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

Authors : Ömer AKIN, Selami BAYEĞ

Pages : 143-163

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Publication Date : 2018-12-24

Article Type : Research Paper

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