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  • An appropriate definition of a conditional probability on an MV-algebra was an open problem mentioned in Riecan and Mundici (Handbook of Measure Theory, North-Holland, Amsterdam, 2002). We propose some concept of conditional probability (state) on a a-complete MV-algebra with product. Its basic properties will be proven and it will also be demonstrated that the conditional probability in classical probability theory is a special case of this definition. Moreover, the paper contains also a discussion of the interpretation of fuzzy sets and conditioning in fuzzy probability theory.
  • An appropriate definition of a conditional probability on an MV-algebra was an open problem mentioned in Riecan and Mundici (Handbook of Measure Theory, North-Holland, Amsterdam, 2002). We propose some concept of conditional probability (state) on a a-complete MV-algebra with product. Its basic properties will be proven and it will also be demonstrated that the conditional probability in classical probability theory is a special case of this definition. Moreover, the paper contains also a discussion of the interpretation of fuzzy sets and conditioning in fuzzy probability theory. (en)
Title
  • Conditional probability on MV-algebras
  • Conditional probability on MV-algebras (en)
skos:prefLabel
  • Conditional probability on MV-algebras
  • Conditional probability on MV-algebras (en)
skos:notation
  • RIV/68407700:21230/05:00172531!RIV11-MSM-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA2075302), S, Z(AV0Z10750506), Z(MSM 212300013)
http://linked.open...iv/cisloPeriodika
  • 2
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
  • 516171
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/05:00172531
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • probability on MV-algebras; Lukasiewicz tribe (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [7D9910BCE5D7]
http://linked.open...i/riv/nazevZdroje
  • Fuzzy Sets and Systems
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
  • 149
http://linked.open...iv/tvurceVysledku
  • Kroupa, Tomáš
http://linked.open...n/vavai/riv/zamer
issn
  • 0165-0114
number of pages
http://localhost/t...ganizacniJednotka
  • 21230
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