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The concept of hesitant triangular intuitionistic fuzzy sets (HTIFSs) presented in this paper is based upon hesitant fuzzy sets and triangular intuitionistic fuzzy numbers (TIFNs). We have developed some hesitant triangular intuitionistic fuzzy aggregation operators and standardized hesitant triangular intuitionistic fuzzy aggregation operators. Inspired by Li et al. [D.-Q. Li, W.Y. Zeng, Y.-B. Zhao, Inform. Sci., 321 (2015), 103–115], the distance measures of hesitant triangular intuitionistic fuzzy sets are given, in order to explore the applications of which we have proposed three methods of multi-attribute decision making (MADM) problems, as well as analysis of the comparison between those methods, thus we give an example to illustrate these methods’ applicability and availability. c ©2017 All rights reserved.

Hesitant triangular intuitionistic fuzzy information and its application to multi-attribute decision making problem