Introduction to the ER Rule for Evidence Combination

  • Jian-Bo Yang
  • Dong-Ling Xu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7027)

Abstract

The Evidential Reasoning (ER) approach has been developed to support multiple criteria decision making (MCDM) under uncertainty. It is built upon Dempster’s rule for evidence combination and uses belief functions for dealing with probabilistic uncertainty and ignorance. In this introductory paper, following a brief introduction to Dempster’s rule and the ER approach, we report the discovery of a new generic ER rule for evidence combination [16]. We first introduce the concepts and equations of a new extended belief function and then examine the detailed combination equations of the new ER rule. A numerical example is provided to illustrate the new ER rule.

Keywords

Evidential reasoning Belief function Evidence combination Dempster’s rule Multiple criteria decision making 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jian-Bo Yang
    • 1
  • Dong-Ling Xu
    • 1
  1. 1.Manchester Business SchoolThe University of ManchesterManchesterUK

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