Fuzzy filters of MTL-algebras

Authors:
Young Bae Jun;Yang Xu;Xiao Hong Zhang
Affiliations:
Department of Mathematics Education, Gyeongsang National University, Chinju, South Korea;Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China;Department of Mathematics, The Faculty of Science, Ningbo University, Ningbo, Zhejiang, China
Venue:
Information Sciences: an International Journal
Year:
2005

Citing 0
Cited 15

TL-filters of integral residuated l-monoids

Information Sciences: an International Journal
Applications of soft sets in ideal theory of BCK/BCI-algebras

Information Sciences: an International Journal
On v-filters and normal v-filters of a residuated lattice with a weak vt-operator

Information Sciences: an International Journal
Soft BCK/BCI-algebras

Computers & Mathematics with Applications
The pseudo-linear semantics of interval-valued fuzzy logics

Information Sciences: an International Journal
Soft set theory applied to ideals in d-algebras

Computers & Mathematics with Applications
The radical of a perfect residuated structure

Information Sciences: an International Journal
Soft p-ideals of soft BCI-algebras

Computers & Mathematics with Applications
Some types of generalized fuzzy filters of MTL-algebras

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Fuzzy soft set theory applied to BCK/BCI-algebras

Computers & Mathematics with Applications
Filters of residuated lattices and triangle algebras

Information Sciences: an International Journal
On filter theory of residuated lattices

Information Sciences: an International Journal
On fuzzy filters of pseudo BL-algebras

Fuzzy Sets and Systems
Stone-like representation theorems and three-valued filters in R0- algebras (nilpotent minimum algebras)

Fuzzy Sets and Systems
IMTLMV-filters and fuzzy IMTLMV-filters of residuated lattices

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.07

Visualization

Abstract

Characterizations of fuzzy filters in MTL-algebras are given. The fuzzy filter generated by a fuzzy set is considered. The notion of Boolean fuzzy filters and MV-fuzzy filters are introduced and related properties are investigated. A condition for a fuzzy filter to be Boolean is provided. A characterization of a Boolean fuzzy filter is given. A congruence relation on a MTL-algebra induced by a fuzzy filter is established, and we show that the set of all congruence relations induced by a fuzzy filter is a completely distributive lattice.