Operations in Fuzzy Sets and Cut Systems

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Operations in Fuzzy Sets and Cut Systems

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Operations in Fuzzy Sets and Cut Systems

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: Centrum excelence IT4Innovations</a><br>

Návaznosti

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

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název statě ve sborníku

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

ISBN

978-1-4799-3009-8

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

416-421

Název nakladatele

IEEE Computer Society

Místo vydání

Los Alamitos, California

Místo konání akce

Las Vegas, USA

Datum konání akce

10. 3. 2014

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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