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Combination Of Beliefs On Hybrid Dsm Models
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Book Synopsis Combination of beliefs on hybrid DSm models by : Jean Dezert
Download or read book Combination of beliefs on hybrid DSm models written by Jean Dezert and published by Infinite Study. This book was released on with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: This chapter presents a general method for combining uncertain and paradoxical (i.e. highly conflicting) sources of evidence for a wide class of fusion problems. From the foundations of the DSmT we show how the DSm rule of combination can be extended to take into account all possible integrity constraints (if any) of the problem under consideration due to the true nature of elements/concepts involved into it.
Book Synopsis Classical Combination Rules Generalized to DSm Hyperpower Sets and their Comparison with the Hybrid DSm Rule by : Milan Daniel
Download or read book Classical Combination Rules Generalized to DSm Hyperpower Sets and their Comparison with the Hybrid DSm Rule written by Milan Daniel and published by Infinite Study. This book was released on with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dempster’s rule, non-normalized conjunctive rule, Yager’s rule and Dubois-Prade’s rule for belief functions combination are generalized to be applicable to hyper-power sets according to the DSm theory. A comparison of the rules with DSm rule of combination is presented. A series of examples is included.
Book Synopsis A Comparison of the Generalized minC Combination and the Hybrid DSm Combination Rules by : Milan Daniel
Download or read book A Comparison of the Generalized minC Combination and the Hybrid DSm Combination Rules written by Milan Daniel and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: A generalization of the minC combination to DSm hyper-power sets is presented. Both the special formulas for static fusion or dynamic fusion without non-existential constraints and the quite general formulas for dynamic fusion with non-existential constraints are included. Examples of the minC combination on several different hybrid DSm models are presented. A comparison of the generalized minC combination with the hybrid DSm rule is discussed and explained on examples.
Book Synopsis Comparison between DSm and MinC combination rules by : Milan Daniel
Download or read book Comparison between DSm and MinC combination rules written by Milan Daniel and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both DSm and minC rules of combination endeavor to process conflicts among combined beliefs better. The nature of conflicts as well as their processing during the belief combination is sketched. An presentation of the minC combination, an alternative to Dempster’s rule of combination, follows. Working domains, structures and mechanisms of the DSm and minC combination rules are compared in the body of this chapter. Finally, some comparative examples are presented.
Book Synopsis Advances and Applications of DSmT for Information Fusion (Collected works) by : Florentin Smarandache
Download or read book Advances and Applications of DSmT for Information Fusion (Collected works) written by Florentin Smarandache and published by Infinite Study. This book was released on 2004 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Advances and Applications of DSmT for Information Fusion (Collected Works. Volume 5) by : Florentin Smarandache
Download or read book Advances and Applications of DSmT for Information Fusion (Collected Works. Volume 5) written by Florentin Smarandache and published by Infinite Study. This book was released on 2023-12-27 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth volume on Advances and Applications of DSmT for Information Fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics, and is available in open-access. The collected contributions of this volume have either been published or presented after disseminating the fourth volume in 2015 (available at fs.unm.edu/DSmT-book4.pdf or www.onera.fr/sites/default/files/297/2015-DSmT-Book4.pdf) in international conferences, seminars, workshops and journals, or they are new. The contributions of each part of this volume are chronologically ordered. First Part of this book presents some theoretical advances on DSmT, dealing mainly with modified Proportional Conflict Redistribution Rules (PCR) of combination with degree of intersection, coarsening techniques, interval calculus for PCR thanks to set inversion via interval analysis (SIVIA), rough set classifiers, canonical decomposition of dichotomous belief functions, fast PCR fusion, fast inter-criteria analysis with PCR, and improved PCR5 and PCR6 rules preserving the (quasi-)neutrality of (quasi-)vacuous belief assignment in the fusion of sources of evidence with their Matlab codes. Because more applications of DSmT have emerged in the past years since the apparition of the fourth book of DSmT in 2015, the second part of this volume is about selected applications of DSmT mainly in building change detection, object recognition, quality of data association in tracking, perception in robotics, risk assessment for torrent protection and multi-criteria decision-making, multi-modal image fusion, coarsening techniques, recommender system, levee characterization and assessment, human heading perception, trust assessment, robotics, biometrics, failure detection, GPS systems, inter-criteria analysis, group decision, human activity recognition, storm prediction, data association for autonomous vehicles, identification of maritime vessels, fusion of support vector machines (SVM), Silx-Furtif RUST code library for information fusion including PCR rules, and network for ship classification. Finally, the third part presents interesting contributions related to belief functions in general published or presented along the years since 2015. These contributions are related with decision-making under uncertainty, belief approximations, probability transformations, new distances between belief functions, non-classical multi-criteria decision-making problems with belief functions, generalization of Bayes theorem, image processing, data association, entropy and cross-entropy measures, fuzzy evidence numbers, negator of belief mass, human activity recognition, information fusion for breast cancer therapy, imbalanced data classification, and hybrid techniques mixing deep learning with belief functions as well. We want to thank all the contributors of this fifth volume for their research works and their interests in the development of DSmT, and the belief functions. We are grateful as well to other colleagues for encouraging us to edit this fifth volume, and for sharing with us several ideas and for their questions and comments on DSmT through the years. We thank the International Society of Information Fusion (www.isif.org) for diffusing main research works related to information fusion (including DSmT) in the international fusion conferences series over the years. Florentin Smarandache is grateful to The University of New Mexico, U.S.A., that many times partially sponsored him to attend international conferences, workshops and seminars on Information Fusion. Jean Dezert is grateful to the Department of Information Processing and Systems (DTIS) of the French Aerospace Lab (Office National d’E´tudes et de Recherches Ae´rospatiales), Palaiseau, France, for encouraging him to carry on this research and for its financial support. Albena Tchamova is first of all grateful to Dr. Jean Dezert for the opportunity to be involved during more than 20 years to follow and share his smart and beautiful visions and ideas in the development of the powerful Dezert-Smarandache Theory for data fusion. She is also grateful to the Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, for sponsoring her to attend international conferences on Information Fusion.
Book Synopsis A class of fusion rules based on the belief redistribution to subsets or complements by : Florentin Smarandache
Download or read book A class of fusion rules based on the belief redistribution to subsets or complements written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter we present a class of fusion rules based on the redistribution of the conflicting or even non-conflicting masses to the subsets or to the complements of the elements involved in the conflict proportionally with respect to their masses or/and cardinals. At the end, these rules are presented in a more general theoretical way including explicitly the reliability of each source of evidence. Some examples are also provided.
Book Synopsis General Combination Rules for Qualitative and Quantitative Beliefs by : ARNAUD MARTIN
Download or read book General Combination Rules for Qualitative and Quantitative Beliefs written by ARNAUD MARTIN and published by Infinite Study. This book was released on with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin and Osswald have recently proposed many generalizations of combination rules on quantitative beliefs in order to manage the conflict and to consider the specificity of the responses of the experts. Since the experts express themselves usually in natural language with linguistic labels, Smarandache and Dezert have introduced a mathematical framework for dealing directly also with qualitative beliefs. In this paper we recall some element of our previous works and propose the new combination rules, developed for the fusion of both qualitative or quantitative beliefs.
Book Synopsis The Combination of Paradoxical, Uncertain and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference by : Florentin Smarandache
Download or read book The Combination of Paradoxical, Uncertain and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: The management and combination of uncertain, imprecise, fuzzy and even paradoxical or high conflicting sources of information has always been, and still remains today, of primal importance for the development of reliable modern information systems involving artificial reasoning.
Book Synopsis On conjunctive and disjunctive combination rules of evidence by : Hongyan Sun
Download or read book On conjunctive and disjunctive combination rules of evidence written by Hongyan Sun and published by Infinite Study. This book was released on with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, the Dempster-Shafer (DS) combination rule is examined based on the multi-valued mapping (MVM) and the product combination rule of multiple independent sources of information.
Book Synopsis Fusion of qualitative beliefs by : Florentin Smarandache
Download or read book Fusion of qualitative beliefs written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: This chapter introduces the notion of qualitative belief assignment to model beliefs of human experts expressed in natural language (with linguistic labels). We show how qualitative beliefs can be efficiently combined using an extension of Dezert-Smarandache Theory (DSmT) of plausible and paradoxical quantitative reasoning to qualitative reasoning.
Book Synopsis Infinite classes of counter-examples to the Dempster’s rule of combination by : Jean Dezert
Download or read book Infinite classes of counter-examples to the Dempster’s rule of combination written by Jean Dezert and published by Infinite Study. This book was released on with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents several classes of fusion problems which cannot be directly attacked by the classical mathematical theory of evidence, also known as the Dempster-Shafer Theory (DST) either because the Shafer’s model for the frame of discernment is impossible to obtain or just because the Dempster’s rule of combination fails to provide coherent results (or no result at all). We present and discuss the potentiality of the DSmT combined with its classical (or hybrid) rule of combination to attack these infinite classes of fusion problems.
Book Synopsis Presentation of DSmT by : Jean Dezert
Download or read book Presentation of DSmT written by Jean Dezert and published by Infinite Study. This book was released on with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: This chapter presents a general overview and foundations of the DSmT, i.e. the recent theory of plausible and paradoxical reasoning developed by the authors, specially for the static or dynamic fusion of information arising from several independent but potentially highly conflicting, uncertain and imprecise sources of evidence.
Book Synopsis DSmT: A new paradigm shift for information fusion by : J. Dezert
Download or read book DSmT: A new paradigm shift for information fusion written by J. Dezert and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: The management and combination of uncertain, imprecise, fuzzy and even paradoxical or high conflicting sources of information has always been and still remains of primal importance for the development of reliable information fusion systems.
Book Synopsis Proceedings of the 2012 International Conference on Cybernetics and Informatics by : Shaobo Zhong
Download or read book Proceedings of the 2012 International Conference on Cybernetics and Informatics written by Shaobo Zhong and published by Springer Science & Business Media. This book was released on 2013-08-23 with total page 2355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Cybernetics and Informatics (ICCI 2012) covers the hybridization in control, computer, information, communications and applications. ICCI 2012 held on September 21-23, 2012, in Chongqing, China, is organized by Chongqing Normal University, Chongqing University, Nanyang Technological University, Shanghai Jiao Tong University, Hunan Institute of Engineering, Beijing University, and sponsored by National Natural Science Foundation of China (NSFC). This two volume publication includes selected papers from the ICCI 2012. Covering the latest research advances in the area of computer, informatics, cybernetics and applications, which mainly includes the computer, information, control, communications technologies and applications.
Book Synopsis Proportional Conflict Redistribution Rules for Information Fusion by : Florentin Smarandache
Download or read book Proportional Conflict Redistribution Rules for Information Fusion written by Florentin Smarandache and published by Infinite Study. This book was released on with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter we propose five versions of a Proportional Conflict Redistribution rule (PCR) for information fusion together with several examples.
Book Synopsis AN INTRODUCTION TO DSMT IN INFORMATION FUSION by : Jean Dezert
Download or read book AN INTRODUCTION TO DSMT IN INFORMATION FUSION written by Jean Dezert and published by Infinite Study. This book was released on with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt: The management and combination of uncertain, imprecise, fuzzy and even paradoxical or highly confliicting sources of information has always been, and still remains today, of primal importance for the development of reliable modern information systems involving artificial reasoning. In this introduction, we present a survey of our recent theory of plausible and paradoxical reasoning, known as Dezert-Smarandache Theory (DSmT), developed for dealing with imprecise, uncertain and conflicting sources of information. We focus our presentation on the foundations of DSmT and on its most important rules of combination, rather than on browsing specific applications ofDSmT available in literature. Several simple examples are given throughout this presentation to show the effciency and the generality of this new theory.
