# Fuzzy subsethood and belief functions of fuzzy events

@article{Biacino2007FuzzySA, title={Fuzzy subsethood and belief functions of fuzzy events}, author={L. Biacino}, journal={Fuzzy Sets Syst.}, year={2007}, volume={158}, pages={38-49} }

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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