Some types of generalized fuzzy filters of BL-algebras

被引：55

作者：

Zhan, Jianming ^{[1
]}

Xu, Yang ^{[2
]}

机构：

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

[2] SW Jiaotong Univ, Dept Appl Math, Chengdu 610031, Sichuan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 06期

基金：

中国国家自然科学基金;

关键词：

BL-algebra; filter; interval valued (epsilon; epsilon boolean OR q)-fuzzy Boolean (implicative positive implicative and fantastic) filter;

D O I：

10.1016/j.camwa.2008.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to introduce the notions of interval valued (epsilon, epsilon vq)-fuzzy Boolean (implicative, positive implicative and fantastic) filters in BL-algebras and to investigate some related properties. Some characterizations of these generalized fuzzy filters are derived. Finally, the relations among these generalized fuzzy filters are discussed. It is proved that an interval valued (epsilon, epsilon vq)-fuzzy filter in BL-algebras is an interval valued (epsilon, epsilon vq)-fuzzy Boolean (implicative) filter if and only if it is both an interval valued (epsilon, epsilon vq)-fuzzy positive implicative filter and an interval valued (epsilon, epsilon vq)-fuzzy fantastic filter. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1604 / 1616

页数：13

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