Abstract
This study demonstrates or proposes some new properties and representation methods for Ordered Weighted Averaging (OWA) operators. The interweaving representation allows some well-known OWA operators to be decomposed into two other well-known OWA operators. A theorem is proposed for determining the relations between OWA operators with respect to their degree of orness/andness. We also provide a complex iteration method for well-known OWA operators, as well as some new generation methods and possible adjustment methods for well-known Centered OWA operators. Furthermore, we investigate some new methods for generating Step OWA and orlike/andlike window OWA operators, where these methods are accurate in terms of their orness/andness degree. We also demonstrate two interesting and useful properties of OWA operators, i.e., Stage OWA and Dew OWA, and one of their applications.
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