A new definition of entropy of belief functions in the Dempster-Shafer theory

@article{Jirousek2018AND,
  title={A new definition of entropy of belief functions in the Dempster-Shafer theory},
  author={Radim Jirousek and Prakash P. Shenoy},
  journal={Int. J. Approx. Reasoning},
  year={2018},
  volume={92},
  pages={49-65}
}
We propose a new definition of entropy for basic probability assignments (BPA) in the Dempster-Shafer (D-S) theory of belief functions, which is interpreted as a measure of total uncertainty in the BPA. Our definition is different from the definitions proposed by Höhle, Smets, Yager, Nguyen, Dubois-Prade, Lamata-Moral, Klir-Ramer, Klir-Parviz, Pal et al., MaedaIchihashi, Harmanec-Klir, Jousselme et al., and Pouly et al. We state a list of five desired properties of entropy for D-S belief… CONTINUE READING

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