On characterizations of generalized fuzzy ideals of BCI-algebras

被引：4

作者：

Zhan, Jianming ^{[1
]}

Liu, Yong Lin ^{[2
]}

Jun, Young Bae ^{[3
]}

机构：

[1] Hubei Inst Nationalities, Dept Math, Enshi 445000, Hubei Province, Peoples R China

[2] Wuyi Univ, Dept Math, Wuyishan 354300, Peoples R China

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2009年 / 86卷 / 12期

基金：

中国国家自然科学基金;

关键词：

BCI-algebra; sub-implicative(resp; sub-commutative and positive implicative)-ideal; q)-FSI (FSC and FPI)-ideal; fuzzy logic; implication operator;

D O I：

10.1080/00207160902795601

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this study is to introduce the notions of (,q)-FSI-ideals and (,q)-FSC-ideals of BCI-algebras and to investigate some of their related properties. Some characterization theorems of these generalized fuzzy ideals are derived. The relationship among these generalized fuzzy ideals of BCI-algebras is considered. We show that a fuzzy set of a BCI-algebra is an (,q)-FSI-ideal if and only if it is both an (,q)-FSC-ideal and an (,q)-FPI-ideal. Finally, we consider the concepts of implication-based FSI (resp., FSC)-ideals of BCI-algebras.

引用

页码：1989 / 2007

页数：19

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