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  • Within this contribution we study the problem of approximating the Zadeh's extension of a given function. Among other things, we showed that the technique of F-transform can effectively approximate this extension. We also studied a general problem of the choice of the metric on the space of fuzzy sets (resp. numbers) and we showed that, in comparison to recent habits, the choice of the levelwise metric need not be the best one, and that the approximation process can be simplified. We also slightly discussed the ability of fuzzy rule based systems to approximate the Zadeh's extension. Our results are general in the sense we mostly require nothing but the continuity of the original map.
  • Within this contribution we study the problem of approximating the Zadeh's extension of a given function. Among other things, we showed that the technique of F-transform can effectively approximate this extension. We also studied a general problem of the choice of the metric on the space of fuzzy sets (resp. numbers) and we showed that, in comparison to recent habits, the choice of the levelwise metric need not be the best one, and that the approximation process can be simplified. We also slightly discussed the ability of fuzzy rule based systems to approximate the Zadeh's extension. Our results are general in the sense we mostly require nothing but the continuity of the original map. (en)
Title
  • Some Remarks on Approximations of the Zadeh's Extension
  • Some Remarks on Approximations of the Zadeh's Extension (en)
skos:prefLabel
  • Some Remarks on Approximations of the Zadeh's Extension
  • Some Remarks on Approximations of the Zadeh's Extension (en)
skos:notation
  • RIV/61988987:17610/13:A14017QZ!RIV14-MSM-17610___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(ED1.1.00/02.0070), S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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  • 106342
http://linked.open...ai/riv/idVysledku
  • RIV/61988987:17610/13:A14017QZ
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  • Zadeh's extension; approximation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [FF26F927A67B]
http://linked.open...v/mistoKonaniAkce
  • Hyderabad
http://linked.open...i/riv/nazevZdroje
  • 2013 IEEE International Conference on Fuzzy Systems (FUZZ)
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Kupka, Jiří
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http://linked.open.../riv/zahajeniAkce
issn
  • 1098-7584
number of pages
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  • IEEE
https://schema.org/isbn
  • 9781479900220
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  • 17610
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