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  • This paper presents basic notions about fuzzy measures over algebras of fuzzy subsets of a fuzzy set. It also presents basic ideas on fuzzy integrals defined using these fuzzy measures. Definitions of new types of fuzzy measures and integrals are motivated by our research on generalized quantifiers. Several useful properties of fuzzy measures and fuzzy integrals are stated and proved. Definitions presented in this paper and its results will be employed in subsequent papers on generalized quantifiers defined using this type of fuzzy integral.
  • This paper presents basic notions about fuzzy measures over algebras of fuzzy subsets of a fuzzy set. It also presents basic ideas on fuzzy integrals defined using these fuzzy measures. Definitions of new types of fuzzy measures and integrals are motivated by our research on generalized quantifiers. Several useful properties of fuzzy measures and fuzzy integrals are stated and proved. Definitions presented in this paper and its results will be employed in subsequent papers on generalized quantifiers defined using this type of fuzzy integral. (en)
Title
  • Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices
  • Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices (en)
skos:prefLabel
  • Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices
  • Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices (en)
skos:notation
  • RIV/61988987:17610/12:A1200ZNS!RIV12-MSM-17610___
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  • P(IAA108270901), Z(MSM6198898701)
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  • 1
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  • 137603
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  • RIV/61988987:17610/12:A1200ZNS
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  • Fuzzy measure; fuzzy integral; fuzzy quantifier (en)
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  • NL - Nizozemsko
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  • [9542E1784D9C]
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  • INFORM SCIENCES
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  • 185
http://linked.open...iv/tvurceVysledku
  • Dvořák, Antonín
  • Holčapek, Michal
http://linked.open...n/vavai/riv/zamer
issn
  • 0020-0255
number of pages
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  • 17610
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