The definition of belief function is extended to fuzzy events starting from a basic assignment of probability on some fuzzy focal events and using a suitable notion of inclusion for fuzzy subsets. We prove that the resulting measure is infinitely monotone and, as in the crisp case, can be expressed as a lower envelope.

Fuzzy subsethood and belief functions of fuzzy events

BIACINO, LOREDANA
2007

Abstract

The definition of belief function is extended to fuzzy events starting from a basic assignment of probability on some fuzzy focal events and using a suitable notion of inclusion for fuzzy subsets. We prove that the resulting measure is infinitely monotone and, as in the crisp case, can be expressed as a lower envelope.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/100066
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