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Towards a Conflicting Part of a Belief Function

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F14%3A00430480" target="_blank" >RIV/67985807:_____/14:00430480 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-08852-5_22" target="_blank" >http://dx.doi.org/10.1007/978-3-319-08852-5_22</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-08852-5_22" target="_blank" >10.1007/978-3-319-08852-5_22</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Towards a Conflicting Part of a Belief Function

  • Original language description

    Belief functions usually contain some internal conflict. Based on Hájek-Valdés algebraic analysis of belief functions, a unique decomposition of a belief function into its conflicting and non-conflicting part was introduced at ISIPTA?11 symposium for belief functions defined on a two-element frame of discernment. This contribution studies the conditions under which such a decomposition exists for belief functions defined on a three-element frame. A generalisation of important Hájek-Valdés homomorphism fof semigroup of belief functions onto its subsemigroup of indecisive belief functions is found and presented. A class of quasi-Bayesian belief functions, for which the decomposition into conflicting and non-conflicting parts exists is specified. A series of other steps towards a conflicting part of a belief function are presented. Several open problems from algebra of belief functions which are related to the investigated topic and are necessary for general solution of the issue of deco

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP202%2F10%2F1826" target="_blank" >GAP202/10/1826: Mathematical Fuzzy Logic in Computer Science</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Information Processing and Management of Uncertainty in Knowledge-Based Systems

  • ISBN

    978-3-319-08851-8

  • ISSN

    1865-0929

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    212-222

  • Publisher name

    Springer

  • Place of publication

    Cham

  • Event location

    Montpellier

  • Event date

    Jul 15, 2014

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000345123400022