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Operations in Fuzzy Sets and Cut Systems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA14019BI" target="_blank" >RIV/61988987:17610/14:A14019BI - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Operations in Fuzzy Sets and Cut Systems

  • Original language description

    Any fuzzy set X in a classical set A with values in a complete (residuated) lattice Q can be identified with a system of alpha- cuts. Analogical results were proved for sets with similarity relations with values in Q (e.g. Q-sets) which are objects of two special categories of Q-sets and for fuzzy sets defined as special morphisms in these categories. These fuzzy sets can be defined equivalently as special cut systems, called f-cuts. In the paper we are interested in relationships between sets of fuzzysets and sets of f-cuts in an Q-set in corresponding categories, which are endowed with binary operations extended either from Binary operations in the lattice Q, or from binary operations defined in a set A by the generalized Zadeh extension principle.We prove that the resulting binary structures are (under some conditions) isomorphic.

  • 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/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

  • Continuities

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

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

    Proceedings of the International Conference on Computational Science and Computational Intelligence (CSCI 2014)

  • ISBN

    978-1-4799-3009-8

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    416-421

  • Publisher name

    IEEE Computer Society

  • Place of publication

    Los Alamitos, California

  • Event location

    Las Vegas, USA

  • Event date

    Mar 10, 2014

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article