Uni-Soft Commutative Ideals and Closed Uni-Soft Ideals in BCI-Algebras

The notions of uni-soft commutative ideals and closed uni-soft ideals in BCI-algebras are introduced, and related properties are investigated. Conditions for a uni-soft ideal to be closed are provided. Relations between a uni-soft ideal and a uni-soft commutative ideal are investigated. Conditions for a uni-soft ideal to be a uni-soft commutative ideal are provided. A new uni-soft commutative ideal from an old one is constructed.

[1]  Naim Çagman,et al.  Soft set theory and uni-int decision making , 2010, Eur. J. Oper. Res..

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

[3]  Young Bae Jun,et al.  Pseudo d-algebras , 2009, Inf. Sci..

[4]  Young Bae Jun,et al.  Soft ordered semigroups , 2010, Math. Log. Q..

[5]  Jianming Zhan,et al.  Soft p-ideals of soft BCI-algebras , 2009, Comput. Math. Appl..

[6]  Young Bae Jun,et al.  Soft semirings , 2008, Comput. Math. Appl..

[7]  Y. Jun.  UNION-SOFT SETS WITH APPLICATIONS IN BCK/BCI-ALGEBRAS , 2013 .

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

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

[10]  Bekir Tanay,et al.  Computers and Mathematics with Applications , 2022 .

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

[12]  Young Bae Jun,et al.  Soft sets and soft rough sets , 2011, Inf. Sci..

[13]  Y. Jun,et al.  SOFT WS-ALGEBRAS , 2008 .

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

[15]  Aslihan Sezgin Sezer,et al.  Soft substructures of rings, fields and modules , 2011, Comput. Math. Appl..

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