Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA14012TM" target="_blank" >RIV/61988987:17610/14:A14012TM - 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 II: Permutation and Isomorphism Invariances

Original language description

We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type &lt;1, 1&gt; defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutation invariance) and with respect to bijections between different universes of discourse (isomorphism invariance). In other words, fuzzy quantifiers with these properties are sensitive only to the cardinality of subsets of the universe of discourse, and not to the individual nature of the elements of these subsets. We characterize these properties by means of the corresponding properties of functionals used in the definition of the 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

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

33

Pages from-to

56-88

UT code for WoS article

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EID of the result in the Scopus database

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