Open AccessOrdered Weighted Averages on Intervals and the Sub/Super-Additivity
Author(s) -
Yūji Yoshida
Publication year - 2013
Publication title -
journal of advanced computational intelligence and intelligent informatics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.172
H-Index - 20
eISSN - 1343-0130
pISSN - 1883-8014
DOI - 10.20965/jaciii.2013.p0520
Subject(s) - subadditivity , additive function , monotone polygon , truncation (statistics) , interval (graph theory) , computer science , mathematics , focus (optics) , mathematical optimization , discrete mathematics , statistics , combinatorics , mathematical analysis , physics , geometry , optics
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.
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