About: Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples     Goto   Sponge   NotDistinct   Permalink

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Description
  • We study fuzzy quantifiers of type <1, 1> defined using fuzzy measures and integrals. Residuated lattices are considered as structures of truth values. We present basic notions on fuzzy measures over algebras of fuzzy subsets of a given fuzzy set, and the definition and necessary properties of fuzzy integrals. Residuated lattice operations are established to derive operations between fuzzy sets describing degrees in which formulas expressing relations between fuzzy sets are true. Finally, a general definition of type <1, 1> fuzzy quantifiers determined by fuzzy measures and integrals is introduced and several examples of important natural language quantifiers are modeled using this approach.
  • We study fuzzy quantifiers of type <1, 1> defined using fuzzy measures and integrals. Residuated lattices are considered as structures of truth values. We present basic notions on fuzzy measures over algebras of fuzzy subsets of a given fuzzy set, and the definition and necessary properties of fuzzy integrals. Residuated lattice operations are established to derive operations between fuzzy sets describing degrees in which formulas expressing relations between fuzzy sets are true. Finally, a general definition of type <1, 1> fuzzy quantifiers determined by fuzzy measures and integrals is introduced and several examples of important natural language quantifiers are modeled using this approach. (en)
Title
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples (en)
skos:prefLabel
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part I: Basic Definitions and Examples (en)
skos:notation
  • RIV/61988987:17610/14:A14012TK!RIV14-MSM-17610___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0070)
http://linked.open...iv/cisloPeriodika
  • 1 May 2014
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 51571
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17610/14:A14012TK
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Fuzzy measure; Fuzzy integral; Fuzzy logic; Fuzzy quantifier (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [F39455D1A637]
http://linked.open...i/riv/nazevZdroje
  • FUZZY SET SYST
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 242
http://linked.open...iv/tvurceVysledku
  • Dvořák, Antonín
  • Holčapek, Michal
issn
  • 0165-0114
number of pages
http://localhost/t...ganizacniJednotka
  • 17610
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