Type <1, 1> fuzzy quantifiers determined by fuzzy measures on residuated lattices. Part III. Extension, conservativity and extensionality

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F15%3AA16018Z8" target="_blank" >RIV/61988987:17610/15:A16018Z8 - 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 III. Extension, conservativity and extensionality

Original language description

We study the properties of extension, conservativity and extensionality of fuzzy quantifiers of type &lt;1, 1&gt; defined using fuzzy measures and integrals. Property of extension says that truth values of quantifier application are invariant with respect to possible extensions of universe. Conservativity expresses the property that quantifiers are in their second argument sensitive only to these objects which lie in the intersection of their arguments. Extensionality represents a form of smoothness ofquantifiers. We characterize these properties by means of the corresponding properties of functionals used in the definition of fuzzy quantifiers.

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

2015

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

271

Issue of the periodical within the volume

07/2015

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

23

Pages from-to

133-155

UT code for WoS article

000353216600010

EID of the result in the Scopus database

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