Conditioning and updating evidence

E. C. Kulasekere; K. Premaratne; D. A. Dewasurendra; M. L. Shyu; P. H. Bauer

doi:10.1016/j.ijar.2003.10.001

Conditioning and updating evidence

E. C. Kulasekere, K. Premaratne, D. A. Dewasurendra, M. L. Shyu, P. H. Bauer

Electrical and Computer Engineering

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

51 Scopus citations

Abstract

A new interpretation of Dempster-Shafer conditional notions based directly upon the mass assignments is provided. The masses of those propositions that may imply the complement of the conditioning proposition are shown to be completely annulled by the conditioning operation; conditioning may then be construed as a re-distribution of the masses of some of these propositions to those that definitely imply the conditioning proposition. A complete characterization of the propositions whose masses are annulled without re-distribution, annulled with re-distribution and enhanced by the re-distribution of masses is provided. A new evidence updating strategy that is composed of a linear combination of the available evidence and the conditional evidence is also proposed. It enables one to account for the 'integrity' and 'inertia' of the available evidence and its 'flexibility' to updating by appropriate selection of the linear combination weights. Several such strategies, including one that has a probabilistic interpretation, are also provided.

Original language	English (US)
Pages (from-to)	75-108
Number of pages	34
Journal	International Journal of Approximate Reasoning
Volume	36
Issue number	1
DOIs	https://doi.org/10.1016/j.ijar.2003.10.001
State	Published - Apr 2004

Keywords

Conditioning evidence
Dempster-Shafer theory
Distributed decision networks
Evidential reasoning
Updating evidence

ASJC Scopus subject areas

Statistics and Probability
Electrical and Electronic Engineering
Statistics, Probability and Uncertainty
Information Systems and Management
Information Systems
Computer Science Applications
Artificial Intelligence

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10.1016/j.ijar.2003.10.001

Cite this

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title = "Conditioning and updating evidence",

abstract = "A new interpretation of Dempster-Shafer conditional notions based directly upon the mass assignments is provided. The masses of those propositions that may imply the complement of the conditioning proposition are shown to be completely annulled by the conditioning operation; conditioning may then be construed as a re-distribution of the masses of some of these propositions to those that definitely imply the conditioning proposition. A complete characterization of the propositions whose masses are annulled without re-distribution, annulled with re-distribution and enhanced by the re-distribution of masses is provided. A new evidence updating strategy that is composed of a linear combination of the available evidence and the conditional evidence is also proposed. It enables one to account for the 'integrity' and 'inertia' of the available evidence and its 'flexibility' to updating by appropriate selection of the linear combination weights. Several such strategies, including one that has a probabilistic interpretation, are also provided.",

keywords = "Conditioning evidence, Dempster-Shafer theory, Distributed decision networks, Evidential reasoning, Updating evidence",

author = "Kulasekere, {E. C.} and K. Premaratne and Dewasurendra, {D. A.} and Shyu, {M. L.} and Bauer, {P. H.}",

note = "Funding Information: The authors are indebted to Professor P. Smets for bringing previously reported work on conditional notions (in particular, [27]) to their attention. The valuable comments provided by both Professor Smets and the IJAR Editor-in-Chief Professor P.P. Bonissone are also immensely appreciated. The support provided by the National Science Foundation (NSF) via Grant ANI-9726253 (for KP, and partially for ECK and DAD while they were at University of Miami), ITR Medium Grant IIS-0325260 (for KP and MLS), Grant ANI-9726247 and ITR Medium Grant IIS-0325252 (for PHB) are gratefully acknowledged. Finally, KP wishes to extend his indebtedness to Professor T.Y. Young of the Department of Electrical and Computer Engineering, University of Miami, for providing the probabilistic interpretation of the most flexible IAE-based updating scheme.",

year = "2004",

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doi = "10.1016/j.ijar.2003.10.001",

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AU - Premaratne, K.

AU - Dewasurendra, D. A.

AU - Shyu, M. L.

AU - Bauer, P. H.

N1 - Funding Information: The authors are indebted to Professor P. Smets for bringing previously reported work on conditional notions (in particular, [27]) to their attention. The valuable comments provided by both Professor Smets and the IJAR Editor-in-Chief Professor P.P. Bonissone are also immensely appreciated. The support provided by the National Science Foundation (NSF) via Grant ANI-9726253 (for KP, and partially for ECK and DAD while they were at University of Miami), ITR Medium Grant IIS-0325260 (for KP and MLS), Grant ANI-9726247 and ITR Medium Grant IIS-0325252 (for PHB) are gratefully acknowledged. Finally, KP wishes to extend his indebtedness to Professor T.Y. Young of the Department of Electrical and Computer Engineering, University of Miami, for providing the probabilistic interpretation of the most flexible IAE-based updating scheme.

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N2 - A new interpretation of Dempster-Shafer conditional notions based directly upon the mass assignments is provided. The masses of those propositions that may imply the complement of the conditioning proposition are shown to be completely annulled by the conditioning operation; conditioning may then be construed as a re-distribution of the masses of some of these propositions to those that definitely imply the conditioning proposition. A complete characterization of the propositions whose masses are annulled without re-distribution, annulled with re-distribution and enhanced by the re-distribution of masses is provided. A new evidence updating strategy that is composed of a linear combination of the available evidence and the conditional evidence is also proposed. It enables one to account for the 'integrity' and 'inertia' of the available evidence and its 'flexibility' to updating by appropriate selection of the linear combination weights. Several such strategies, including one that has a probabilistic interpretation, are also provided.

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Conditioning and updating evidence

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