Introduction to an Algebra of Belief Functions on Three-Element Frame of Discernment - A Quasi Bayesian Case

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F12%3A00379837" target="_blank" >RIV/67985807:_____/12:00379837 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-642-31718-7_55" target="_blank" >http://dx.doi.org/10.1007/978-3-642-31718-7_55</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-31718-7_55" target="_blank" >10.1007/978-3-642-31718-7_55</a>

Result language
angličtina
Original language name
Introduction to an Algebra of Belief Functions on Three-Element Frame of Discernment - A Quasi Bayesian Case
Original language description
The study presents an introduction to algebraic structures related to belief functions (BFs) on 3-element frame of discernment. Method by Hájek & Valdés for BFs on 2-element frames is generalized to larger frame of discernment. Due to complexity of the algebraic structure, the study is divided into 2 parts, the present one is devoted to the case of quasi Bayesian BFs. Dempster?s semigroup of BFs on 2-element frame of discernment by Hájek-Valdés is recalled. A new definition of Dempster?s semigroup (an algebraic structure) of BFs on 3-element frame is introduced; and its subalgebras in general, subalgebras of Bayesian BFs and of quasi Bayesian BFs are described and analysed. Ideas and open problems for future research are presented.
Czech name
—
Czech description
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Project
<a href="/en/project/GAP202%2F10%2F1826" target="_blank" >GAP202/10/1826: Mathematical Fuzzy Logic in Computer Science</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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