Title :
On filters of pseudo MTL-algebras
Author_Institution :
Dept. of Appl. Math., Xi´an Shiyou Univ., Xi´an, China
Abstract :
We investigate the properties of filters in pseudo MTL-algebras and discuss the relations among several kinds of filters in pseudo MTL-algebras. By further investigating the structure of Boolean and normal filter of pseudo MTL-algebras, we give a positive answer to an open problem that in pseudo BL-algebras whether every Boolean filter is a normal filter.
Keywords :
Boolean algebra; fuzzy logic; Boolean filter; normal filter; pseudo BL-algebras; pseudo MTL-algebra filters; Filtering theory; Fuzzy logic; Fuzzy sets; Genetics; Lattices; Booleanfilter; Nonclassicallogics; filter; normalfilter; pseudo MTL-algebras; pseudoBL-algebras;
Conference_Titel :
Mechatronic Science, Electric Engineering and Computer (MEC), 2011 International Conference on
Conference_Location :
Jilin
Print_ISBN :
978-1-61284-719-1
DOI :
10.1109/MEC.2011.6025617
