On the combination and normalization of interval-valued belief structures

Ying Ming Wang; Jian Bo Yang; Dong Ling Xu; Kwai Sang Chin

doi:10.1016/j.ins.2006.07.025

On the combination and normalization of interval-valued belief structures

Ying Ming Wang, Jian Bo Yang, Dong Ling Xu, Kwai Sang Chin

Research output: Contribution to journal › Article › peer-review

Abstract

This paper investigates the issues of combination and normalization of interval-valued belief structures within the framework of Dempster-Shafer theory (DST) of evidence. Existing approaches are reviewed, examined and critically analysed. They either ignore the normalization or separate it from the combination process, leading to irrational or suboptimal interval-valued belief structures. A new logically correct optimality approach is developed, where the combination and the normalization are optimised together rather than separately. Numerical examples are provided throughout the paper. © 2006 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	1230-1247
Number of pages	17
Journal	Information Sciences
Volume	177
Issue number	5
DOIs	https://doi.org/10.1016/j.ins.2006.07.025
Publication status	Published - 1 Mar 2007

Keywords

Dempster-Shafer theory of evidence
Dezert-Smarandache theory (DSmT) of plausible and paradoxical reasoning
Interval-valued belief structures
Transferable belief model (TBM)

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10.1016/j.ins.2006.07.025

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title = "On the combination and normalization of interval-valued belief structures",

abstract = "This paper investigates the issues of combination and normalization of interval-valued belief structures within the framework of Dempster-Shafer theory (DST) of evidence. Existing approaches are reviewed, examined and critically analysed. They either ignore the normalization or separate it from the combination process, leading to irrational or suboptimal interval-valued belief structures. A new logically correct optimality approach is developed, where the combination and the normalization are optimised together rather than separately. Numerical examples are provided throughout the paper. {\textcopyright} 2006 Elsevier Inc. All rights reserved.",

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year = "2007",

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AU - Yang, Jian Bo

AU - Xu, Dong Ling

AU - Chin, Kwai Sang

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N2 - This paper investigates the issues of combination and normalization of interval-valued belief structures within the framework of Dempster-Shafer theory (DST) of evidence. Existing approaches are reviewed, examined and critically analysed. They either ignore the normalization or separate it from the combination process, leading to irrational or suboptimal interval-valued belief structures. A new logically correct optimality approach is developed, where the combination and the normalization are optimised together rather than separately. Numerical examples are provided throughout the paper. © 2006 Elsevier Inc. All rights reserved.

AB - This paper investigates the issues of combination and normalization of interval-valued belief structures within the framework of Dempster-Shafer theory (DST) of evidence. Existing approaches are reviewed, examined and critically analysed. They either ignore the normalization or separate it from the combination process, leading to irrational or suboptimal interval-valued belief structures. A new logically correct optimality approach is developed, where the combination and the normalization are optimised together rather than separately. Numerical examples are provided throughout the paper. © 2006 Elsevier Inc. All rights reserved.

KW - Dempster-Shafer theory of evidence

KW - Dezert-Smarandache theory (DSmT) of plausible and paradoxical reasoning

KW - Interval-valued belief structures

KW - Transferable belief model (TBM)

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M3 - Article

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VL - 177

SP - 1230

EP - 1247

JO - Information Sciences

JF - Information Sciences

IS - 5

ER -

On the combination and normalization of interval-valued belief structures

Abstract

Keywords

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