New types of fuzzy ideals of BCI-algebras

作者：Ma, Xueling; Zhan, Jianming^*; Jun, Young Bae

来源：Neural Computing & Applications, 2012, 21: S19-S27.

DOI：10.1007/s00521-011-0558-x

• BCI-algebra
• (p-, q- and a-) ideal
• (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy (p-, q- and a-) ideal
• ((is an element of(gamma))over-bar, (is an element of(gamma))over-bar boolean OR(q(delta))over-bar)-(p-, q- and a-) ideal

The concepts of (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy (p-, q- and a-) ideals and ((is an element of(gamma)) over bar, (is an element of(gamma)) over bar boolean OR(q(delta)) over bar -fuzzy (p-, q- and a-) ideals in BCI-algebras are introduced. Some new characterizations are investigated. In particular, we prove that a fuzzy set mu of a BCI-algebra X is an (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy a-ideal of X if and only if it is both an (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy p-ideal and an (is an element of(gamma), is an element of(gamma) boolean OR q(delta))-fuzzy q-ideal.

• 出版日期2012-8
• 单位湖北民族大学