By Florentin Smarandache, Jean Dezert
This booklet offers the new theoretical advances and functions of the Dezert-Smarandache thought (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 when it comes to generalized simple trust features. DSmT works past the boundaries of the Dempster-Shafer thought and proposes a brand new common 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). as a result it could mix trust features whether the refinement of the body of discernment is inaccessible end result of the imprecise, relative, and obscure intrinsic nature of its parts. half 1 of this booklet offers in information the final investigations on DSmT but in addition a few comparable theoretical works with different ways for info fusion. half 2 of the e-book provides fascinating purposes of DSmT for fixing either educational fusion difficulties and real-world fusion difficulties. gathered 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 booklet 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 idea of believable, doubtful, and paradoxist info) may be released subsequent yr. anyone is invited to give a contribution papers or chapters for this moment collective booklet. cut-off date: Fall 2005. Contributed papers will be despatched to Dr. Jean Dezert (firstname.lastname@example.org, email@example.com, ONERA - French nationwide institution for Aerospace learn, BP seventy two F-92322, Chatillon Cedex, France) and Prof. Florentin Smarandache (firstname.lastname@example.org, collage of latest Mexico, 2 hundred collage street, Gallup, NM 87301, USA).
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Extra resources for Advances and Applications of DSmT for Information Fusion Collected Works Volume 1
No other constraint is involved in the free DSm model. When the free DSm model holds, the classic commutative and associative DSm rule of combination (corresponding to the conjunctive consensus defined on the free Dedekind’s lattice - see next subsection) is performed. Depending on the intrinsic nature of the elements of the fusion problem under consideration, it can however happen that the free model does not fit the reality because some subsets of Θ can contain elements known to be truly exclusive but also truly non existing at all at a given time (specially when working on dynamic fusion problem where the frame Θ varies with time with the revision of the knowledge available).
DSmT differs from DST because it is based on the free Dedekind lattice. It works for any model (free DSm model and hybrid models - including Shafer’s model as a special case) which fits adequately with the true nature of the fusion problem under consideration. This ability of DSmT allows to deal formally with any fusion problems expressed in terms of belief functions which can mix discrete concepts with vague/continuous/relative concepts. The DSmT deals with static and dynamic fusion problematics in the same theoretical way taking into account the integrity constraints into the model which are considered either as static or eventually changing with time when necessary.
Generalized database relational algebra for the treatment of incomplete/uncertain information and vague queries, Information Sciences, Vol. 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.