论文信息 - SOFT IDEALS IN SOFT BCC-ALGEBRAS

SOFT IDEALS IN SOFT BCC-ALGEBRAS

Soft set theory by Molodtsov is applied to ideals in BCC-algebras. The notion of soft BCC-ideals of soft BCC-algebras and idealistic soft BCC-algebras are introduced, and several examples are provided. Relations between a fuzzy BCC-ideal and an idealistic soft BCC-algebra are given, and the characterization of idealistic soft BCC-algebras is established.

Young Bae Jun | Kyoung Ja Lee

[1] Chyi Hwang,et al. An FFT-based algorithm for 2D power series expansions , 1999 .

[2] Young Bae Jun,et al. Applications of soft sets in ideal theory of BCK/BCI-algebras , 2008, Inf. Sci..

[3] A. R. Roy,et al. An application of soft sets in a decision making problem , 2002 .

[4] Lotfi A. Zadeh,et al. Fuzzy Sets , 1996, Inf. Control..

[5] Young Bae Jun,et al. Soft set theory applied to ideals in d-algebras , 2009, Comput. Math. Appl..

[6] Naim Çagman,et al. Soft sets and soft groups , 2007, Inf. Sci..

[7] A. R. Roy,et al. Soft set theory , 2003 .

[8] W. Dudek,et al. Fuzzy BCC-ideals in BCC-algebras , 1999 .

[9] L. A. Zadeh,et al. From Circuit Theory to System Theory , 1962, Proceedings of the IRE.

[10] D. Molodtsov. Soft set theory—First results , 1999 .

[11] Young Bae Jun,et al. Soft BCK/BCI-algebras , 2008, Comput. Math. Appl..

[12] W. Dudek,et al. On ideals and congruences in bcc-algebras , 1998 .

[13] Eric C. C. Tsang,et al. The parameterization reduction of soft sets and its applications , 2005 .

[14] Lotfi A. Zadeh,et al. Toward a generalized theory of uncertainty (GTU)--an outline , 2005, Inf. Sci..