The Concept of Hukuhara Derivative and Aumann Integral for Intuitionistic Fuzzy Number Valued Functions

Abstract

In this paper we have rstly dened a metric based on the Hausdor metric in intuitionistic fuzzy environment and studied its properties. Then we have proved that the metric space of intuitionistic fuzzy number valued functions is complete under this metric. Besides, we have studied the concept of Aumann integral for intuitionistic fuzzy number valued functions in terms of ???? and ???? cuts. Finally, we have given the relation between the Hukuhara derivative and Aumann integral for intuitionistic fuzzy valued functions by using the fundamental theorem of calculus