An ordered weighted average with a truncation weight on intervals

Authors:
Yuji Yoshida
Affiliations:
Faculty of Economics and Business Administration, University of Kitakyushu, Kitakyushu, Japan
Venue:
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
Year:
2012

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Abstract

This paper deals with ordered weighted averages on a closed interval, and their fundamental properties are investigated. In this paper we focus on ordered weighted average with a truncation weight, and the sub-additivity of a top-concentrated average is derived. Several examples are given to understand the idea. Further we deal with ordered weighted average from the bottom, and their relations are investigated. Finally, ordered weighted averages based on a probability are discussed and value-at-risks are explained as their example.