Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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PERMEABLE VALUES AND ENERGETIC SETS IN BCK/BCI-ALGEBRAS BASED ON FUZZY POINTS

  • Song, Seok Zun (Department of Mathematics, Jeju National University) ;
  • Kim, Hee Sik (Department of Mathematics, Hanyang University) ;
  • Roh, Eun Hwan (Department of Mathematics Education, Chinju National University of Education) ;
  • Jun, Young Bae (Department of Mathematics Education, Gyeongsang National University)
  • Received : 2019.01.09
  • Accepted : 2019.04.03
  • Published : 2019.09.25
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Abstract

The notions of (${\in}$, ${\in}{\vee}q$)-permeable S-value and (${\in}$, ${\in}{\vee}q$)-permeable I-value are introduced, and related properties are investigated. Relations among (${\in}$, ${\in}{\vee}q$)-fuzzy subalgebra, (${\in}$, ${\in}{\vee}q$)-fuzzy ideal, (strong) lower and (strong) upper level sets, (${\in}$, ${\in}{\vee}q$)-permeable S-value, (${\in}$, ${\in}{\vee}q$)-permeable I-value, S-energetic set, I-energetic set, right stable set and right vanished set are discussed.

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References

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