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}
}
  • L. Biacino
  • Published 2007
  • Mathematics, Computer Science
  • Fuzzy Sets Syst.
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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