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Description
  • Fuzzy vectors were introduced as a description of imprecise quantities whose uncertainty originates from vagueness, not from a probabilistic model. Support functions are a classical tool for representation and computation with compact convex sets. The combination of these two techniques-support functions of fuzzy vectors---has been proposed by Puri and Ralescu. Independently, Bobylev proposed another type of support functions which allows a more economical representation. However, the form of the functions is not very intuitive. We suggest a new type of support functions which combines the advantages of both preceding approaches. We characterize the functions which are support functions of fuzzy vectors in the new sense.
  • Fuzzy vectors were introduced as a description of imprecise quantities whose uncertainty originates from vagueness, not from a probabilistic model. Support functions are a classical tool for representation and computation with compact convex sets. The combination of these two techniques-support functions of fuzzy vectors---has been proposed by Puri and Ralescu. Independently, Bobylev proposed another type of support functions which allows a more economical representation. However, the form of the functions is not very intuitive. We suggest a new type of support functions which combines the advantages of both preceding approaches. We characterize the functions which are support functions of fuzzy vectors in the new sense. (en)
Title
  • Different representations of fuzzy vectors
  • Different representations of fuzzy vectors (en)
skos:prefLabel
  • Different representations of fuzzy vectors
  • Different representations of fuzzy vectors (en)
skos:notation
  • RIV/68407700:21230/09:00163126!RIV10-MSM-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6840770038)
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
  • 310478
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/09:00163126
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • fuzzy vector; support function; Minkowski sum (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [645D11F918ED]
http://linked.open...v/mistoKonaniAkce
  • Verona
http://linked.open...i/riv/mistoVydani
  • Heidelberg
http://linked.open...i/riv/nazevZdroje
  • Symbolic and Quantitative Approaches to Reasoning with Uncertainty
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Navara, Mirko
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000268585700060
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
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  • Springer-Verlag
https://schema.org/isbn
  • 978-3-642-02905-9
http://localhost/t...ganizacniJednotka
  • 21230
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