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

页码：S19 / S27

页数：9

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