Partial Ordering Of Hyper Powersets And Matrix Representation Of Belief Functions Within Dsmt
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Partial Ordering Of Hyper Powersets And Matrix Representation Of Belief Functions Within Dsmt
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Author : Jean Dezert
language : en
Publisher: Infinite Study
Release Date :
Partial Ordering Of Hyper Powersets And Matrix Representation Of Belief Functions Within Dsmt written by Jean Dezert and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper, we examine several issues for ordering or partially ordering elements of hyperpowertsets involved in the recent theory of plausible, uncertain and paradoxical reasoning (DSmT) developed by the authors. We will show the benefit of some of these issues to obtain a nice and useful matrix representation of belief functions.
Partial Ordering On Hyper Power Sets
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Author : Jean Dezert
language : en
Publisher: Infinite Study
Release Date :
Partial Ordering On Hyper Power Sets written by Jean Dezert and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this chapter, we examine several issues for ordering or partially or dering elements of hyper-power sets involved in the DSmT. We will show the benefit of some of these issues to obtain a nice and interesting structure of matrix represen tation of belief functions.
Advances And Applications Of Dsmt For Information Fusion Collected Works Second Volume
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2006-01-01
Advances And Applications Of Dsmt For Information Fusion Collected Works Second Volume written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Computers categories.
This second volume dedicated to Dezert-Smarandache Theory (DSmT) in Information Fusion brings in new fusion quantitative rules (such as the PCR1-6, where PCR5 for two sources does the most mathematically exact redistribution of conflicting masses to the non-empty sets in the fusion literature), qualitative fusion rules, and the Belief Conditioning Rule (BCR) which is different from the classical conditioning rule used by the fusion community working with the Mathematical Theory of Evidence. Other fusion rules are constructed based on T-norm and T-conorm (hence using fuzzy logic and fuzzy set in information fusion), or more general fusion rules based on N-norm and N-conorm (hence using neutrosophic logic and neutrosophic set in information fusion), and an attempt to unify the fusion rules and fusion theories. The known fusion rules are extended from the power set to the hyper-power set and comparison between rules are made on many examples. One defines the degree of intersection of two sets, degree of union of two sets, and degree of inclusion of two sets which all help in improving the all existing fusion rules as well as the credibility, plausibility, and communality functions. The book chapters are written by Frederic Dambreville, Milan Daniel, Jean Dezert, Pascal Djiknavorian, Dominic Grenier, Xinhan Huang, Pavlina Dimitrova Konstantinova, Xinde Li, Arnaud Martin, Christophe Osswald, Andrew Schumann, Tzvetan Atanasov Semerdjiev, Florentin Smarandache, Albena Tchamova, and Min Wang.
Advances And Applications Of Dsmt For Information Fusion Collected Works
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2004
Advances And Applications Of Dsmt For Information Fusion Collected Works written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.
Papers collected from researchers in fusion information, such as: Florentin Smarandache, Jean Dezert, Hongshe Dang, Chongzhao Han, Frederic Dambreville, Milan Daniel, Mohammad Khoshnevisan, Sukanto Bhattacharya, Albena Tchamova, Tzvetan Semerdjiev, Pavlina Konstantinova, Hongyan Sun, Mohammad Farooq, John J. Sudano, Samuel Corgne, Gregoire Mercier, Laurence Hubert-Moy, Anne-Laure Jousselme, Patrick Maupin and others on Dezert-Smarandache Theory of Plausible and Paradoxical Reasoning (DSmT).. The principal theories available until now for data fusion are the probability theory, the fuzzy set theory, the possibility theory, the hint theory and the theory of evidence. Since last two years J. Dezert and F. Smarandache are actively developing a new theory of plausible and paradoxical reasoning, called DSmT (acronym for Dezert-Smarandache Theory), for information fusion of uncertain and highly conflicting sources of information. The DSmT can be interpreted as a generalization of the Dempster-Shafer Theory (DST) but goes far beyond the DST. The free-DSmT model, which assumes that the ultimate refinement of the frame of discernment of the fusion problem is not accessible due to the intrinsic nature of its elements, is opposite to the Shafer's model (on which is based the DST) assuming the exhaustivity and exclusivity of all elements of the frame of discernment. The DSmT proposes a new theoretical framework for data fusion based on definition of hyper-power sets and a new simple commutative and associative rule of combination. Recently, it has been discovered, through a new DSm hybrid rule of combination, that DSmT can be also extended to problems involving hybrid-models (models including some exclusivity and/or non-existentially constraints). This new important theoretical result offers now to the DSmT a wider class of fusion applications and allows potentially to attack the next generation of complex dynamical/temporal fusion problems. DSmT can also provide a theoretical issue for the fusion of neutrosophic information (extension of fuzzy information proposed by F. Smarandache in nineties - see http://www.gallup.unm.edu/~smarandache/FirstNeutConf.htm for details about the neutrosophy logic and neutrosophy set theory).
Combining Uncertain And Paradoxical Evidences For Dsm Hybrid Models
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Author : Jean Dezert
language : en
Publisher: Infinite Study
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Combining Uncertain And Paradoxical Evidences For Dsm Hybrid Models written by Jean Dezert and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
This paper presents a general method for combining uncertain and paradoxical source of evidences for a wide class of fusion problems.
A Dsmt Based Fusion Machine For Robot S Map Reconstruction
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Author : Xinhan Huang
language : en
Publisher: Infinite Study
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A Dsmt Based Fusion Machine For Robot S Map Reconstruction written by Xinhan Huang and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Characteristics of uncertainty and imprecision, even imperfection is presented from knowledge acquisition in map reconstruction of autonomous mobile robots. Especially in the course of building grid map using sonar, this characteristic of uncertainty is especially servere.
Dsm Models And Non Archimedean Reasoning
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Author : Andrew Schumann
language : en
Publisher: Infinite Study
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Dsm Models And Non Archimedean Reasoning written by Andrew Schumann and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Dezert-Smarandache theory of plausible and paradoxical reasoning is based on the premise that some elements θi of a frame Θ have a non-empty intersection.
The Generalized Pignistic Transformation
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Author : Jean Dezert
language : en
Publisher: Infinite Study
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The Generalized Pignistic Transformation written by Jean Dezert and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
This paper presents in detail the generalized pignistic transformation (GPT)succinctly developed in the Dezert-Smarandache Theory (DSmT) framework as a tool for decision process. The GPT allows to provide a subjective probability measure from any generalized basic belief assignment given by any corpus of evidence. We mainly focus our presentation on the 3D case and provide the complete result obtained by the GPT and its validation drawn from the probability theory.
Modeling And Characterization Of Vegetation Aquatic And Mineral Surfaces Using The Theory Of Plausible And Paradoxical Reasoning From Satellite Images Case Of The Toumodi Yamoussoukro Ti Bissou Zone In V Baoul C Te D Ivoire
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Author : Jean-Claude Okaingni
language : en
Publisher: Infinite Study
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Modeling And Characterization Of Vegetation Aquatic And Mineral Surfaces Using The Theory Of Plausible And Paradoxical Reasoning From Satellite Images Case Of The Toumodi Yamoussoukro Ti Bissou Zone In V Baoul C Te D Ivoire written by Jean-Claude Okaingni and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper, the theory of plausible and paradoxical reasoning of Dezert- Smarandache (DSmT) is used to take into account the paradoxical character through the intersections of vegetation, aquatic and mineral surfaces. In order to do this, we developed a classification model of pixels by aggregating information using the DSmT theory based on the PCR5 rule using the NDVI, MNDWI and NDBaI spectral indices obtained from the ASTER satellite images.
Satellite Image Fusion Using Dezert Smarandache Theory
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Author : Abdenour Bouakache
language : en
Publisher: Infinite Study
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Satellite Image Fusion Using Dezert Smarandache Theory written by Abdenour Bouakache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Free and hybrid models of multisource satellite images fusion are developed using the plausible and paradoxical reasoning theory of Dezert-Smarandache. The aim of this work is to show the contribution of these fusion models for improving the thematic classification and the quantification of change.