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. © 2012 Springer-Verlag.
Cite
CITATION STYLE
Yoshida, Y. (2012). An ordered weighted average with a truncation weight on intervals. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7647 LNAI, pp. 45–55). https://doi.org/10.1007/978-3-642-34620-0_6
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