• Title/Summary/Keyword: BCI-algebras

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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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INTUITIONISTIC FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS

  • Hong, Sung-Min;Kim, Kyung-Ho;Jun, Young-Bae
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.261-272
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    • 2001
  • The intuitionistic fuzzification of a subalgebra in a BCK/BCI-algebra is considered, and related results are investigated. The notion of equivalence relations on the family of all intuitionistic fuzzy subalgebras of a BCK/BCI-algebra is introduced, and then some properties are discussed.

FUZZY IDEALS OF PSEUDO BCI-ALGEBRAS

  • Lee, Kyoung-Ja
    • Journal of applied mathematics & informatics
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    • v.27 no.3_4
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    • pp.795-807
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    • 2009
  • The concepts of fuzzy pseudo ideals (resp. fuzzy pseudo p-ideals, associative fuzzy pseudo ideals, fuzzy pseudo q-ideals and fuzzy pseudo a-ideals) in a pseudo BCI-algebra are introduced, and related properties are investigated. Conditions for a fuzzy pseudo ideal to be a fuzzy pseudo p-ideal (resp. fuzzy pseudo q-ideal) are provided. A characterization and properties of an associative fuzzy pseudo ideal are given.

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