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. - In: FUZZY SETS AND SYSTEMS. - ISSN 0165-0114. - STAMPA. - 158:(2007), pp. 38-49.
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.File in questo prodotto:
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