DocumentCode
525246
Title
(s,t]-fuzzy filters of BCK-algebras
Author
Jiayin, Peng
Author_Institution
Key Lab. of Numerical Simulation of Sichuan Province, Neijiang Normal Univ., Neijiang, China
Volume
3
fYear
2010
fDate
25-27 June 2010
Abstract
The definitions of (∈,∈vq)-fuzzy filter and (β̅,α̅)-fuzzy filter, and four new (β̅,α̅)-fuzzy filters are acquired. As a generalization of fuzzy BCK-filter, (∈,∈vq) -fuzzy filter and (∈,∈̅vq̅) -fuzzy filter, we give the definition of (s,t]-fuzzy filter with thresholds. The relations between these fuzzy filters and their level filters are discussed, some proposed are studied, and their equivalent descriptions are given. How to deal with the homomorphic image and inverse image of (s,t]-fuzzy filters are investigated.
Keywords
algebra; fuzzy set theory; BCK-algebra; fuzzy filter; homomorphic image; inverse image; level filters; Algebra; Filtering theory; Fuzzy logic; Fuzzy sets; Information filtering; Information filters; Information science; Laboratories; Mathematics; Numerical simulation; (β̄,ᾱ)-fuzzy filter; (∈,∈∨q) -fuzzy filter; BCK-algebra; fuzzy BCK-filter; lever filter;
fLanguage
English
Publisher
ieee
Conference_Titel
Computer Design and Applications (ICCDA), 2010 International Conference on
Conference_Location
Qinhuangdao
Print_ISBN
978-1-4244-7164-5
Electronic_ISBN
978-1-4244-7164-5
Type
conf
DOI
10.1109/ICCDA.2010.5540982
Filename
5540982
Link To Document