set functions
Interaction transform for bi-set functions over a finite set
... against, and the other ones abstain. Hence, such “bi-set” functions enable a richer modelling of situations in deci- sion making. The question is then to recover the usual tools associated with set ...
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Remarkable polyhedra related to set functions, games and capacities
... set function, and is therefore a ...the set of compatible probability ...of set functions, games and capacities can be found in the monograph of the author ...
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A Radon-Nikodym derivative for almost subadditive set functions
... Building set functions from existing ones can be naturally carried on through Choquet integrals (see [15]), ...for set functions (see [4]). Another version for non-additive set ...
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Bases and Transforms of Set Functions
... of set functions on a finite set X, which can be alternatively seen as pseudo-Boolean functions, and including as a special cases ...parity functions) and make an emphasis on the ...
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Remarkable polyhedra related to set functions, games and capacities
... Introduction Set functions, that is, functions assigning a real number to any subset of a universal set, are encountered in many domains of Operations Research and discrete mathematics, often ...
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Exact bounds of the Möbius inverse of monotone set functions
... monotone set function, interaction AMS Classification: 05, 06, 91 1 Introduction The M¨obius function is a well-known tool in combinatorics and partially ordered sets (see, ...monotone set function (called ...
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Identification of random shapes from images through polynomial chaos expansion of random level-set functions
... The identi cation of a probabilistic model is a very critical point. It usually requires many samples and robust identi cation techniques of random variables or elds. Experimental campaigns or in-site measurements are ...
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Bases and transforms of set functions
... The aim of this paper is to bring a survey on the above mentioned issues. Section 2 gives a brief account on set functions and pseudo-Boolean functions. Section 3 describes the best-known bases ...
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Bases and transforms of set functions
... Introduction Set functions on a finite set X are of fundamental usage in many areas of discrete math- ematics, ...pseudo-Boolean functions. Specific domains focus on specific subclasses of ...
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Submodular Partition Functions
... LIRMM-Universit´ e Montpellier II, 161 rue Ada, 34392 Montpellier Cedex, France thomasse@lirmm.fr Abstract Adapting the method introduced in Graph Minors X [6], we propose a new proof of the duality between the ...
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On Skolemising Zermelo's Set Theory
... Although convenient in the perspective of a model-theoretic study, the lan- guage of set theory is too rudimentary to be used to formalise mathematics effectively. For a practical use, it is necessary to enrich ...
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Molien generating functions and integrity bases for the action of the SO(3) and O(3) groups on a set of vectors
... a set of n Γ–covariants which transform according to the n × n representation matrix of the element ...a set of vectors), the action of G extends to the corresponding algebra A of ...a set of ...
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On comonotonically modular functions
... 7. M. Couceiro and J.-L. Marichal. Polynomial functions over bounded distributive lattices, Journal of Multiple-Valued Logic and Soft Computing. In press. 8. M. Grabisch, J.-L. Marichal, R. Mesiar, and E. Pap. ...
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Entire functions sharing small functions with their difference operators
... [3] B. Chen, and S. Li, Uniquness problems on entire functions that share a small function with their difference operators , Adv. Difference Equ. 2014, 2014:311, 11 pp. [4] Y. M. Chiang, S. J. Feng, On the ...
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Symbolic Asymptotics : Functions of Two Variables, Implicit Functions
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Modular Graph Functions
... Such functions, which we will refer to as modular graph functions, arise, for example, in the low energy expansion of genus-one Type II superstring ...These functions depend on a coordinate, ζ, on ...
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Comparing products of Schur functions and quasisymmetric functions
... A symmetric function is called Schur nonnegative if it is a linear combination with nonnegative coefficients of the Schur functions, or, equivalently, if it is the cha[r] ...
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Epistemic Answer Set Programming
... The first approach of this line of research is Gelfond’s epistemic specifications ES [8]: he extended a special form of ASP called disjunctive logic programming [14] by epistemic operato[r] ...
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The disabled set sail
... and control keyboard, and electric winches will be inte- grated directly into the main circuit board via the CAN in- terface. This PSC is based on open-source technology in order to allow the easy in- tegration of new ...
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Epistemic Answer Set Programming
... In both semantics, the selection of these special models from among all models of a program is in two steps plus a fixed point check: first, we compute the reduct of a program by a candi[r] ...
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