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Uncertain Bonferroni Mean Operators

Authors: Zeshui Xu;

Uncertain Bonferroni Mean Operators

Abstract

The Bonferroni mean is a traditional mean type aggregation operator bounded by the max and min operators, which is suitable to aggregate the crisp data. In this paper, we consider situations where the input data are interval numbers. We develop some uncertain Bonferroni mean operators, and then combine them with the well-known ordered weighted averaging operator and Choquet integral respectively for aggregating uncertain information. We also give their applications to multi-criteria decision making under uncertainty, and finally, some possible extensions for further research are discussed. Keywords: Bonferroni mean; interval number; multi-criteria decision making; ordered weighted averaging operator; Choquet integral.

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Keywords

Electronic computers. Computer science, Bonferroni mean; interval number; multi-criteria decision making; ordered weighted averaging operator; Choquet integral., QA75.5-76.95

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
27
Average
Top 10%
Top 10%
gold