MJEN MANAS Journal of Engineering 1694-7398 1694-7398 Kırgızistan Türkiye Manas Üniversitesi Mühendislik Engineering The concept of Hukuhara Derivative and Aumann Integrals for Intuitionistic fuzzy number valued functions Department of Mathematics, TOBB University of Economics and Technology, Ankara, Turkey Kyrgyz – Turkish Manas University, Faculty of Science, Department of Applied Mathematics and Informatics, Bishkek, Kyrgyzstan Department of Mathematics, TOBB University of Economics and Technology, Ankara, Turkey 12 24 2018 6 2 143 163 11 14 2018 12 11 2018

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.

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