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

By Florentin Smarandache, Jean Dezert

This e-book offers the new theoretical advances and functions 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, vague and hugely conflicting assets of knowledge expressed by way of generalized simple trust capabilities. DSmT works past the bounds of the Dempster-Shafer conception and proposes a brand new normal rule of mix which doesn't require a normalization step and works with any versions (free DSm, hybrid DSm and Shafer's version) regardless of the measure of clash among resources 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). consequently it may well mix trust services no matter if the refinement of the body of discernment is inaccessible due to the imprecise, relative, and vague intrinsic nature of its parts. half 1 of this e-book offers in info the final investigations on DSmT but in addition a few comparable theoretical works with different techniques for info fusion. half 2 of the e-book provides attention-grabbing purposes of DSmT for fixing either educational fusion difficulties and real-world fusion difficulties.

Collected works are by means of 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. solar, A. P. Tchamova.

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

A moment quantity approximately new purposes and advancements of DSmT (Dezert-Smarandache thought of believable, doubtful, and paradoxist details) could be released subsequent yr. anyone is invited to give a contribution papers or chapters for this moment collective booklet. time limit: Fall 2005.

Contributed papers can be despatched to Dr. Jean Dezert (jean.dezert@onera.fr, jdezert@yahoo.com, ONERA - French nationwide institution for Aerospace study, BP seventy two F-92322, Chatillon Cedex, France) and Prof. Florentin Smarandache (smarand@unm.edu, collage of latest Mexico, two hundred university street, Gallup, NM 87301, USA).

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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. PRESENTATION OF DSMT Here is an example with intersection (Dubois & Prade’s rule extended to the hyper-power set).

34, pp. 115-143, 1984. , The logical foundations of evidential reasoning, Tech. note 408, SRI International, Menlo Park, CA, USA, 1986. ), International Joint Conference on Artificial Intelligence, pp. 924-931, Morgan Kaufman, San Mateo, CA, 1987.. , A Mathematical Theory of Evidence, Princeton Univ. Press, Princeton, NJ, 1976. 323-362,1990. , The On-line Encyclopedia of Integer Sequences 2003, (Sequence No. com/~njas/sequences/. [36] Smarandache F. (Editor), Proceedings of the First International Conference on Neutrosophics, Univ.

999998. 999998. 0015. 000002. e. when all intersections are empty. For other hybrid models, Dubois & Prade’s rule of combination fails to provide a reliable and reasonable solution to the combination of sources (see next example). 000998 and mDSmc (θ3 ∩θ4 ) = 26 CHAPTER 1. 000002. If one now applies the hybrid DSm rule since one assumes here that Shafer’s model holds, one gets the same result as Dubois & Prade’s. The disjunctive rule coincides with Dubois & Prade’s rule and the hybrid DSm rule when all intersections are empty.

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