论文信息 - FALLING FUZZY BCI-COMMUTATIVE IDEALS

FALLING FUZZY BCI-COMMUTATIVE IDEALS

On the basis of the theory of a falling shadow and fuzzy sets, the notion of a falling fuzzy BCI-commutative ideal of a BCI-algebra is introduced. Relations between falling fuzzy BCI-commutative ideals and falling fuzzy ideals are given. Relations between fuzzy BCI-commutative ideals and falling fuzzy BCI-commutative ideals are provided. Characterizations of a falling fuzzy BCI-commutative ideal are established, and conditions for a falling fuzzy (closed) ideal to be a falling fuzzy BCI-commutative ideal are considered.

Young Bae Jun | Seok-Zun Song

[1] Young-Bae Jun,et al. FALLING SHADOWS APPLIED TO SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS , 2012 .

[2] Young Bae Jun,et al. Fuzzifications of generalized Tarski filters in Tarski algebras , 2011, Comput. Math. Appl..

[3] Pei-Zhuang Wang,et al. Fuzzy inference relation based on the theory of falling shadows , 1993 .

[4] Young Bae Jun,et al. Fuzzy soft set theory applied to BCK/BCI-algebras , 2010, Comput. Math. Appl..

[5] Young Bae Jun,et al. Fuzzy structures of hyper-MV-deductive systems in hyper-MV-algebras , 2010, Comput. Math. Appl..

[6] Jianming Zhan,et al. Soft R0-Algebras Based on Fuzzy Sets , 2010, J. Multiple Valued Log. Soft Comput..

[7] E.Stanley Lee,et al. A Fuzzy Algebraic System Based on the Theory of Falling Shadows , 1997 .

[8] Pei-Zhuang Wang,et al. Fuzzy set operations based on the theory of falling shadows , 1993 .

[9] Young Bae Jun,et al. New types of fuzzy ideals in BCK/BCI-algebras , 2010, Comput. Math. Appl..

[10] Young Bae Jun,et al. Fuzzy positive implicative ideals of BCK-algebras based on the theory of falling shadows , 2011, Comput. Math. Appl..