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EQ-algebras with internal states

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Publication:1797925
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DOI10.1007/s00500-017-2754-9zbMath1398.03221OpenAlexW2741392799MaRDI QIDQ1797925

Wei Wang, Jun Tao Wang, Xiao Long Xin

Publication date: 22 October 2018

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-017-2754-9


zbMATH Keywords

representable\(\sigma\)-co-annihilatorS-filterS-prefilterSEQ-algebra


Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) Other algebras related to logic (03G25)


Related Items (3)

Ideal theory on EQ-algebras ⋮ State theory on bounded hyper EQ-algebras ⋮ \(n\)-Fold Filters of EQ-Algebras



Cites Work

  • On good EQ-algebras
  • State BL-algebras
  • On state residuated lattices
  • State morphism MV-algebras
  • On fuzzy type theory
  • Every state on semisimple MV-algebra is integral
  • MV-algebras with internal states and probabilistic fuzzy logics
  • Representable good EQ-algebras
  • State-morphism MV-algebras
  • EQ-algebras
  • Averaging the truth-value in Łukasiewicz logic
  • The lattice of prefilters of an EQ-algebra
  • On the existence of states on MTL-algebras
  • State BCK-algebras and state-morphism BCK-algebras.
  • States on EQ-algebras
  • On some classes of state-morphism MV-algebras
  • States on pseudo MV-algebras
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