About: Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances     Goto   Sponge   NotDistinct   Permalink

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Description
  • We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type <1, 1> defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutation invariance) and with respect to bijections between different universes of discourse (isomorphism invariance). In other words, fuzzy quantifiers with these properties are sensitive only to the cardinality of subsets of the universe of discourse, and not to the individual nature of the elements of these subsets. We characterize these properties by means of the corresponding properties of functionals used in the definition of the fuzzy quantifiers.
  • We study the properties of permutation invariance and isomorphism invariance of fuzzy quantifiers of type <1, 1> defined using fuzzy measures and integrals. These properties hold if fuzzy quantifiers are invariant with respect to permutations (bijective mappings) on the universe of discourse (permutation invariance) and with respect to bijections between different universes of discourse (isomorphism invariance). In other words, fuzzy quantifiers with these properties are sensitive only to the cardinality of subsets of the universe of discourse, and not to the individual nature of the elements of these subsets. We characterize these properties by means of the corresponding properties of functionals used in the definition of the fuzzy quantifiers. (en)
Title
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances (en)
skos:prefLabel
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances
  • Type <1,1> Fuzzy Quantifiers Determined by Fuzzy Measures on Residuated Lattices. Part II: Permutation and Isomorphism Invariances (en)
skos:notation
  • RIV/61988987:17610/14:A14012TM!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
  • 51572
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17610/14:A14012TM
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Fuzzy quantifier; Fuzzy logic; Permutation invariance; Fuzzy measure (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [B625B5BDF699]
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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