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.

Keywords