Power-Geometric Operators and Their Use in Group Decision Making

By Zeshui Xu, Ronald R. Yager. IEEE transactions on fuzzy systems, 2010

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Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators (2011, methodology): “Based on the PA operator and the geometric mean, Xu and Yager [24] further defined a power geometric (PG) operator:”
Pythagorean fuzzy power aggregation operators in multiple attribute decision making (2018, neutral): “Utilize Equations (45)–47 to calculate the weight ξij(i = 1, 2, 3, 4, 5, j = 1, 2, 3, 4) associated with the PFN ?̃?ij(i = 1, 2, 3, 4, 5, j = 1, 2, 3, 4), which are contained in the matrix ?̃? = (rij)5×4.”
Some q‐Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple‐Attribute Decision Making (2018, background): “For example, Yager and Abbasov 26 studied the relationship between the Pythagorean fuzzy numbers (PFNs) and the complex numbers.”
Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making (2013, methodology): “(6) A POWG [59] operator is a mapping POWG: R ? R, which is given by the following formula: POWGða1; a2; .”
Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making (2011, methodology): “Yager (2001) introduced the power average to provide an aggregation operator which allows argument values to support each other in the aggregation process, based on which, Xu and Yager (2010) developed a power geometric operator and its weighted form, developed a power ordered geometric operator a”