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Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:
A note on the links between different qualitative integrals
Citace
Holčapek, M. a Rico, A. A note on the links between different qualitative integrals.
In:
IEEE Conference on Fuzzy Systems: 2020 IEEE International Conference on Fuzzy Systems, FUZZ 2020 2020-07-19 Glasgow.
IEEE, 2020. s. 1-8. ISBN 978-172816932-3.
Subtitle
Publication year:
2020
Obor:
Obecná matematika
Number of pages:
8
Page from:
1
Page to:
8
Form of publication:
Elektronická verze
ISBN code:
978-172816932-3
ISSN code:
1098-7584
Proceedings title:
2020 IEEE International Conference on Fuzzy Systems, FUZZ 2020
Proceedings:
Mezinárodní
Publisher name:
IEEE
Place of publishing:
Country of Publication:
Název konference:
IEEE Conference on Fuzzy Systems
Místo konání konference:
Glasgow
Datum zahájení konference:
Typ akce podle státní
příslušnosti účastníků:
Celostátní akce
WoS code:
EID:
2-s2.0-85090503927
Key words in English:
Fuzzy measures; fuzzy integrals; L-fuzzy quantifiers; qualitative integrals; graded square of opposition; modern square.
Annotation in original language:
Qualitative or equivalently fuzzy integrals are used as qualitative aggregation functions or as L-fuzzy quantifiers. In both cases they are generalisations of Sugeno integrals. The definitions of these fuzzy integrals are quite similar and coincide in particular cases, but surprisingly there is no deeper analysis of their relationship. The paper attempts to fill this gap and provides unified definitions of fuzzy quantifiers on the basis of which various links between these fuzzy integrals are studied. In order to make these links more visible and to emphasise their logical structure, we present them using the graded square and modern square of opposition.
Annotation in english language:
References
Reference
R01:
RIV/61988987:17610/20:A21025DV
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