“…In the real world, there are many uncertainties and unreliabilities [1][2][3][4]. In order to deal with the uncertainties [5][6][7], many mathematical theories are proposed, such as Bayesian network [8], hyper structures [9], fuzzy sets (FS) [10][11][12], hesitant fuzzy subalgebras [13], D-S evidence theory [14][15][16], information quality [17,18], Z-number [19,20], D-number [21], entropy [22,23] and belief structure [24] and are applied in many fields [25][26][27]. Among these theories and models, the orthopair fuzzy set (OFS) [28][29][30] allows the membership degree, non-membership degree and hesitancy degree to be [0, 1] × [0, 1], which results in the orthopair fuzzy set generalization of the intuitionistic fuzzy set and Pythagorean fuzzy set and giving great freedom to the modelers of systems in order to capture human knowledge.…”