Reference : Aggregation on finite ordinal scales by scale independent functions
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Physical, chemical, mathematical & earth Sciences : Mathematics
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/10993/8774
Aggregation on finite ordinal scales by scale independent functions
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Law, Economics and Finance > Applied Mathematics Unit (SMA)]
Mesiar, Radko mailto [Slovak University of Technology, Bratislava, Slovakia > Dept. of Mathematics and Descriptive Geometry]
Jul-2004
Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
1243-1250
Yes
No
International
10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004)
from 04-07-2004 to 09-07-2004
Perugia
Italy
[en] aggregation functions ; finite ordinal scales ; order invariant functions ; smooth discrete functions ; lattice polynomials
[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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/8774

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