By Fabio Cuzzolin
This e-book constitutes the completely refereed complaints of the 3rd overseas convention on trust services, trust 2014, held in Oxford, united kingdom, in September 2014. The forty seven revised complete papers provided during this e-book have been conscientiously chosen and reviewed from fifty six submissions. The papers are geared up in topical sections on trust blend; computing device studying; functions; idea; networks; info fusion; facts organization; and geometry.
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Extra info for Belief Functions: Theory and Applications: Third International Conference, BELIEF 2014, Oxford, UK, September 26-28, 2014. Proceedings
Let A ∩ B = ∅. Then the conﬂict K = 0 and we get resultant measure after application of Dempster’s rule to new discounting measures: gα,β = ϕD η (1 − α)(1 − β)η A∩B (α) (β) A ,η B + (1 − α)βη A = + α(1 − β)η B + αβη X . (13) We will suppose that the information sources are suﬃciently reliable. Then α, β ≈ 0. In this case we will get the following resulting measure instead of (13) if we neglect members of second order of α and β General Schemes of Combining Rules gα,β = ϕD η (α) (β) A ,η B = (1 − α − β)η A∩B + βη A + αη B 37 .
A case of combination of evidence in the DempsterShafer theory inconsistent with evaluation of probabilities. 0082 (2011) 2. : Measuring uncertainty with imprecision indices. In: Proc. of the Fifth International Symposium on imprecise probability: Theory and Applications, Prague, Czech Republic, pp. 47–56 (2007) 3. : Combining belief functions issued from dependent sources. , Zaﬀalon, M. ) ISIPTA 2003, Proceedings in Informatics, vol. 18, pp. 133–147. Carleton Scientiﬁc, Waterloo (2003) 4. : Belief functions combination without the assumption of independence of the information sources.
A linear transform Φ is called the contraction transform if Φ(A, B) = 0 for A ⊃ B, and it is called expansive if Φ(A, B) = 0 for A ⊂ B. We will write Bel1 Bel2 if Bel2 can be obtained from Bel1 using some contraction transform, or equivalently, if Bel1 can be obtained from Bel2 using an expansive transform. In evidence theory such partial order is called specialization . It is easy to show  that Bel1 Bel2 implies Bel1 Bel2 , but the opposite is not true in general. Lemma 1. , N , N ai = 1.