Intuitionistic (α, β)-fuzzy Hv-submodules

Abstract

The notion of intuitionistic fuzzy sets was introduced by Atanassov as ageneralization of the notion of fuzzy sets. Using the notion of “belongingness (∈)”and “quasi-coincidence (q)” of fuzzy points with fuzzy sets, we introduce the conceptof an intuitionistic (α, β)-fuzzy Hv-submodules of an Hv-modules, where α ∈ {∈, q},β ∈ {∈, q, ∈ ∨q, ∈ ∧q} and, then we investigate the basic properties of these notions.