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.
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