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 H¨ohle, 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 functions theory that are motivated by Shannon’s deﬁnition of entropy for probability functions together with the requirement that any deﬁnition should be consistent with the semantics of D-S belief functions theory.
Comments: 29 Pages.
[v1] 2017-01-03 06:16:44
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