Asian Journal of Research in Social Sciences and Humanities
  • Year: 2017
  • Volume: 7
  • Issue: 3

Intuitionistic Fuzzy Implicative Filters of lattice Wajsberg algebra

*Department of Mathematics, Kongu Engineering College, Perundurai, India

**Department of Mathematics, Bharathiyar University Post Graduate Extension Centre, Erode, India

***Department of Mathematics, Kongu Engineering College, Perundurai, India

Online published on 23 March, 2017.

Abstract

Intuitionistic fuzzy implicative filter in lattice Wajsberg algebra is introduced in this paper. Some of the equivalent conditions for an intuitionistic fuzzy set to be an intuitionistic fuzzy filter are established. The relationships between Intuitionistic fuzzy implicative filter and Intuitionistic fuzzy filter are derived.

Keywords

Lattice W-algebra, Implicative Filter, Fuzzy Implicative Filter, Intuitionistic fuzzy filter, Intuitionistic fuzzy implicative filter