New types of fuzzy ideals of BCI-algebras

被引：7
作者：
Ma, Xueling [1 ]
Zhan, Jianming [1 ]
Jun, Young Bae [2 ]
机构：
[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei Province, Peoples R China
[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
来源：
NEURAL COMPUTING & APPLICATIONS | 2012年 / 21卷
基金：
中国国家自然科学基金;
关键词：
BCI-algebra; (p-; q- and a-) ideal; (is an element of(gamma); is an element of(gamma) boolean OR q(delta))-fuzzy (p-; ((is an element of(gamma))over-bar; (is an element of(gamma))over-bar boolean OR(q(delta))over-bar)-(p-; (IS-AN-ELEMENT-OF;
D O I：
10.1007/s00521-011-0558-x
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
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.
引用
收藏
页码：S19 / S27
页数：9
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