Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA14012TK" target="_blank" >RIV/61988987:17610/14:A14012TK - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples

Popis výsledku v původním jazyce

We study fuzzy quantifiers of type &lt;1, 1&gt; defined using fuzzy measures and integrals. Residuated lattices are considered as structures of truth values. We present basic notions on fuzzy measures over algebras of fuzzy subsets of a given fuzzy set,and the definition and necessary properties of fuzzy integrals. Residuated lattice operations are established to derive operations between fuzzy sets describing degrees in which formulas expressing relations between fuzzy sets are true. Finally, a general definition of type &lt;1, 1&gt; fuzzy quantifiers determined by fuzzy measures and integrals is introduced and several examples of important natural language quantifiers are modeled using this approach.

Název v anglickém jazyce

Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples

Popis výsledku anglicky

We study fuzzy quantifiers of type &lt;1, 1&gt; defined using fuzzy measures and integrals. Residuated lattices are considered as structures of truth values. We present basic notions on fuzzy measures over algebras of fuzzy subsets of a given fuzzy set,and the definition and necessary properties of fuzzy integrals. Residuated lattice operations are established to derive operations between fuzzy sets describing degrees in which formulas expressing relations between fuzzy sets are true. Finally, a general definition of type &lt;1, 1&gt; fuzzy quantifiers determined by fuzzy measures and integrals is introduced and several examples of important natural language quantifiers are modeled using this approach.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

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 periodika

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

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Svazek periodika

242

Číslo periodika v rámci svazku

1 May 2014

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

25

Strana od-do

31-55

Kód UT WoS článku

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EID výsledku v databázi Scopus

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