L-valued Intuitionistic L-fuzzy Generalised Lattices of the Type 3

Abstract

This article deals with the concept of L-valued intuitionistic L-fuzzy subgeneralised lattice of the type 3 (IFsubgl of type 3) of a generalised lattice. Introduced the concepts L-valued intuitionistic L-fuzzy subgeneralised lattice of the type 3 (IFsubgl of type 3), L-valued intuitionistic L-fuzzy ideal of the type 3 (IFideal of type 3), L-valued intuitionistic L-fuzzy filter of the type 3 (IFfilter of type 3), L-valued intuitionistic L-fuzzy prime ideal of the type 3 (IF prime ideal of type 3), L-valued intuitionistic L-fuzzy prime filter of the type 3 (IF prime filter of type 3) and L-valued intuitionistic L-fuzzy convex subgeneralised lattice of the type 3 (IF convex subgl of type 3) of a generalised lattice. Characterized them by their $(\alpha, \beta)-$level subsets, discussed some equivalent conditions and their intersections.