A generalization of jeffrey’s rule in the interval-valued dempster-shafer framework

Guojing Xu, Ying Cao, Wen Jiang, Xinyang Deng

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Jeffrey’s rule of conditioning is an effective tool to update the current information under the given information. However, traditional Jeffrey’s rule can only process information under the framework of probability theory. So we generalize it based on Dempster-Shafer evidence theory which was seen as a generalization of probability in this paper. In this generalization, interval-valued prior and conditional probability which satisfies weaker conditions is joined with the basis of original Jeffrey’s rule and Dempster-Shafer evidence theory. And we then achieve the update of information by building an optimization model under interval prior and conditional probability. We achieve comparison of interval-valued belief degree with the basis of TOPSIS. One of the main advantages of this generalization is its ability to handle information with wider imperfections. Finally, we demonstrate the application of our generalization on an example of multi-criteria decision-making.

Original languageEnglish
Title of host publicationThe Proceedings of the Asia-Pacific International Symposium on Aerospace Technology, APISAT 2018
EditorsXinguo Zhang
PublisherSpringer Verlag
Pages2053-2063
Number of pages11
ISBN (Print)9789811333040
DOIs
StatePublished - 2019
EventAsia-Pacific International Symposium on Aerospace Technology, APISAT 2018 - Chengdu, China
Duration: 16 Oct 201818 Oct 2018

Publication series

NameLecture Notes in Electrical Engineering
Volume459
ISSN (Print)1876-1100
ISSN (Electronic)1876-1119

Conference

ConferenceAsia-Pacific International Symposium on Aerospace Technology, APISAT 2018
Country/TerritoryChina
CityChengdu
Period16/10/1818/10/18

Keywords

  • Conditional probability
  • Interval Dempster-Shafer framework
  • Jeffrey’s rule
  • Multi-criteria decision-making
  • Prior probability

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