Reference : Aggregation on finite ordinal scales by scale independent functions

	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/10993/8774

Title :	Aggregation on finite ordinal scales by scale independent functions
Language :	English
Author, co-author :	Marichal, Jean-Luc [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
	Mesiar, Radko [Slovak University of Technology, Bratislava, Slovakia > Dept. of Mathematics and Descriptive Geometry]
Publication date :	Jul-2004
Main document title :	Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
Pages :	1243-1250
Peer reviewed :	Yes
On invitation :	No
Audience :	International
Event name :	10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004)
Event date :	from 04-07-2004 to 09-07-2004
Event place (city) :	Perugia
Event country :	Italy
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 finite 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 :	University of Luxembourg - UL
Name of the research project :	F2R-SMA-PUL-03AADC > Aide à la décision / classification > 01/01/2003 – 31/12/2004 > BISDORFF Raymond
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/8774

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