“…Triangular fuzzy set The operation rules in Reference [108] Trapezoidal fuzzy set The operation rule in Reference [100] Gray set The operation rules in Reference [109] Intuitionistic fuzzy set The operation rules in Reference [90] Interval-valued triangular fuzzy set The operation rules in Reference [110] Interval-valued Intuitionistic fuzzy set The operation rules in Reference [111] Interval-valued Pythagorean fuzzy set The operation rules in Reference [112] Hesitant fuzzy linguistic term set The operation rules in Reference [113] Interval type-2 hesitant fuzzy set The operation rules in Reference [114] Rough set The operation rules in Reference [115] Probability multivalued neutrosophic set The operation rules in Reference [116] Z-number The operation rules in Reference [117] Picture fuzzy set The operation rules in Reference [118] information, some researchers converted the linguistic variables to triangular fuzzy number 23,27,29,31,34,41,43,46,48,50,51,60,70,72,76,80,82,84 some converted linguistic variables to gray numbers, 42,58,104 some converted the linguistic variables to rough numbers. 106 In addition, combining with the situation that experts are usually hesitant when giving their evaluations, Liao et al 8 extended the ARAS method to hesitant fuzzy linguistic environment and proposed a BWM-ARAS framework for finance supplier selection in digital supply chain, in which they used the operation rules for hesitan...…”