논문KCI 등재
$FSI$-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)
- "{\it On BCI-algebras}", pp.125~ (1980), Notes Kobe Univ
- "{\it An introduction to the theory of BCK-algebras}", 79 (1978), 1~
- "{\it Fuzzy quasi-associative ideals", (3), pp.567~581 (1996)
- "{\it Characterizations of fuzzy positiveimplicative ideals in BCK-algebras}", pp.503~ (1994)
- "{\it Fuzzy $p$-ideals in BCI-algebras}", pp.271~ (1994)
- "{\it Fuzzy commutative ideals in BCI-lgebras}"
- "{\it Sub-implicative ideals and sub-commutative ideals of BCI-algebras}", (4), pp.441~453 (2000)
- "{\it Fuzzy ideals in BCI-algebras}", (2), pp.227~237 (2001)
- "{\it Fuzzy $a$-ideals of BCI-algebras}", (1), pp.65~73 (2002), Adv. Math.
- "{\it Characterization of weakly positive implicative BCI-algebras}", pp.4~ (1994)
- "{\it Fuzzy implicative ideals of BCK-algebras}", (2), pp.243~248 (1997)
- "{\it Fuzzy" (1998)
- "{\it MV-algebras are categorically equivalent to bounded commutative BCK-algebras}", pp.889~ (1986)
관련 논문AI추천
Fuzzy sub-implicative ideals of BCI-algebras전영배대한수학회 · 대한수학회보2002 · 제39권 제2호Existence of Fuzzy Ideals with Additional Conditions in BCK/BCI-algebras박철환, 전영배한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제3호N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호On projective $BCI$-algebrasKeumseong Bang, Sun Shin Ahn대한수학회 · 대한수학회논문집2003 · 제18권 제2호On $(\alpha, \beta)$-fuzzy subalgebras of $BCK/BCI$-algebras전영배대한수학회 · 대한수학회보2005 · 제42권 제4호Cubic q-ideals of BCI-algebrasChang Su Kim, Jeong Gi Kang, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호
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