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A generalization of the Bonferroni mean based on partitions
conference contribution
posted on 2013-01-01, 00:00 authored by Gleb BeliakovGleb Beliakov, Simon JamesSimon James, M RadkoThe mean defined by Bonferroni in 1950 (known by the same name) averages all non-identical product pairs of the inputs. Its generalizations to date have been able to capture unique behavior that may be desired in some decision-making contexts such as the ability to model mandatory requirements. In this paper, we propose a composition that averages conjunctions between the respective means of a designated subset-size partition. We investigate the behavior of such a function and note the relationship within a given family as the subset size is changed. We found that the proposed function is able to more intuitively handle multiple mandatory requirements or mandatory input sets.
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Event
IEEE International Conference on Fuzzy Systems (2013 : Hyderabad, India)Publisher
IEEE Computational Intelligence SocietyLocation
Hyderabad, IndiaPlace of publication
Piscataway, N.J.Publisher DOI
Start date
2013-07-07End date
2013-07-10ISBN-13
9781479900220Language
engPublication classification
E1 Full written paper - refereedCopyright notice
2013, IEEETitle of proceedings
FUZZ-IEEE 2013 : Proceedings of the IEEE International Conference on Fuzzy SystemsUsage metrics
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