Canonical form of ordered weighted averaging operators

LeSheng Jin (), Radko Mesiar (), Martin Kalina () and Ronald R. Yager ()
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LeSheng Jin: Nanjing Normal University
Radko Mesiar: Slovak University of Technology
Martin Kalina: Slovak University of Technology
Ronald R. Yager: Iona College

Annals of Operations Research, 2020, vol. 295, issue 2, No 5, 605-631

Abstract: Abstract Discrete Ordered Weighted Averaging (OWA) operators as one of the most representative proposals of Yager (1988) have been widely used and studied in both theoretical and application areas. However, there are no effective and systematic corresponding methods for continuous input functions. In this study, using the language of measure (capacity) space we propose a Canonical Form of OWA operators which yield some common properties like Monotonicity and Idempotency and thus serve as a generalization of Discrete OWA operators. We provide also a representation of the Canonical Form by means of asymmetric Choquet integrals. The Canonical Form of OWA operators can effectively handle some input functions defined on ordered sets.

Keywords: Aggregation function; OWA operator; Uncertain information; Measure of orness; Canonical form of OWA operator; 28E10; 90B99 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10479-020-03802-6

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