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

Result code in 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>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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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)

Publication year

2014

Confidentiality

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

Name of the periodical

FUZZY SET SYST

ISSN

0165-0114

e-ISSN

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Volume of the periodical

242

Issue of the periodical within the volume

1 May 2014

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

25

Pages from-to

31-55

UT code for WoS article

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EID of the result in the Scopus database

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