• Title/Summary/Keyword: (S-fuzzy subalgebra)

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BIPOLAR FUZZY TRANSLATIONS IN BCK/BCI-ALGEBRAS

  • Jun, Young Bae;Kim, Hee Sik;Lee, Kyoung Ja
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.3
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    • pp.399-408
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    • 2009
  • A bipolar fuzzy translation and a bipolar fuzzy S-extension of a bipolar fuzzy subalgebra in a BCK/BCI-algebra are introduced, and related properties are investigated.

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PERMEABLE VALUES AND ENERGETIC SETS IN BCK/BCI-ALGEBRAS BASED ON FUZZY POINTS

  • Song, Seok Zun;Kim, Hee Sik;Roh, Eun Hwan;Jun, Young Bae
    • Honam Mathematical Journal
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    • v.41 no.3
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    • pp.581-593
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    • 2019
  • 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.