In this paper, we modify Chen and Han's multiattribute decision making (MADM) method (2018) to propose a novel MADM method based on the nonlinear programming (NLP) methodology, Xu's score function (SF) (2007) and Xu's accuracy function (AF) (2007) of interval-valued intuitionistic fuzzy values (IVIFV5), the membership uncertainty (MU) index (2009) and the hesitation uncertainty (HU) index (2009) of IVIFVs, and Wang et al.'s ranking method (2009) of IVIFV5. The proposed MADM method can conquer the shortcomings of Chen and Chiou's MADM method (2015), Chen and Han's MADM method (2018), Chen and Huang's MADM method (2017), Li's MADM method (2010) and Zhitao and Yingjun's MADM method (2011). (C) 2018 Elsevier Inc. All rights reserved.