Title :
(s,t]-fuzzy filters of BCK-algebras
Author_Institution :
Key Lab. of Numerical Simulation of Sichuan Province, Neijiang Normal Univ., Neijiang, China
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;
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
DOI :
10.1109/ICCDA.2010.5540982
