Algebraické struktury vztahující se ke kombinování domněnkových funkcí

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F04%3A00105223" target="_blank" >RIV/67985807:_____/04:00105223 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Algebraic Structures Related to the Combination of Belief Functions

Popis výsledku v původním jazyce

Based on a new demand - the commutativity of belief functions combination with refinement/coarsening of the frame of discernment - the role of the disjunctive rule of combination has increased. To compare the nature of this rule with a more frequent butalso more controversional one, i.e. with Dempster's rule, an algebraic analysis was used. The basic necessary definitions both from the Dempster-Shafer theory and from algebra are recalled. An algebraic investigation of the Dempster's semigroup - the algebraic structure of binary belief functions with the Dempster's rule of combination is briefly recalled as well. After this, a new algebraic structure of binary belief functions with the disjunctive rule of combination is defined. The structure is studied, and the results are discussed in a comparison with those ones of the classical Dempster's rule. In the end, an impact of new algebraic results to the field of decision making and some ideas for future research are presented.

Název v anglickém jazyce

Algebraic Structures Related to the Combination of Belief Functions

Popis výsledku anglicky

Based on a new demand - the commutativity of belief functions combination with refinement/coarsening of the frame of discernment - the role of the disjunctive rule of combination has increased. To compare the nature of this rule with a more frequent butalso more controversional one, i.e. with Dempster's rule, an algebraic analysis was used. The basic necessary definitions both from the Dempster-Shafer theory and from algebra are recalled. An algebraic investigation of the Dempster's semigroup - the algebraic structure of binary belief functions with the Dempster's rule of combination is briefly recalled as well. After this, a new algebraic structure of binary belief functions with the disjunctive rule of combination is defined. The structure is studied, and the results are discussed in a comparison with those ones of the classical Dempster's rule. In the end, an impact of new algebraic results to the field of decision making and some ideas for future research are presented.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/OC%20274.001" target="_blank" >OC 274.001: Relační struktury v těžení dat a v teorii objevování</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2004

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Scientiae Mathematicae Japonicae

ISSN

1346-0862

e-ISSN

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Svazek periodika

60

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

JP - Japonsko

Počet stran výsledku

11

Strana od-do

245-255

Kód UT WoS článku

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EID výsledku v databázi Scopus

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