About: A generalization of the Bonferroni mean based on partitions

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The 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. The 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. (en)
Title	A generalization of the Bonferroni mean based on partitions A generalization of the Bonferroni mean based on partitions (en)
skos:prefLabel	A generalization of the Bonferroni mean based on partitions A generalization of the Bonferroni mean based on partitions (en)
skos:notation	RIV/67985556:_____/13:00399787!RIV14-GA0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP402/11/0378)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Mesiar, Radko
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	58629
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/13:00399787
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Aggregation functions; Bonferroni mean; Mandatory criteria; Decision making (en)
http://linked.open.../riv/klicoveSlovo	Aggregation functions Bonferroni mean Mandatory criteria Decision making
http://linked.open...ontrolniKodProRIV	[3F167BBB7191]
http://linked.open...v/mistoKonaniAkce	Hyderabad
http://linked.open...i/riv/mistoVydani	Piscataway
http://linked.open...i/riv/nazevZdroje	Proceedings of the 2013 IEEE International Conference on Fuzzy Systems (FUZZ 2013)
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Aggregation of knowledge and expectations in the models of mathematical economics
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Beliakov, G. James, S. Mesiar, Radko
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-07-07 (xsd:date)
issn	1098-7584
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1109/FUZZ-IEEE.2013.6622348
http://purl.org/ne...btex#hasPublisher	IEEE
https://schema.org/isbn	978-1-4799-0020-6

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