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Powerset theory of fuzzy soft sets

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F20%3AA2101ZRM" target="_blank" >RIV/61988987:17610/20:A2101ZRM - isvavai.cz</a>

  • Result on the web

    <a href="http://www.ijfis.org/journal/list.html?pn=search&s_t=Powerset+theory+of+fuzzy+soft+sets&s_a=&s_k=&s_v=&s_n=&x=33&y=8" target="_blank" >http://www.ijfis.org/journal/list.html?pn=search&s_t=Powerset+theory+of+fuzzy+soft+sets&s_a=&s_k=&s_v=&s_n=&x=33&y=8</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.5391/IJFIS.2020.20.4.298" target="_blank" >10.5391/IJFIS.2020.20.4.298</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Powerset theory of fuzzy soft sets

  • Original language description

    Fuzzy sets powerset theory and the fact that this theory is defined by the monad are one of the key tools that enable the application of this theory also in computer science. The generalization of fuzzy sets with considerable application potential in decision making problems, optimization and others are fuzzy soft sets. In the paper we prove that fuzzy soft sets also create a powerset theory and this powerset theory is also defined by a monad. Analogously to fuzzy sets, in the theory of fuzzy soft sets it is possible to use many theoretical constructions, requiring the existence of powerset structures and monads. As an example of the use of monads in fuzzy soft sets, the construction of fuzzy soft relations and their compositions are described.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>

  • Continuities

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

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    International Journal of Fuzzy Logic and Intelligent Systems

  • ISSN

    1598-2645

  • e-ISSN

    2093-744X

  • Volume of the periodical

    20

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    KR - KOREA, REPUBLIC OF

  • Number of pages

    18

  • Pages from-to

    298-315

  • UT code for WoS article

    000608516000006

  • EID of the result in the Scopus database