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/10993/7707
Entropy of discrete fuzzy measures
English
Marichal, Jean-Luc[University of Liège, Belgium > Department of Management (FEGSS)]
Roubens, Marc[University of Liège, Belgium > Institute of Mathematics]
Jun-2000
Proc. 3rd Int. Workshop on Preferences and Decisions (TRENTO 2000)
Università di Trento
135-148
Yes
Yes
International
Trento
Italy
3rd Int. Workshop on Preferences and Decisions (TRENTO 2000)
from 08-06-2000 to 10-06-2000
Università di Trento, Trento
Italy
[en] entropy ; fuzzy measure ; aggregation ; Choquet integral ; Sugeno integral ; uncertain variable ; ordinal fuzzy measure
[en] The concept of entropy of a discrete fuzzy measure has been recently introduced in two different ways. A first definition was proposed by Marichal [10] in the aggregation framework, and a second one by Yager [25] in the framework of uncertain variables. We present a comparative study between these two proposals and point out their properties. We also propose a definition for the entropy of an ordinal fuzzy measure, that is, a fuzzy measure taking its values in an ordinal scale in the sense of measurement theory.
[University of Liège, Belgium > Department of Management (FEGSS)]
