Extended and infinite ordered weighted averaging and sum operators with numerical examples

Document Type: Research Paper

Authors

1 College of Science, Nanjing Forestry University, Nanjing, China

2 Development Committee, Nanjing Normal University, Nanjing, China

3 Faculty of Civil Engineering, Slovak University of Technology, Radlinskho 11, Czech Republic

4 Machine Intelligence Institute, Iona College, New Rochelle, NY 10801

5 School of Management, Wuhan University of Technology, Wuhan, China

6 Business School, Nanjing Normal University, Nanjing, China

10.22111/ijfs.2020.5346

Abstract

This study discusses some variants of Ordered Weighted
Averaging (OWA) operators and related information aggregation methods. In
detail, we define the Extended Ordered Weighted Sum (EOWS) operator and the
Extended Ordered Weighted Averaging (EOWA) operator, which are applied in
scientometrics evaluation where the preference is over finitely many
representative works. As contrast, we also define the Infinite Ordered
Weighted Sum (InOWS) operator and the Infinite Ordered Weighted Averaging
(InOWA) operator, which are more suitable for the corresponding
scientometrics evaluation where all of works of scholars are considered. We
also define the family of Infinite Gaussian maxitive OWA weights function
and the family of Infinite Gaussian OWA weights function, and discuss some
of their mathematical properties. Some illustrative examples, comparisons
and figures are provided to better expound their applicability in
scientometrics evaluation.

Keywords