The concept of Hukuhara Derivative and Aumann Integrals for Intuitionistic fuzzy number valued functions

Year 2018, Volume: 6 Issue: 2, 143 - 163, 24.12.2018

Ömer Akın , Selami Bayeğ

Abstract

In this paper we have frstly defned a metric in intuitionistic fuzzy environment and studied its properties. Then we have proved that the metric space of fuzzy number valued functions is complete under this metric. We have studied the concept of Aumann integration for intuitionistic fuzzy number valued functions in terms of α and β cuts. We have given the relation between Hukuhara derivative and Aumann integral for intuitionistic fuzzy valued functions by using the fundamental theorem of calculus.  

Keywords

Intuitionistic fuzzy sets, Intuitionistic fuzzy valued functions, Hukuhara differentiability, Aumann integral, Intuitionistic Hausdorff metric

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