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Residuated EQ-algebras may not be residuated lattices

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Publication:2041255
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DOI10.1016/j.fss.2019.04.012zbMath1465.03097OpenAlexW2938458662WikidataQ128115571 ScholiaQ128115571MaRDI QIDQ2041255

Xiao Long Xin

Publication date: 16 July 2021

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2019.04.012


zbMATH Keywords

residuated latticeEQ-algebraresiduated meet semilattice monoid


Mathematics Subject Classification ID

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


Related Items (2)

State theory on bounded hyper EQ-algebras ⋮ On bounded residuated \(\ell\)EQ-algebras



Cites Work

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  • On good EQ-algebras
  • On fuzzy type theory
  • Representable good EQ-algebras
  • EQ-algebras
  • Mathematics behind fuzzy logic
  • Metamathematics of fuzzy logic
  • The lattice of prefilters of an EQ-algebra
  • Algebraic Analysis of Many Valued Logics
  • On Fuzzy Logic II. Enriched residuated lattices and semantics of propositional calculi
  • Implicative and positive implicative prefilters of EQ-algebras
  • Non-Commutative Residuated Lattices


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