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Morphisms of Dempster's Semigroup: A Revision and Interpretation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F11%3A00367898" target="_blank" >RIV/67985807:_____/11:00367898 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Morphisms of Dempster's Semigroup: A Revision and Interpretation

  • Original language description

    Analyzing three new approaches to interpretation, definition, and measurement of conflicts of belief Functions (BFs), we previously observed a possibility of expression of a BF Bel as Dempster's sum of non-conflicting BF Bel0 with the same plausibility decisional support as the original BF Bel has and of indecisive BF BelS which does not prefer any of the elements of frame of discernment. Based on this observation, the theory of homomorphisms of Dempster's semigroup (the algebra of non-extremal BFs on 2-element frame of discernment with Dempster's rule as its binary operation) is updated in the present contribution. New homomorphisms are introduced; their interpretation and relation to the original ones are presented.

  • 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

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Proceedings of 14th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty CJS 2011

  • ISBN

    978-80-7378-179-8

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

    26-34

  • Publisher name

    Matfyzpress

  • Place of publication

    Praha

  • Event location

    Hejnice

  • Event date

    Sep 18, 2011

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article