The normalization of the Dempster's rule of combination

  • Authors:
  • Pavel Sevastjanov;Pavel Bartosiewicz;Kamil Tkacz

  • Affiliations:
  • Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland;Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland;Institute of Comp. & Information Sci., Czestochowa University of Technology, Czestochowa, Poland

  • Venue:
  • ICAISC'10 Proceedings of the 10th international conference on Artifical intelligence and soft computing: Part II
  • Year:
  • 2010

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Abstract

A new method for normalization and combination of intervalvalued belief structures within the framework of Dempster-Shafer theory of evidence based on the so-called "interval extended zero" method is proposed. The two desirable intuitively obvious properties of normalization procedure are defined. The main of them is based on the assumption that the sum of normalized intervals should be an interval centered around 1 with a minimal width. The advantages of a new method are illustrated with use of numerical examples. It is shown that a new method performs better than known methods for combination of interval-valued belief structures as it provides the results with the properties which are close to the desirable ones.