Entropy for evaluation of Dempster-Shafer belief function models

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F22%3A00562467" target="_blank" >RIV/67985556:_____/22:00562467 - isvavai.cz</a>
Alternative codes found
RIV/61384399:31160/22:00058379
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0888613X22001463?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0888613X22001463?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijar.2022.09.009" target="_blank" >10.1016/j.ijar.2022.09.009</a>

Result language
angličtina
Original language name
Entropy for evaluation of Dempster-Shafer belief function models
Original language description
Applications of Dempster-Shafer (D-S) belief functions to practical problems involve difficulties arising from their high computational complexity. One can use space-saving factored approximations such as graphical belief function models to solve them. Using an analogy with probability distributions, we represent these approximations in the form of compositional models. Since no theoretical apparatus similar to probabilistic information theory exists for D-S belief functions (e. g., dissimilarity measure analogous to the Kullback-Liebler divergence measure), the problems arise not only in connection with the design of algorithms seeking optimal approximations but also in connection with a criterion comparing two different approximations. In this respect, the application of the analogy with probability theory fails. Therefore, in this paper, we conduct some synthetic experiments and describe the results designed to reveal whether some belief function entropy definitions described in the literature can detect optimal approximations, i.e., that achieve their minimum for an optimal approximation.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10103 - Statistics and probability

Project
<a href="/en/project/GA19-06569S" target="_blank" >GA19-06569S: Managerial Decisions: Rationality of Paradoxical Behavior</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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