On The Validity Of Dempster S Rule Of Combination Of Evidence

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On The Validity of Dempster's Rule of Combination of Evidence

Author : Lotfi A. Zadeh
Publisher : Infinite Study
Page : 15 pages
File Size : 40,8 Mb
Release : 1979-10-01
Category : Mathematics
ISBN : 8210379456XXX

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On The Validity of Dempster's Rule of Combination of Evidence by Lotfi A. Zadeh Pdf

In a seminal paper published in 1967, Dempster has described a rule for combining independent sources of information. More recently, Dempster's rule has been employed as a basis for a mathematical theory of evidence. It is suggested in this note that there is a serious flaw in Dempster's rule which restricts its use in many applications.

On the Behavior of Dempster’s Rule of Combination and the Foundations of Dempster-Shafer Theory

Author : Albena Tchamova,Jean Dezert
Publisher : Infinite Study
Page : 6 pages
File Size : 44,5 Mb
Release : 2012-04-16
Category : Mathematics
ISBN : 8210379456XXX

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On the Behavior of Dempster’s Rule of Combination and the Foundations of Dempster-Shafer Theory by Albena Tchamova,Jean Dezert Pdf

On the base of simple emblematic example we analyze and explain the inconsistent and inadequate behavior of Dempster-Shafer’s rule of combination as a valid method to combine sources of evidences. We identify the cause and the effect of the dictatorial power behavior of this rule and of its impossibility to manage the conflicts between the sources. For a comparison purpose, we present the respective solution obtained by the more efficient PCR5 fusion rule proposed originally in Dezert-Smarandache Theory framework. Finally, we identify and prove the inherent contradiction of Dempster-Shafer Theory foundations.

On conjunctive and disjunctive combination rules of evidence

Author : Hongyan Sun, Mohamad Farooq
Publisher : Infinite Study
Page : 31 pages
File Size : 50,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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On conjunctive and disjunctive combination rules of evidence by Hongyan Sun, Mohamad Farooq Pdf

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.

Flexible Risk Evidence Combination Rules in Breast Cancer Precision Therapy

Author : Michael Kenn,Rudolf Karch,Christian F. Singer,Georg Dorffner,Wolfgang Schreiner
Publisher : Infinite Study
Page : 16 pages
File Size : 54,6 Mb
Release : 2023-01-01
Category : Medical
ISBN : 8210379456XXX

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Flexible Risk Evidence Combination Rules in Breast Cancer Precision Therapy by Michael Kenn,Rudolf Karch,Christian F. Singer,Georg Dorffner,Wolfgang Schreiner Pdf

Evidence theory by Dempster-Shafer for determination of hormone receptor status in breast cancer samples was introduced in our previous paper. One major topic pointed out here is the link between pieces of evidence found from different origins. In this paper the challenge of selecting appropriate ways of fusing evidence, depending on the type and quality of data involved is addressed. A parameterized family of evidence combination rules, covering the full range of potential needs, from emphasizing discrepancies in the measurements to aspiring accordance, is covered. The consequences for real patient samples are shown by modeling different decision strategies.

Advances and Applications of DSmT for Information Fusion (Collected Works. Volume 5)

Author : Florentin Smarandache,Jean Dezert,Albena Tchamova
Publisher : Infinite Study
Page : 932 pages
File Size : 50,6 Mb
Release : 2023-12-27
Category : Biography & Autobiography
ISBN : 8210379456XXX

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Advances and Applications of DSmT for Information Fusion (Collected Works. Volume 5) by Florentin Smarandache,Jean Dezert,Albena Tchamova Pdf

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.

Target Type Tracking with Different Fusion Rules: A Comparative Analysis

Author : J. Dezert,A. Tchamova,P. Konstantinova, Florentin Smarandache
Publisher : Infinite Study
Page : 21 pages
File Size : 47,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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Target Type Tracking with Different Fusion Rules: A Comparative Analysis by J. Dezert,A. Tchamova,P. Konstantinova, Florentin Smarandache Pdf

We analyze the behavior of several combinational rules for temporal/sequential attribute data fusion for target type estimation. Our comparative analysis is based on: Dempster’s fusion rule, Proportional Conflict Redistribution rule no. 5 (PCR5), Symmetric Adaptive Combination (SAC) rule and a new fusion rule, based on fuzzy T-conorm and T-norm operators (TCN).

Advances and Applications of DSmT for Information Fusion, Vol. IV

Author : Florentin Smarandache, Jean Dezert
Publisher : Infinite Study
Page : 506 pages
File Size : 40,7 Mb
Release : 2015-03-01
Category : Electronic
ISBN : 9781599733241

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Advances and Applications of DSmT for Information Fusion, Vol. IV by Florentin Smarandache, Jean Dezert Pdf

The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions (see List of Articles published in this book, at the end of the volume) have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) ininternational conferences, seminars, workshops and journals.

Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 4

Author : Florentin Smarandache,Jean Dezert
Publisher : Infinite Study
Page : 506 pages
File Size : 53,8 Mb
Release : 2015-07-01
Category : Mathematics
ISBN : 8210379456XXX

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Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 4 by Florentin Smarandache,Jean Dezert Pdf

The fourth volume on Advances and Applications of Dezert-Smarandache Theory (DSmT) for information fusion collects theoretical and applied contributions of researchers working in different fields of applications and in mathematics. The contributions have been published or presented after disseminating the third volume (2009, http://fs.gallup.unm.edu/DSmT-book3.pdf) in international conferences, seminars, workshops and journals.

DSmT: A new paradigm shift for information fusion

Author : J. Dezert, F. Smarandache
Publisher : Infinite Study
Page : 11 pages
File Size : 54,6 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 8210379456XXX

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DSmT: A new paradigm shift for information fusion by J. Dezert, F. Smarandache Pdf

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.

Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems

Author : Chakraverty, S.
Publisher : IGI Global
Page : 442 pages
File Size : 54,9 Mb
Release : 2014-01-31
Category : Mathematics
ISBN : 9781466649927

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Mathematics of Uncertainty Modeling in the Analysis of Engineering and Science Problems by Chakraverty, S. Pdf

"This book provides the reader with basic concepts for soft computing and other methods for various means of uncertainty in handling solutions, analysis, and applications"--Provided by publisher.

Multiple Criteria Decision Making

Author : Y. Ilker Topcu,Özay Özaydın,Özgür Kabak,Şule Önsel Ekici
Publisher : Springer Nature
Page : 413 pages
File Size : 50,5 Mb
Release : 2021-03-24
Category : Business & Economics
ISBN : 9783030524067

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Multiple Criteria Decision Making by Y. Ilker Topcu,Özay Özaydın,Özgür Kabak,Şule Önsel Ekici Pdf

Data and its processed state 'information' have become an indispensable resource for virtually all aspects of business, education, etc. Consequently, decisions regarding the handling of this data, transforming it into meaningful information, and ultimately arriving at the best course of action have taken on a new importance. This book highlights a selection of cutting-edge research on decision making presented at the 25th International Conference on Multiple Criteria Decision Making (MCDM 2019), held in Istanbul, Turkey.

AN INTRODUCTION TO DSMT FOR INFORMATION FUSION

Author : Jean Dezert,Florentin Smarandache
Publisher : Infinite Study
Page : 12 pages
File Size : 46,9 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX

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AN INTRODUCTION TO DSMT FOR INFORMATION FUSION by Jean Dezert,Florentin Smarandache Pdf

In this short paper, we present an introduction 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 of DSmT available in literature. Several simple examples are given throughout this presentation to show the efficiency and the generality of this new theory.

Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science)

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 802 pages
File Size : 43,7 Mb
Release : 2010
Category : Science
ISBN : 9789526734927

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Multispace & Multistructure. Neutrosophic Transdisciplinarity (100 Collected Papers of Science) by Florentin Smarandache Pdf

This is an eclectic tome of 100 papers in various fields of sciences, alphabetically listed, such as: astronomy, biology, calculus, chemistry, computer programming codification, economics and business and politics, education and administration, game theory, geometry, graph theory,information fusion, neutrosophic logic and set, non-Euclidean geometry, number theory, paradoxes, philosophy of science, psychology, quantum physics, scientific research methods, and statistics ¿ containing 800 pages.It was my preoccupation and collaboration as author, co-author, translator, or co-translator, and editor with many scientists from around the world for long time. Many ideas from this book are to be developed and expanded in future explorations.

Networked Multisensor Decision and Estimation Fusion

Author : Yunmin Zhu,Jie Zhou,Xiaojing Shen,Enbin Song,Yingting Luo
Publisher : CRC Press
Page : 442 pages
File Size : 42,8 Mb
Release : 2012-07-05
Category : Computers
ISBN : 9781466576001

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Networked Multisensor Decision and Estimation Fusion by Yunmin Zhu,Jie Zhou,Xiaojing Shen,Enbin Song,Yingting Luo Pdf

Due to the increased capability, reliability, robustness, and survivability of systems with multiple distributed sensors, multi-source information fusion has become a crucial technique in a growing number of areas-including sensor networks, space technology, air traffic control, military engineering, agriculture and environmental engineering, and i