Impacto
Downloads
Downloads per month over past year
Miranda Menéndez, Pedro and Grabisch, Michel (2016) Finding the set of kadditive dominating measures viewed as a flow problem. In Information Processing and Management of Uncertainty in KnowledgeBased Systems. Communications in Computer and Information Science, 1 (610). Springer Verlag, pp. 1122. ISBN 9783319405957

PDF
250kB 
Official URL: http://link.springer.com/chapter/10.1007%2F9783319405964_2
URL  URL Type 

http://link.springer.com/  Publisher 
Abstract
n this paper we deal with the problem of obtaining the set of kadditive measures dominating a fuzzy measure. This problem extends the problem of deriving the set of probabilities dominating a fuzzy measure, an important problem appearing in Decision Making and Game Theory. The solution proposed in the paper follows the line developed by Chateauneuf and Jaffray for dominating probabilities and continued by Miranda et al. for dominating kadditive belief functions. Here, we address the general case transforming the problem into a similar one such that the involved set functions have nonnegative Möbius transform; this simplifies the problem and allows a result similar to the one developed for belief functions. Although the set obtained is very large, we show that the conditions cannot be sharpened. On the other hand, we also show that it is possible to define a more restrictive subset, providing a more natural extension of the result for probabilities, such that it is possible to derive any kadditive dominating measure from it.
Item Type:  Book Section 

Additional Information:  16th International Conference, IPMU 2016 Eindhoven, The Netherlands, June 20–24, 2016 Proceedings, Part I 
Uncontrolled Keywords:  Dominance; Fuzzy measures; Kadditivity 
Subjects:  Sciences > Mathematics > Logic, Symbolic and mathematical 
ID Code:  39276 
Deposited On:  07 Oct 2016 12:08 
Last Modified:  25 Nov 2016 08:44 
Origin of downloads
Repository Staff Only: item control page