“…As a result, the information involved in many decision making processes includes a large amount of fuzzy information, for example, the fuzzy linguistic approach intuitionistic fuzzy sets (Atanassov [1], interval-valued intuitionistic fuzzy sets (Atanassov and Gargov [2]), type-2 fuzzy sets (Dubois and Prade [3], Mizumoto and Tanaka [4]), type-n fuzzy sets (Dubois and Prade [3]), fuzzy multisets (Yager [5]), hesitant fuzzy sets (Torra and Narukawa [6]), Pythagorean fuzzy sets (Yager [7,8]), and uncertain variable sets. Especially, since the introduction of intuitionistic fuzzy sets and interval-valued intuitionistic fuzzy sets, intuitionistic fuzzy set theory has been extensively researched and applied in a wide range of fields, including similarity measures (Li and Cheng [9], Xu and Yager [10]), distance measures (Merigó et al [11][12][13], Szmidt et al [14], Tian et al [15]), linguistic decision making (Yu et al [16]), aggregation operators (Li [17], Hayat [18], Malik [19], Wang et al [20], Wang and Liu [21]), and models for multiple attribute group decision making (MAGDM) (Li [22], Nie et al [23], Peng et al [24], Yu et al [25], Zeng et al [26,27], Morente-Molinera et al [28], Idrus et al [29], Bagga et al [30], Carrasco et al [31]). On the other hand, decision information with uncertain linguistic information has also attracted a great deal of attention over the last decades.…”