Extended and infinite ordered weighted averaging and sum operators with numerical examples
نویسندگان
1 School of Management, Wuhan University of Technology, Wuhan, China
2 Business School, Nanjing Normal University, Nanjing, China
3 Business School, Nanjing Normal University, Nanjing, China
4 College of Science, Nanjing Forestry University, Nanjing, China
5 Development Committee, Nanjing Normal University, Nanjing, China
6 Faculty of Civil Engineering, Slovak University of Technology, Radlinskho 11, Czech Republic
7 Machine Intelligence Institute, Iona College, New Rochelle, NY 10801
doi
10.22111/ijfs.2020.5346چکیده
This study discusses some variants of Ordered WeightedAveraging (OWA) operators and related information aggregation methods. Indetail, we define the Extended Ordered Weighted Sum (EOWS) operator and theExtended Ordered Weighted Averaging (EOWA) operator, which are applied inscientometrics evaluation where the preference is over finitely manyrepresentative works. As contrast, we also define the Infinite OrderedWeighted Sum (InOWS) operator and the Infinite Ordered Weighted Averaging(InOWA) operator, which are more suitable for the correspondingscientometrics evaluation where all of works of scholars are considered. Wealso define the family of Infinite Gaussian maxitive OWA weights functionand the family of Infinite Gaussian OWA weights function, and discuss someof their mathematical properties. Some illustrative examples, comparisonsand figures are provided to better expound their applicability inscientometrics evaluation.
