Quantification of Conflict in Dempster-Shafer Framework: A New Approach

George, Thomas; Pal, Nikhil R.

doi:10.1080/03081079608945130

Cited by 106 publications

(71 citation statements)

References 10 publications

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“…An important feature in the denominator part of m 1 ⊕m 2 is s 1 ∩s 2 =∅ m 1 (s 1 )m 2 (s 2 ), interpreted as a measure of conflict between the evidence (George and Pal 1996;Beynon 2002). The larger this measure, the more conflict in the sources of evidence, and subsequently the less sense there is in their combination (Hegarat-Mascle et al 1997;Murphy 2000).…”

Section: Appendix A: Preliminaries Of Dempster-shafer Theorymentioning

confidence: 97%

The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making

Beynon

2005

Group Decis Negot

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DS/AHP is a nascent method of multi-criteria decision-making, based on the Dempster-Shafer theory of evidence and indirectly the Analytic Hierarchy Process. It is concerned with the identification of the levels of preference that decision makers have towards certain decision alternatives (DAs), through preference judgements made over a number of different criteria. The working result from a DS/AHP analysis is the body of evidence (BOE), which includes a series of mass values that represent the exact beliefs in the best DA(s) existing within certain subsets of DAs. This paper considers the role of DS/AHP as an aid to group decision-making, through the utilisation of a distance measure (between BOEs). Here, the distance measure enables the identification of the members of the decision-making group who are in most agreement, with respect to the judgements they have individually made. The utilisation of a single linkage dendrite approach to clustering elucidates an appropriate order to the aggregation of the judgements of the group members. This develops the DS/AHP method as a tool to identify inter-group alliances, as well as introduce a 'majority rule' approach to decision-making through consensus building.

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Section: Appendix A: Preliminaries Of Dempster-shafer Theorymentioning

confidence: 97%

The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making

Beynon

2005

Group Decis Negot

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“…D-S theory has been vastly applied in artificial intelligence, expert systems, pattern recognition, information fusion, risk assessment, multiple-attribute decision analysis etc. [46][47][48][49][50][51][52][53][54][55].…”

Section: Basis Of Dempster-shafer Theorymentioning

confidence: 99%

A New DST-Belief Theoretic Project Selection Model for Multi-Criteria Decision Support System

Bakshi

Sinharay²,

Sarkar

et al. 2015

J. Inst. Eng. India Ser. C

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Decision-making problem is co-related to quality and availability of the information. Innovative algorithms are proposed as a mathematical problem-solving technique to work in uncertainty-based decision science domain. Evidence-based theory of Dempster-Shafer (DST) is an effective mathematical tool to deal with uncertainty in the decision-making procedure. The current research exposition on new decision-making method based on DST of evidence, quantification evidence preference from different multiple criteria defined by belief function has been presented. They have developed a new framework that tackles the challenges and borne out of uncertainty both in criteria and in alternative levels. The proposed hybridized MCDM tool developed upon fuzzy domain uses plausibility and theory of belief function to construct decision on uncertain and imprecise information. The proposed method can be well fitted for real-life application. An illustrative example establishes the effectiveness of the aforesaid method.

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“…Slightly different, but similar, approach was taken by George and Pal [10]. They defined conflict as a weighted average over all pairs of focal elements of a measure of conflict of two focal elements.…”

Section: Measures Of Uncertaintymentioning

confidence: 99%

Measure of Uncertainty and Information

Klir

2005

Uncertainty and Information

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Quantification of Conflict in Dempster-Shafer Framework: A New Approach

Cited by 106 publications

References 10 publications

The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making

The Role of the DS/AHP in Identifying Inter-Group Alliances and Majority Rule Within Group Decision Making

A New DST-Belief Theoretic Project Selection Model for Multi-Criteria Decision Support System

Measure of Uncertainty and Information

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