L-valued Intuitionistic L-fuzzy Generalised Lattice Ordered Groups of the Type 3

Abstract

A generalised lattice ordered group (gl-group) is a system in which the underlying set is a generalised lattice as well as a group. This article deals with the concept of L-valued intuitionistic L-fuzzy gl-subgroup of the type 3 (IFgl-subgroup of type 3) of a gl-group. Introduced the concept L-valued intuitionistic L-fuzzy gl-subgroup of the type 3 (IFgl-subgroup of type 3) of a gl-group and characterized by the level subsets and discussed some equivalent conditions. Finally proved that intersection of any family of L-valued intuitionistic L-fuzzy gl-subgroups of the type 3 (IFgl-subgroups of type 3) of a gl-group is again an IFgl-subgroup of type 3.