Interval valued (∈, ∈ V q)-fuzzy filters of pseudo BL-algebras

被引：0

作者：

Zhan, Jianming ^{[1
]}

Dudek, Wieslaw A. ^{[2
]}

Jun, Young Bae ^{[3
]}

机构：

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

[2] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

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

来源：

SOFT COMPUTING | 2009年 / 13卷 / 01期

关键词：

pseudo BL-algebra; filter; interval valued (is an element of; is an element of V q)-fuzzy filter; fuzzy logic; implication operator; MV-ALGEBRAS; FUZZY-SETS; SUBGROUPS; IDEALS; RINGS;

D O I：

10.1007/s00500-008-0288-x

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We introduce the concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set. By using this new idea, we introduce the notions of interval valued (is an element of, is an element of V q)-fuzzy filters of pseudo BL-algebras and investigate some of their related properties. Some characterization theorems of these generalized interval valued fuzzy filters are derived. The relationship among these generalized interval valued fuzzy filters of pseudo BL-algebras is considered. Finally, we consider the concept of implicationbased interval valued fuzzy implicative filters of pseudo BL-algebras, in particular, the implication operators in Lukasiewicz system of continuous-valued logic are discussed.

引用

页码：13 / 21

页数：9

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