Paper Info
Title
Axiomatization And Construction Of Orness Measures For Aggregation Functions
Abstract
The notion of an orness measure for aggregation functions has been a relevant study subject whose history can be traced back to the early works of Dujmovic in 1973. Intuitively, an orness measure quantifies the similarity of an aggregation function to the "or" function and results in an essential tool for decision engineering, field in which the choice of aggregation function is sometimes restricted to a desired value of orness (orness-directed aggregation). In 1988, Yager presented a particular example of orness measure for ordered weighted averaging (OWA) functions and initiated a series of contributions aiming at proposing an axiomatic definition of orness measure for OWA functions. In this paper, we go much further and present an axiomatic definition of orness measure for the whole family of aggregation functions. We end by proposing two natural construction methods for an orness measure for aggregation functions. The particular examples of the (discrete) Choquet integral and uninorms are studied in detail.
Year
DOI
Venue
2021
10.1002/int.22376
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Keywords
DocType
Volume
aggregation function, orness measure, OWA function
Journal
36
Issue
ISSN
Citations 
5
0884-8173
0
PageRank 
References 
Authors
0.34
0
7
Name
Order
Citations
PageRank
Raúl Pérez-Fernández13813.47
G. Ochoa2244.19
susana montes3314.93
Irene Díaz413925.16
Javier Fernandez578246.37
Daniel Paternain623726.18
Humberto Bustince71938134.10