Interval-valued intuitionistic trapezoidal fuzzy number and its application

In this paper, we propose the new type of fuzzy number, intuitionistic trapezoidal fuzzy number(ITFN) and interval-valued intuitionistic trapezoidal fuzzy number(IVITFN), study some properties of them, and investigate some algebraic operations between two IVITFNs. We also present the sorting criteria for IVITFN based on its definition. Finally, we use our proposed IVITFN and algebraic operation to assess production line, the experiment results show that our proposed method is effective and available.