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  POSSIBILITY MEASURES AND POSSIBILITY INTEGRALS DEFINED ON A COMPLETE LATTICE

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by Gert De Cooman, Guangquan Zhang, Etienne, E. Kerre
http://ippserv.rug.ac.be/~gert/publications/latint.ps.gz
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Abstract:

Abstract. We consider the denition of possibility measures on complete lattices rather than on complete Boolean algebras of sets. We give a necessary and sucient condition for the extendability of any mapping to such a possibility measure. We also associate two types of integrals with these possibility measures, and discuss some of their more important properties, amongst which a monotone convergence theorem. 1.

Citations

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