Advances and Applications of DSmT for Information Fusion by Florentin Smarandache, Jean Dezert PDF

By Florentin Smarandache, Jean Dezert

ISBN-10: 1931233829

ISBN-13: 9781931233828

This booklet offers the hot theoretical advances and purposes of the Dezert-Smarandache conception (DSmT) of believable and paradoxical reasoning for info fusion. DSmT proposes a brand new mathematical framework to house the mix of doubtful, obscure and hugely conflicting resources of data expressed by way of generalized simple trust features. DSmT works past the bounds of the Dempster-Shafer conception and proposes a brand new basic rule of blend which doesn't require a normalization step and works with any types (free DSm, hybrid DSm and Shafer's version) regardless of the measure of clash among assets is. The DSmT is easily tailored for static and dynamic fusion problematics and permits to paintings on any finite frames (discrete, non-stop and/or hybrid). for this reason it could mix trust capabilities no matter if the refinement of the body of discernment is inaccessible due to the imprecise, relative, and vague intrinsic nature of its components. half 1 of this ebook provides in info the final investigations on DSmT but in addition a few similar theoretical works with different methods for info fusion. half 2 of the ebook provides attention-grabbing purposes of DSmT for fixing either educational fusion difficulties and real-world fusion difficulties.

Collected works are through S. Corgne, F. Dambreville, M. Daniel, D. De Brucq, J. Dezert, M. Farooq, L. Hubert-Moy, A.-L. Jousselme, S. Kadambe, M. Khoshnevisan, P. D. Konstantinova, P. Maupin, G. Mercier, T. A. Semerdjiev, F. Smarandache, H. sunlight, A. P. Tchamova.

The ebook has been introduced in June on the Fusion 2004 convention in Stockholm, Sweden.

A moment quantity approximately new functions and advancements of DSmT (Dezert-Smarandache conception of believable, doubtful, and paradoxist info) should be released subsequent yr. anyone is invited to give a contribution papers or chapters for this moment collective e-book. closing date: Fall 2005.

Contributed papers may be despatched to Dr. Jean Dezert (,, ONERA - French nationwide institution for Aerospace study, BP seventy two F-92322, Chatillon Cedex, France) and Prof. Florentin Smarandache (, collage of latest Mexico, 2 hundred collage street, Gallup, NM 87301, USA).

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9998. Both Yager’s and Smets’ results are less specific than the result obtained with the hybrid DSm rule. There is a loss of information somehow when using Yager’s or Smets’ rules. 5 Fifth example Suppose one extends Dubois & Prade’s rule from the power set 2Θ to the hyper-power set DΘ . ) term is missing): a) at least one singleton is empty and the element of its column are all non zero b) at least an union of singletons is empty and elements of its column are all non zero c) or at least an intersection is empty and the elements of its column are non zero 28 CHAPTER 1.

5 The hybrid DSm rule of combination When the free DSm model Mf (Θ) does not hold due to the true nature of the fusion problem under consideration which requires to take into account some known integrity constraints, one has to work with a proper hybrid DSm model M(Θ) = Mf (Θ). e. φ(A) = 1 if A ∈ / ∅ and φ(A) = 0 otherwise, where ∅ {∅M , ∅}. ∅M is the set of all elements of DΘ which have been forced to be empty through the constraints of the model M and ∅ is the classical/universal empty set.

Two independent sources of evidence (human ”experts” here) can provide a different interpretation of θ1 and θ2 just because they usually do not share the same reference point. 3. FOUNDATIONS OF THE DSMT 19 cepts carrying only a relative meaning. Moreover, these concepts are linked together by a continuous path. Let’s examine now a numerical example. e. ), we volontary assume that a refinement is possible (even if it does not make sense actually here) in order to compare the previous result with the result one would obtain with Dempster’s rule of combination.

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Advances and Applications of DSmT for Information Fusion by Florentin Smarandache, Jean Dezert

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