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On Conjunctive And Disjunctive Combination Rules Of Evidence


On Conjunctive And Disjunctive Combination Rules Of Evidence
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On Conjunctive And Disjunctive Combination Rules Of Evidence


On Conjunctive And Disjunctive Combination Rules Of Evidence
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Author : Hongyan Sun
language : en
Publisher: Infinite Study
Release Date :

On Conjunctive And Disjunctive Combination Rules Of Evidence written by Hongyan Sun 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, 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.



Advances And Applications Of Dsmt For Information Fusion Collected Works Volume 5


Advances And Applications Of Dsmt For Information Fusion Collected Works Volume 5
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2023-12-27

Advances And Applications Of Dsmt For Information Fusion Collected Works Volume 5 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 2023-12-27 with Biography & Autobiography categories.


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.



Combination Of Evidence In Dempster Shafer Theory


Combination Of Evidence In Dempster Shafer Theory
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Author : Kari Sentz
language : en
Publisher:
Release Date : 2002

Combination Of Evidence In Dempster Shafer Theory written by Kari Sentz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Dempster-Shafer theory categories.


Dempster-Shafer theory offers an alternative to traditional probabilistic theory for the mathematical representation of uncertainty. The significant innovation of this framework is that it allows for the allocation of a probability mass to sets or intervals. Dempster-Shafer theory does not require an assumption regarding the probability of the individual constituents of the set or interval. This is a potentially valuable tool for the evaluation of risk and reliability in engineering applications when it is not possible to obtain a precise measurement from experiments, or when knowledge is obtained from expert elicitation. An important aspect of this theory is the combination of evidence obtained from multiple sources and the modeling of conflict between them. This report surveys a number of possible combination rules for Dempster-Shafer structures and provides examples of the implementation of these rules for discrete and interval-valued data.



Advances And Applications Of Dsmt For Information Fusion Collected Works Second Volume


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.





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Author :
language : en
Publisher: IOS Press
Release Date :

written by and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Generalized Combination Rule For Evidential Reasoning Approach And Dempster Shafer Theory Of Evidence


Generalized Combination Rule For Evidential Reasoning Approach And Dempster Shafer Theory Of Evidence
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Author : Yuan-Wei Du
language : en
Publisher: Infinite Study
Release Date :

Generalized Combination Rule For Evidential Reasoning Approach And Dempster Shafer Theory Of Evidence written by Yuan-Wei Du 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 Mathematics categories.


The Dempster–Shafer (DS) theory of evidence can combine evidence with one parameter. The evidential reasoning (ER) approach is an extension of DS theory that can combine evidence with two parameters (weights and reliabilities). However, it has three infeasible aspects: reliability dependence, unreliability effectiveness, and intergeneration inconsistency.



A New Generalization Of The Proportional Con Ict Redistribution Rule Stable In Terms Of Decision


A New Generalization Of The Proportional Con Ict Redistribution Rule Stable In Terms Of Decision
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Author : Arnaud Martin
language : en
Publisher: Infinite Study
Release Date :

A New Generalization Of The Proportional Con Ict Redistribution Rule Stable In Terms Of Decision written by Arnaud Martin 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 present and discuss a new generalized proportional conflict redistribution rule. The Dezert-Smarandache extension of the DempsterShafer theory has relaunched the studies on the combination rules especially for the management of the conflict. Many combination rules have been proposed in the last few years. We study here different combination rules and compare them in terms of decision on didactic example and on generated data. Indeed, in real applications, we need a reliable decision and it is the final results that matter. This chapter shows that a fine proportional conflict redistribution rule must be preferred for the combination in the belief function theory.



Symbolic And Quantitative Approaches To Reasoning With Uncertainty


Symbolic And Quantitative Approaches To Reasoning With Uncertainty
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Author : Weiru Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-24

Symbolic And Quantitative Approaches To Reasoning With Uncertainty written by Weiru Liu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Computers categories.


This book constitutes the refereed proceedings of the 11th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty, ECSQARU 2011, held in Belfast, UK, in June/July 2011. The 60 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 108 submissions. The papers are organized in topical sections on argumentation; Bayesian networks and causal networks; belief functions; belief revision and inconsistency handling; classification and clustering; default reasoning and logics for reasoning under uncertainty; foundations of reasoning and decision making under uncertainty; fuzzy sets and fuzzy logic; implementation and applications of uncertain systems; possibility theory and possibilistic logic; and uncertainty in databases.



Data Uncertainty And Important Measures


Data Uncertainty And Important Measures
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Author : Christophe Simon
language : en
Publisher: John Wiley & Sons
Release Date : 2018-01-19

Data Uncertainty And Important Measures written by Christophe Simon and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-19 with Mathematics categories.


The first part of the book defines the concept of uncertainties and the mathematical frameworks that will be used for uncertainty modeling. The application to system reliability assessment illustrates the concept. In the second part, evidential networks as a new tool to model uncertainty in reliability and risk analysis is proposed and described. Then it is applied on SIS performance assessment and in risk analysis of a heat sink. In the third part, Bayesian and evidential networks are used to deal with important measures evaluation in the context of uncertainties.



Fusion Of Heterogeneous Remote Sensing Images By Credibilist Methods


Fusion Of Heterogeneous Remote Sensing Images By Credibilist Methods
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Author : Imen HAMMAMI
language : en
Publisher: Infinite Study
Release Date :

Fusion Of Heterogeneous Remote Sensing Images By Credibilist Methods written by Imen HAMMAMI 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 Mathematics categories.


This thesis falls within the framework of a cotutelle agreement between the LabS-TICC laboratory of IMT Atlantique, Brest, France and the LIPAH laboratory of the Faculty of Sciences of Tunis, Tunisia. It would not have been possible without persistent help of a large number of peoples to whom I would like to convey my heartfelt gratitude.