Aggregation on finite ordinal scales (Tutorial)

Reference : Aggregation on finite ordinal scales (Tutorial)


	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics Business & economic sciences : Quantitative methods in economics & management
	To cite this reference:	http://hdl.handle.net/10993/8756

Title :	Aggregation on finite ordinal scales (Tutorial)
Language :	English
Author, co-author :	Marichal, Jean-Luc [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
Publication date :	Jul-2003
Main document title :	Proc. 2nd Int. Summer School on Aggregation Operators and their Applications (AGOP 2003), Alcalá de Henares (Madrid), Spain, July 14-18, 2003
Pages :	177-186
Peer reviewed :	Yes
On invitation :	Yes
Audience :	International
Event name :	2nd Int. Summer School on Aggregation Operators and their Applications (AGOP 2003)
Event date :	from 14-07-2003 to 18-07-2003
Event place (city) :	Alcalá de Henares (Madrid)
Event country :	Spain
Keywords :	[en] aggregation functions ; finite ordinal scales ; order invariant functions ; smooth discrete functions ; lattice polynomials
Abstract :	[en] We give an interpretation of order invariant functions as scale independent functions for the aggregation on ¯nite ordinal scales. More precisely, we show how order invariant functions can act, through discrete representatives, on ordinal scales represented by finite chains. In particular, this interpretation allows us to justify the continuity property for certain order invariant functions in a natural way.
Funders :	Brigham Young University, Utah (USA) ; University of Luxembourg - UL
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/8756

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	File	Commentary	Version	Size	Access
Open access	AggregationOrdinalScalesAGOP2003.pdf		Author postprint	178.41 kB	View/Open
Open access	PV-AggregationOrdinalScalesAGOP2003.pdf		Publisher postprint	2.46 MB	View/Open

Additional material(s):

	File	Commentary	Size	Access
Private access	AGOP(Transparencies).pdf	Slides	324.06 kB	Request a copy
Private access	AGOP(Transparencies)(2).pdf	Slides	385.93 kB	Request a copy
Open access	Program.pdf	Program	407.33 kB	View/Open

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