Journal of applied mathematics & informatics
- Volume 26 Issue 3_4
- /
- Pages.653-660
- /
- 2008
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
ON FP-FILTERS AND FPD-FILTERS OF LATTICE IMPLICATION ALGEBRA
- Lai, Jiajun (Intelligent Control Development Center, Southwest Jiaotong University) ;
- Xu, Yang (Intelligent Control Development Center, Southwest Jiaotong University) ;
- Chang, Zhiyan (Intelligent Control Development Center, Southwest Jiaotong University)
- Published : 2008.05.31
Abstract
In this paper, we consider the fuzzification of prime filters in Lattice Implication Algebras (briefly, LIAs), and introduce the concepts of fuzzy prime filters (briefly, FP-filters), and we also studied the properties of FP-filters. Finally, we investigate the properties of fuzzy prime dual filters (briefly, FPD-filters) in LIA, and the relations of them are investigated.