Complexity
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1611-3349
• 卷排序：9861

文摘

When combining belief functions by conjunctive rules of combination, conflicting belief masses often appear, which are assigned to empty set by the non-normalized conjunctive rule or normalized by Dempster’s rule of combination in Dempster-Shafer theory.