Fuzzy subsethood and belief functions of fuzzy events

  • Authors:
  • Loredana Biacino

  • Affiliations:
  • Department of Mathematics and Applications, Via Cintia, 80126 Naples, Italy

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2007

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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.