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

By Florentin Smarandache, Jean Dezert

This ebook provides the hot theoretical advances and purposes of the Dezert-Smarandache concept (DSmT) of believable and paradoxical reasoning for info fusion. DSmT proposes a brand new mathematical framework to accommodate the combo of doubtful, obscure and hugely conflicting assets of knowledge expressed when it comes to generalized uncomplicated trust services. DSmT works past the boundaries of the Dempster-Shafer idea and proposes a brand new basic rule of mix 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). consequently it may mix trust services whether the refinement of the body of discernment is inaccessible due to the obscure, relative, and obscure intrinsic nature of its parts. half 1 of this publication offers in info the final investigations on DSmT but additionally a few similar theoretical works with different techniques for info fusion. half 2 of the publication offers attention-grabbing purposes of DSmT for fixing either educational fusion difficulties and real-world fusion difficulties. amassed works are by way 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. sunlight, A. P. Tchamova. The booklet 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 conception of believable, doubtful, and paradoxist details) can be released subsequent yr. anyone is invited to give a contribution papers or chapters for this moment collective publication. time limit: Fall 2005. Contributed papers could be despatched to Dr. Jean Dezert (jean.dezert@onera.fr, jdezert@yahoo.com, ONERA - French nationwide institution for Aerospace learn, BP seventy two F-92322, Chatillon Cedex, France) and Prof. Florentin Smarandache (smarand@unm.edu, college of recent Mexico, 2 hundred university street, Gallup, NM 87301, USA).

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4, No. 1, pp. 73-81, 1983. [46] Yager R. , On the relationships of methods of aggregation of evidence in expert systems, Cybernetics and Systems, Vol. 16, pp. 1-21, 1985. , On the Dempster-Shafer framework and new combination rules, Information Sciences, Vol. 41, pp. 93–138, 1987. [48] Yager R. , Kacprzyk J. html). , Evidential reasoning. htm). , On the validity of Dempster’s rule of combination, Memo M 79/24, Univ. of California, Berkeley, 1979. , Review of Mathematical theory of evidence, by Glenn Shafer, AI Magazine, Vol.

E. Shafer’s model M0 holds), then because θ1 ∩ θ2 = ∅, one gets M0 DΘ = {∅, θ1 ∩ θ2 = ∅, θ1 , θ2 , θ1 ∪ θ2 } = {∅, θ1 , θ2 , θ1 ∪ θ2 } ≡ 2Θ . Between the class of fusion problems corresponding to the free DSm model Mf (Θ) and the class of fusion problems corresponding to Shafer’s model M0 (Θ), there exists another wide class of hybrid fusion problems involving in Θ both fuzzy continuous concepts and discrete hypotheses. In such (hybrid) class, some exclusivity constraints and possibly some non-existential constraints (especially when working on dynamic7 fusion) have to be taken into account.

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