On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F11%3AA17012TC" target="_blank" >RIV/61988987:17610/11:A17012TC - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On Monotonicity Of Type <1, 1> Fuzzy Quantifiers Determined By Fuzzy Measures
Original language description
In this contribution, we study a very important semantic property of generalized quantifiers called the monotonicity for fuzzy quantifiers of type <1, 1> defined using fuzzy measures and Sugeno type of fuzzy integrals. We show that fuzzy integrals can ensure under some natural conditions the monotonicity of fuzzy quantifiers. Finally, we propose the concept of concave fuzzy quantifiers and prove that each concave fuzzy quantifier is expressible as the conjunction of a non-increasing and a nondecreasing fuzzy quantifier.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA108270901" target="_blank" >IAA108270901: Cardinality of Fuzzy Sets and Fuzzy Quantifiers</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 2011 IEEE International Conference on Fuzzy Systems
ISBN
978-1-4244-7317-5
ISSN
1098-7584
e-ISSN
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Number of pages
8
Pages from-to
2383-2390
Publisher name
DnE Taiwan
Place of publication
Taiwan
Event location
Taipei, Taiwan
Event date
Jun 27, 2011
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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