peer reviewedThis paper introduces four alternative representations of a set function: the Möbius transformation, the co-Möbius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation
The investigation of this thesis is introduced by finding all the relationships existing among the v...
We give the upper and lower bounds of the Möbius inverse of monotone and normalized set functions (...
International audienceWe give a comprehensive introduction to the algebra of set functions and its g...
peer reviewedThis paper introduces four alternative representations of a set function: the Möbius tr...
International audienceThe paper studies the vector space of set functions on a finite set X, which c...
It is shown that set operators can be extended to function operators. This makes it possible to tran...
International audienceSet functions appear as a useful tool in many areas of decision making and ope...
URL des Documents de travail : http://ces.univ-paris1.fr/cesdp/cesdp2016.htmlDocuments de travail du...
We present a representation principle for sets and functions, essentially meaning that sets and func...
International audienceWe give the exact upper and lower bounds of the Möbius inverse of monotone and...
The investigation of this thesis is introduced by finding all the relationships existing among the v...
We give the upper and lower bounds of the Möbius inverse of monotone and normalized set functions (...
International audienceWe give a comprehensive introduction to the algebra of set functions and its g...
peer reviewedThis paper introduces four alternative representations of a set function: the Möbius tr...
International audienceThe paper studies the vector space of set functions on a finite set X, which c...
It is shown that set operators can be extended to function operators. This makes it possible to tran...
International audienceSet functions appear as a useful tool in many areas of decision making and ope...
URL des Documents de travail : http://ces.univ-paris1.fr/cesdp/cesdp2016.htmlDocuments de travail du...
We present a representation principle for sets and functions, essentially meaning that sets and func...
International audienceWe give the exact upper and lower bounds of the Möbius inverse of monotone and...
The investigation of this thesis is introduced by finding all the relationships existing among the v...
We give the upper and lower bounds of the Möbius inverse of monotone and normalized set functions (...
International audienceWe give a comprehensive introduction to the algebra of set functions and its g...
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