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Rough Sets and Topology in AST: a Study via Higher-order Fuzzy Logic

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AN0000001" target="_blank" >RIV/61988987:17610/22:N0000001 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-030-74970-5_15" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-74970-5_15</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-74970-5" target="_blank" >10.1007/978-3-030-74970-5</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Rough Sets and Topology in AST: a Study via Higher-order Fuzzy Logic

  • Original language description

    This paper is an overview paper extended by new results, that deals with the relation of the basic notions of rough set theory and the topological notions introduced in the Alternative Set Theory (AST). Using the formalism of higher-order fuzzy logic (FTT), we prove syntactically that the main properties and relations among all the considered concepts hold both in classical as well as rough fuzzy set theory, and show that the basic concepts of rough sets are among some of the topological concepts of AST.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure 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

    2022

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Computational Intelligence and Mathematics for tackling Complex problems 3

  • ISBN

    978-3-030-74969-9

  • ISSN

    1860-949X

  • e-ISSN

    1860-9503

  • Number of pages

    12

  • Pages from-to

    127-138

  • Publisher name

    Springer

  • Place of publication

    Berlin

  • Event location

    Budapest

  • Event date

    Oct 3, 2021

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article