[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.
Disciplines :
Mathematics Quantitative methods in economics & management
Author, co-author :
Marichal, Jean-Luc ; University of Liège, Belgium > Department of Management (FEGSS)
Roubens, Marc; University of Liège, Belgium > Institute of Mathematics
Language :
English
Title :
Entropy of discrete fuzzy measures
Publication date :
June 2000
Event name :
3rd Int. Workshop on Preferences and Decisions (TRENTO 2000)
Event place :
Università di Trento, Trento, Italy
Event date :
from 08-06-2000 to 10-06-2000
By request :
Yes
Audience :
International
Main work title :
Proc. 3rd Int. Workshop on Preferences and Decisions (TRENTO 2000)