editors F. Smarandache & J. Dezert's Advances and Applications of DSmT for Information Fusion, PDF

By editors F. Smarandache & J. Dezert

ISBN-10: 1599730731

ISBN-13: 9781599730738

This quantity has approximately 760 pages, break up into 25 chapters, from forty-one members. First a part of this e-book provides advances of Dezert-Smarandache conception (DSmT) that's turning into some of the most complete and versatile fusion concept in line with trust features. it might paintings in all fusion areas: energy set, hyper-power set, and super-power set, and has a number of fusion and conditioning ideas that may be utilized reckoning on every one software. a few new generalized ideas are brought during this quantity with codes for enforcing a few of them. For the qualitative fusion, the DSm box and Linear Algebra of sophisticated Labels (FLARL) is proposed which could convert any numerical fusion rule to a qualitative fusion rule. while one must paintings on a cultured body of discernment, the refinement is finished utilizing Smarandache s algebraic codification. New interpretations and implementations of the fusion principles in keeping with sampling recommendations and referee features are proposed, together with the probabilistic proportional clash redistribution rule. a brand new probabilistic transformation of mass of trust is additionally offered which outperforms the classical pignistic transformation in time period of probabilistic info content material. the second one a part of the booklet offers functions of DSmT in aim monitoring, in satellite tv for pc picture fusion, in snow-avalanche danger review, in multi-biometric fit rating fusion, in evaluation of an characteristic details retrieved according to the sensor information or human originated info, in sensor administration, in computerized objective allocation for a planetary rover, in computer-aided clinical prognosis, in a number of digicam fusion for monitoring items on floor airplane, in item id, in fusion of digital help Measures allegiance file, in map regenerating woodland stands, and so on.

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Additional info for Advances and Applications of DSmT for Information Fusion, Collected Works, Vol. 3

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But as already mentioned, DSmT can easily deal with belief functions defined on 2Θ or S Θ similarly as those defined on DΘ . Generic notation: In the sequel, we use the generic notation GΘ for denoting the sets (power set, hyper-power set and super-power set) on which the belief functions are defined. Remark on the logical refinement: The refinement in logic theory presented recently by Cholvy in [2] was actually proposed in nineties by a Guan and Bell [15] and by Paris [21]. This refinement is isomorphic to the refinement in set theory done by many researchers.

1 12 ... 2 ... ... . . ... . . ... . . . ... ... ... .. ... ... ... ... ... . . . ... .. ... ... .... .... ..... ..... ...... ..... ...... . . . . . . ....... ......... ............................ ... 1: Venn diagram of a free DSm model for a 2D frame. θ1 = A ∪ C, θ2 = B ∪ C, θ1 ∩ θ2 = C Then the classical power set of Θref is given by 2Θ ref = {∅, A, B, C, A ∪ B, A ∪ C, B ∪ C, A ∪ B ∪ C} We see that we can define easily a one-to-one correspondence, written ∼, between all the elements of the super-power set S Θ and the elements of the power ref as follows: set 2Θ ∅ ∼ ∅, (θ1 ∩θ2 ) ∼ C, θ1 ∼ (A∪C), c(θ1 ∩ θ2 ) ∼ (A ∪ B), θ2 ∼ (B ∪C), c(θ1 ) ∼ B, (θ1 ∪θ2 ) ∼ (A∪B ∪C) c(θ2 ) ∼ A ref Such one-to-one correspondence between the elements of S Θ and 2Θ can be defined for any cardinality |Θ| ≥ 2 of the frame Θ and thus one can consider ref S Θ as the mathematical construction of the power set 2Θ of the minimal refinement of the frame Θ.

1 ∧ θ2 ∧ θ3 .... ... ...... .......... ........ ...... . . . .... ................ ........................................... ... ... ... ... . ... . ... .. . . . ¬θ ∧ θ ∧ ¬θ 1 2 3 .... ¬θ1 ∧ θ2 ∧ θ3 .... ¬θ1 ∧ ¬θ2 ∧ θ3.... ... . .. ... ... ... . . p2 p23 p3 ... .. ... .. ... .... .... .... .... ..... . . . . . . ...... ..... ...... ........ ........ .......... .............................................. 2: Venn diagram of the free DSm model for a 3D frame.

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Advances and Applications of DSmT for Information Fusion, Collected Works, Vol. 3 by editors F. Smarandache & J. Dezert


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