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Markov kernels and tribes

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F18%3A73589773" target="_blank" >RIV/61989592:15310/18:73589773 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0020025516314505" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0020025516314505</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.ins.2018.05.042" target="_blank" >10.1016/j.ins.2018.05.042</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Markov kernels and tribes

  • Original language description

    We define an ordering on the set of bounded Markov kernels associated with a tribe of fuzzy sets. We show that under this order, the set of bounded Markov kernels is a Dedekind sigma-complete lattice. In addition, we define a sum of bounded Markov kernels such that the set of bounded Markov kernels is a lattice-ordered semigroup. If we concentrate only to sharp bounded Markov kernels, then this set is even a Dedekind sigma-complete l-group with strong unit. We show that our methods work also for bounded Markov kernels associated with T-s-tribes of fuzzy sets, where T-s is any Frank t-norm and s is an element of (0, infinity). (C) 2018 Elsevier Inc. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    INFORMATION SCIENCES

  • ISSN

    0020-0255

  • e-ISSN

  • Volume of the periodical

    460

  • Issue of the periodical within the volume

    SEP

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    9

  • Pages from-to

    42-50

  • UT code for WoS article

    000441494000003

  • EID of the result in the Scopus database

    2-s2.0-85047473477