논문KCI 등재
Fuzzy sub-implicative ideals of BCI-algebras
2
조회
0
다운로드
1
인용
0
참고문헌
주제분류수학
초록
Abstract
We consider the fuzzification of sub-implicative ideals inBCI-algebras, and investigate some related properties. Wegive conditions for a fuzzy ideal to be a fuzzysub-implicative ideal. We show that (1) every fuzzysub-implicative ideal is a fuzzy ideal, but the converse isnot true, (2) every fuzzy sub-implicative ideal is a fuzzypositive implicative ideal, but the converse is not true, and(3) every fuzzy p-ideal is a fuzzy sub-implicative ideal,but the converse is not true. Using a family ofsub-implicative ideals of a BCI-algebra, we establish a fuzzysub-implicative ideal, and using a level set of a fuzzy set ina BCI-algebra, we give a characterization of a fuzzysub-implicative ideal.
관련 논문AI추천
Existence of Fuzzy Ideals with Additional Conditions in BCK/BCI-algebras박철환, 전영배한국수학교육학회 · 이론수학과 교직수학2007 · 제14권 제3호Fuzzy set theory applied to implicative ideals in $BCK$-algebras송석준, 전영배대한수학회 · 대한수학회보2006 · 제43권 제3호Fuzzy subalgebras with thresholds in BCK/BCI-algebras전영배대한수학회 · 대한수학회논문집2007 · 제22권 제2호On $(\alpha, \beta)$-fuzzy subalgebras of $BCK/BCI$-algebras전영배대한수학회 · 대한수학회보2005 · 제42권 제4호$FSI$-ideals and $FSC$-ideals of BCI-algebrasJie Meng, San Yang Liu, Yong Lin Liu대한수학회 · 대한수학회보2004 · 제41권 제1호On fuzzy subalgebras in $B$-algebrasKeumseong Bang, Sun Shin Ahn대한수학회 · 대한수학회논문집2003 · 제18권 제3호
이 간행물의 다른 논문 (16건)
The Hyers-Ulam stability of the quadratic functional equations on abelian groups정용수, 배재형pp. 199-209The range of derivations on Banach algebras김학만, 전길웅pp. 211-224Analytic solutions of a functional differential equation with proportional delaysSui Sun Cheng, Jian-Guo Sipp. 225-236Riemannian submanifolds in Lorentzian manifolds with the same constant curvatures박준상pp. 237-249M-injectivity and asymptotic behaviourH. Ansari-Toroghypp. 251-258