Belief Conditioning Rules

Belief Conditioning Rules
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 27
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In this paper we propose a new family of Belief Conditioning Rules (BCR) for belief revision. These rules are not directly related with the fusion of several sources of evidence but with the revision of a belief assignment available at a given time according to the new truth (i.e. conditioning constraint) one has about the space of solutions of the problem.

Analysis of DSm belief conditioning rules and extension of their applicability

Analysis of DSm belief conditioning rules and extension of their applicability
Author: Milan Daniel
Publisher: Infinite Study
Total Pages: 22
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Analysis of belief conditioning rules (BCRs) is presented in this chapter. Some simplifications of formulas for BCRs are suggested. A comparison of BCRs with classic rules of conditioning is performed. Finally, definition domains and applicability of BCRs are extended. Full formal definition of the extended version of BCR12 is presented.

Qualitative Belief Conditioning Rules (QBCR)

Qualitative Belief Conditioning Rules (QBCR)
Author: Florentin Smarandache
Publisher: Infinite Study
Total Pages: 13
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In this paper we extend the new family of (quantitative) Belief Conditioning Rules (BCR) recently developed in the Dezert-Smarandache Theory (DSmT) to their qualitative counterpart for belief revision.

Advances and Applications of DSmT for Information Fusion, Vol. IV

Advances and Applications of DSmT for Information Fusion, Vol. IV
Author: Florentin Smarandache, Jean Dezert
Publisher: Infinite Study
Total Pages: 506
Release: 2015-03-01
Genre:
ISBN: 1599733242

The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions (see List of Articles published in this book, at the end of the volume) have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) ininternational conferences, seminars, workshops and journals.

The Oxford Handbook of Rationality

The Oxford Handbook of Rationality
Author: Alfred R. Mele
Publisher: Oxford University Press, USA
Total Pages: 490
Release: 2004-02-05
Genre: Philosophy
ISBN: 0195145399

Rationality has long been a central topic in philosophy, crossing standard divisions and categories. 'The Oxford Handbook of Rationality' is a reference to the current state of play in this vital and interdisciplinary area of study.

Non-numeric labels and constrained focal elements

Non-numeric labels and constrained focal elements
Author: Christophe Osswald
Publisher: Infinite Study
Total Pages: 24
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The theory of belief functions allows to build a large family of combination operators, based mostly on intersections and unions between the focal elements expressed by the experts, and multiplications and additions on the masses affected to these focal elements.

On the Behavior of Dempster’s Rule of Combination and the Foundations of Dempster-Shafer Theory

On the Behavior of Dempster’s Rule of Combination and the Foundations of Dempster-Shafer Theory
Author: Albena Tchamova
Publisher: Infinite Study
Total Pages: 6
Release: 2012-04-16
Genre: Mathematics
ISBN:

On the base of simple emblematic example we analyze and explain the inconsistent and inadequate behavior of Dempster-Shafer’s rule of combination as a valid method to combine sources of evidences. We identify the cause and the effect of the dictatorial power behavior of this rule and of its impossibility to manage the conflicts between the sources. For a comparison purpose, we present the respective solution obtained by the more efficient PCR5 fusion rule proposed originally in Dezert-Smarandache Theory framework. Finally, we identify and prove the inherent contradiction of Dempster-Shafer Theory foundations.