Get Advances and Applications of DSmT for Information Fusion PDF

By editors Florentin Smarandache, Jean Dezert

ISBN-10: 1599730006

ISBN-13: 9781599730004

This moment quantity devoted to Dezert-Smarandache conception (DSmT) in details Fusion brings in new fusion quantitative ideas (such because the PCR1-6, the place PCR5 for 2 assets does the main mathematically distinctive redistribution of conflicting lots to the non-empty units within the fusion literature), qualitative fusion ideas, and the idea Conditioning Rule (BCR) that is various from the classical conditioning rule utilized by the fusion neighborhood operating with the Mathematical thought of proof. different fusion ideas are built in accordance with T-norm and T-conorm (hence utilizing fuzzy good judgment and fuzzy set in info fusion), or extra basic fusion principles according to N-norm and N-conorm (hence utilizing neutrosophic common sense and neutrosophic set in info fusion), and an try to unify the fusion principles and fusion theories. The recognized fusion ideas are prolonged from the facility set to the hyper-power set and comparability among principles are made on many examples. One defines the measure of intersection of 2 units, measure of union of 2 units, and measure of inclusion of 2 units which all assist in bettering the all latest fusion principles in addition to the credibility, plausibility, and communality capabilities. The publication chapters are written by means of Frederic Dambreville, Milan Daniel, Jean Dezert, Pascal Djiknavorian, Dominic Grenier, Xinhan Huang, Pavlina Dimitrova Konstantinova, Xinde Li, Arnaud Martin, Christophe Osswald, Andrew Schumann, Tzvetan Atanasov Semerdjiev, Florentin Smarandache, Albena Tchamova, and Min Wang.

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Extra resources for Advances and Applications of DSmT for Information Fusion (Collected works), second volume

Example text

M1 ⊕ . . ) = [m1 ⊕ . . ). This severe drawback of WAO and PCR1 forces us to develop the next PCR rules satisfying the neutrality property of VBA with better redistributions of the conflicting information. 2 Example for PCR1 (degenerate case) For non degenerate cases with Shafer’s model, PCR1 and WAO provide the same results. So it is interesting to focus the reader’s attention on the difference between PCR1 and WAO in a simple degenerate case corresponding to a dynamic fusion problem.

S (Xi1 ∩ . . s (X ∩ Xi1 ∩ . . =u(Xik )=∅ Xij ) j=1 where ∅ is the set of elements (if any) which have been forced to be empty by the integrity constraints of the model of the problem (in case of dynamic fusion) and (P k ({1, 2, . . , n}) is the set of all subsets ok k elements from {1, 2, . . , n} (permutations of n elements taken by k), the order of elements doesn’t count. 28) is for cases when Xi1 ,. . , Xik become empty in dynamic fusion; their intersection mass is transferred to their disjunctive form: u(Xi1 ) ∪ .

8175 < 1. This example shows clearly the difference between PCR1 and static-WAO originally proposed in [11, 12] and the ability of PCR1 to deal with degenerate/dynamic cases contrariwise to original WAO. The improved dynamic-WAO version suggested by Daniel coincides with PCR1. 1 The PCR2 formula In PCR2, the total conflicting mass k12 is distributed only to the non-empty sets involved in the conflict (not to all non-empty sets) and taken the canonical form of the conflict proportionally with respect to their corresponding non-empty column sum.

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Advances and Applications of DSmT for Information Fusion (Collected works), second volume by editors Florentin Smarandache, Jean Dezert

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