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JACIII Vol.17 No.4 pp. 520-525
doi: 10.20965/jaciii.2013.p0520
(2013)

Paper:

Ordered Weighted Averages on Intervals and the Sub/Super-Additivity

Yuji Yoshida

Faculty of Economics and Business Administration, University of Kitakyushu, 4-2-1 Kitagata, Kokuraminami, Kitakyushu 802-8577, Japan

Received:
February 28, 2013
Accepted:
April 12, 2013
Published:
July 20, 2013
Keywords:
OWA, subadditivity, truncation weight, monotone weight, value-at-risk
Abstract

This paper deals with continuous Ordered Weighted Averages (OWA) on a closed interval and investigates their fundamental properties. In this paper, we focus on OWA with a truncation weight and derive the subadditivity of a top-concentrated average. We then deal with OWA from the bottom and investigate their relations. The subadditivity for OWA with monotone weights is also discussed, then OWA based on probability are demonstrated and value-at-risks are explained as an example.

Cite this article as:
Yuji Yoshida, “Ordered Weighted Averages on Intervals and the Sub/Super-Additivity,” J. Adv. Comput. Intell. Intell. Inform., Vol.17, No.4, pp. 520-525, 2013.
Data files:
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