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$FSI$-ideals and $FSC$-ideals of BCI-algebras

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Abstract

The notions of FSI-ideals and FSC-ideals in BCI-algebras areintroduced. The characterization properties of FSI-ideals andFSC-ideals are obtained. We investigate the relations betweenFSI-ideals (resp. FSC-ideals) and other fuzzy ideals, betweenFSI-ideals (resp. FSC-ideals) and BCI-algebras, and show thata fuzzy subset of a BCI-algebra is an FSI-ideal if and only ifit is both an FSC-ideal and a fuzzy BCI-positive implicativeideal.

참고문헌 (13)

  1. "{\it On BCI-algebras}", pp.125~ (1980), Notes Kobe Univ
  2. "{\it An introduction to the theory of BCK-algebras}", 79 (1978), 1~
  3. "{\it Fuzzy quasi-associative ideals", (3), pp.567~581 (1996)
  4. "{\it Characterizations of fuzzy positiveimplicative ideals in BCK-algebras}", pp.503~ (1994)
  5. "{\it Fuzzy $p$-ideals in BCI-algebras}", pp.271~ (1994)
  6. "{\it Fuzzy commutative ideals in BCI-lgebras}"
  7. "{\it Sub-implicative ideals and sub-commutative ideals of BCI-algebras}", (4), pp.441~453 (2000)
  8. "{\it Fuzzy ideals in BCI-algebras}", (2), pp.227~237 (2001)
  9. "{\it Fuzzy $a$-ideals of BCI-algebras}", (1), pp.65~73 (2002), Adv. Math.
  10. "{\it Characterization of weakly positive implicative BCI-algebras}", pp.4~ (1994)
  11. "{\it Fuzzy implicative ideals of BCK-algebras}", (2), pp.243~248 (1997)
  12. "{\it Fuzzy" (1998)
  13. "{\it MV-algebras are categorically equivalent to bounded commutative BCK-algebras}", pp.889~ (1986)

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