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  • Let B be a collection of fuzzy sets. What are the fuzzy sets which are sufficiently similar to every fuzzy set from B, i.e. 'central' fuzzy sets for B? Such a question naturally arises if B is large and one wishes to replace B by a single fuzzy set - the representative of B. In this paper, we develop a framework which enables us to answer this question and related ones. We use complete residuated lattices as the structures of truth degrees, covering thus the real unit interval with left-continuous t-norm and its residuum as an important but particular case. We present results describing central fuzzy sets and optimal central fuzzy sets, provided similarity of fuzzy sets is assessed by Leibniz rule.
  • Let B be a collection of fuzzy sets. What are the fuzzy sets which are sufficiently similar to every fuzzy set from B, i.e. 'central' fuzzy sets for B? Such a question naturally arises if B is large and one wishes to replace B by a single fuzzy set - the representative of B. In this paper, we develop a framework which enables us to answer this question and related ones. We use complete residuated lattices as the structures of truth degrees, covering thus the real unit interval with left-continuous t-norm and its residuum as an important but particular case. We present results describing central fuzzy sets and optimal central fuzzy sets, provided similarity of fuzzy sets is assessed by Leibniz rule. (en)
Title
  • Central fuzzy sets
  • Central fuzzy sets (en)
skos:prefLabel
  • Central fuzzy sets
  • Central fuzzy sets (en)
skos:notation
  • RIV/61989592:15310/10:10216432!RIV11-MSM-15310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959214)
http://linked.open...iv/cisloPeriodika
  • 5
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
  • 249910
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/10:10216432
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • central point; tolerance; similarity; fuzzy set (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [492B3B642E86]
http://linked.open...i/riv/nazevZdroje
  • International Journal of General Systems
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 39
http://linked.open...iv/tvurceVysledku
  • Bělohlávek, Radim
  • Krupka, Michal
http://linked.open...ain/vavai/riv/wos
  • 000278597500006
http://linked.open...n/vavai/riv/zamer
issn
  • 0308-1079
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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