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Description
  • The existence of states and probabilities on effect algebras as logical structures when events may be non-compatible, unsharp, fuzzy or imprecise is still an open question. Only a few families of effect algebras possessing states are known. We are going to show some families of effect algebras, the existence of a pseudocomplementation on which implies the existence of states. Namely, those are Archimedean atomic lattice effect algebras, which are sharply dominating or s-compactly generated or extendable to complete lattice effect algebras.
  • The existence of states and probabilities on effect algebras as logical structures when events may be non-compatible, unsharp, fuzzy or imprecise is still an open question. Only a few families of effect algebras possessing states are known. We are going to show some families of effect algebras, the existence of a pseudocomplementation on which implies the existence of states. Namely, those are Archimedean atomic lattice effect algebras, which are sharply dominating or s-compactly generated or extendable to complete lattice effect algebras. (en)
Title
  • State smearing theorems and the existence of states on some atomic lattice effect algebras
  • State smearing theorems and the existence of states on some atomic lattice effect algebras (en)
skos:prefLabel
  • State smearing theorems and the existence of states on some atomic lattice effect algebras
  • State smearing theorems and the existence of states on some atomic lattice effect algebras (en)
skos:notation
  • RIV/00216224:14310/11:00055103!RIV12-MSM-14310___
http://linked.open...avai/riv/aktivita
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  • Z(MSM0021622409)
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  • 6
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  • 232163
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  • RIV/00216224:14310/11:00055103
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  • Non-classical logics; D-posets; effect algebras; MV-algebras; interval and order topology; states; pseudocomplementation (en)
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http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [F9614F7909CB]
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  • Journal of logic and computation
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  • 21
http://linked.open...iv/tvurceVysledku
  • Paseka, Jan
  • Riečanová, Zdenka
http://linked.open...ain/vavai/riv/wos
  • 000297376200001
http://linked.open...n/vavai/riv/zamer
issn
  • 0955-792X
number of pages
http://bibframe.org/vocab/doi
  • 10.1093/logcom/exp018
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  • 14310
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