Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets

The aim of this paper is to study the properties of t-cut set, strong t-cut set, t-quasi-cut set, strong t-quasi-cut set and ∈ ∨q-cut set of a fuzzy set μ. For any intuitionistic fuzzy A =< μA, νA > and α, β ∈ [0, 1], we define and study the properties of upper (α, β) cut setA(α,β), strong upper (α, β) cut setA(α, β) ̇ , lower (α, β) cut set A, strong lower (α, β) cut set A (α, β) ̇ , upper (α, β)-quasi-cut set A<α,β>, strong upper (α, β)-quasi-cut setA< α, β > ̇ , lower (α, β)-quasi-cut setA, strong lower (α, β)-quasi-cut set A < α, β > ̇ and ∈ ∨q-cut set.