A Study of (α,β)-Intuitionistic Fuzzy Orders

Abstract

In this work, we establish some properties of (α, β)-intuitionistic fuzzy order relations. Firstly, we prove that the infimum of any family of (mathbbα, mathbbβ)-intuitionistic fuzzy orders defined on a non-empty set mathcal X is also an (α, β)-intuitionistic fuzzy order on it. Secondly, we present a characterization of a class of total (α, β)-intuitionistic fuzzy order relations compatibles with the usual algebraic structures on the real line ℝ.