Fuzzy quantifiers defined over fuzzy domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AN230251B" target="_blank" >RIV/61988987:17610/22:N230251B - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0165011420304917" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011420304917</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2020.12.012" target="_blank" >10.1016/j.fss.2020.12.012</a>

Result language
angličtina
Original language name
Fuzzy quantifiers defined over fuzzy domains
Original language description
In this paper, we introduce a generalization of the concept of fuzzy quantifier called fuzzy quantifier over fuzzy universes. The development of this generalization is motivated by the impossibility to satisfactorily define the important operation of relativization for standard fuzzy quantifiers. We provide basic examples of these quantifiers and define and investigate also several semantic properties of them. Finally, we prove a theorem saying, among other things, that all these two argument fuzzy quantifiers which possess properties of extension and conservativity are relativizations of one-argument fuzzy quantifiers of this kind.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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