Fusion Of Imprecise Qualitative Information

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Fusion of imprecise qualitative information

Author : Xinde Li ,Xianzhong Dai,Jean Dezert,Florentin Smarandache
Publisher : Infinite Study
Page : 12 pages
File Size : 54,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Fusion of imprecise qualitative information by Xinde Li ,Xianzhong Dai,Jean Dezert,Florentin Smarandache Pdf

In this paper, we present a new 2-tuple linguistic representation model, i.e. Distribution Function Model (DFM), for combining imprecise qualitative information using fusion rules drawn from Dezert-Smarandache Theory (DSmT) framework.

Fusion of qualitative information using imprecise 2 -tuple labels

Author : Xinde Li,Xinhan Huang,Jean Dezert,Florentin Smarandache,Li Duan
Publisher : Infinite Study
Page : 25 pages
File Size : 48,6 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Fusion of qualitative information using imprecise 2 -tuple labels by Xinde Li,Xinhan Huang,Jean Dezert,Florentin Smarandache,Li Duan Pdf

In this chapter, Herrera-Martınez 2-tuple linguistic representation model is extended for combining imprecise qualitative information using fusion rules drawn from Dezert-Smarandache Theory (DSmT) or from Dempster-Shafer Theory (DST) frameworks.

Fusion of imprecise qualitative information

Author : Xinde Li,Xianzhong Dai,Jean Dezert,Florentin Smarandache
Publisher : Infinite Study
Page : 12 pages
File Size : 48,6 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Fusion of imprecise qualitative information by Xinde Li,Xianzhong Dai,Jean Dezert,Florentin Smarandache Pdf

In this paper, we present a new 2-tuple linguistic representation model, i.e. Distribution Function Model (DFM), for combining imprecise qualitativeinformation using fusion rules drawn from Dezert-Smarandache Theory (DSmT) framework.

Advances and Applications of DSmT for Information Fusion, Vol. 3

Author : Florentin Smarandache,Jean Dezert
Publisher : Infinite Study
Page : 760 pages
File Size : 43,6 Mb
Release : 2004
Category : Science
ISBN : 9781599730738

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Advances and Applications of DSmT for Information Fusion, Vol. 3 by Florentin Smarandache,Jean Dezert Pdf

This volume has about 760 pages, split into 25 chapters, from 41 contributors. First part of this book presents advances of Dezert-Smarandache Theory (DSmT) which is becoming one of the most comprehensive and flexible fusion theory based on belief functions. It can work in all fusion spaces: power set, hyper-power set, and super-power set, and has various fusion and conditioning rules that can be applied depending on each application. Some new generalized rules are introduced in this volume with codes for implementing some of them. For the qualitative fusion, the DSm Field and Linear Algebra of Refined Labels (FLARL) is proposed which can convert any numerical fusion rule to a qualitative fusion rule. When one needs to work on a refined frame of discernment, the refinement is done using Smarandache¿s algebraic codification. New interpretations and implementations of the fusion rules based on sampling techniques and referee functions are proposed, including the probabilistic proportional conflict redistribution rule. A new probabilistic transformation of mass of belief is also presented which outperforms the classical pignistic transformation in term of probabilistic information content. The second part of the book presents applications of DSmT in target tracking, in satellite image fusion, in snow-avalanche risk assessment, in multi-biometric match score fusion, in assessment of an attribute information retrieved based on the sensor data or human originated information, in sensor management, in automatic goal allocation for a planetary rover, in computer-aided medical diagnosis, in multiple camera fusion for tracking objects on ground plane, in object identification, in fusion of Electronic Support Measures allegiance report, in map regenerating forest stands, etc.

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 : 54,5 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.

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

Author : Florentin Smarandache, Jean Dezert
Publisher : Infinite Study
Page : 506 pages
File Size : 43,9 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 : 41,7 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.

AN INTRODUCTION TO DSMT FOR INFORMATION FUSION

Author : Jean Dezert,Florentin Smarandache
Publisher : Infinite Study
Page : 12 pages
File Size : 45,6 Mb
Release : 2024-06-28
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.

Fusion of qualitative beliefs

Author : Florentin Smarandache,Jean Dezert
Publisher : Infinite Study
Page : 18 pages
File Size : 53,9 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Fusion of qualitative beliefs by Florentin Smarandache,Jean Dezert Pdf

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.

An Evidence Fusion Method with Importance Discounting Factors based on Neutrosophic Probability Analysis in DSmT Framework

Author : Qiang Guo ,Haipeng Wang,You He,Yong Deng,Florentin Smarandache
Publisher : Infinite Study
Page : 10 pages
File Size : 44,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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An Evidence Fusion Method with Importance Discounting Factors based on Neutrosophic Probability Analysis in DSmT Framework by Qiang Guo ,Haipeng Wang,You He,Yong Deng,Florentin Smarandache Pdf

To obtain effective fusion results of multi source evidences with different importance, an evidence fusion method with importance discounting factors based on neutrosopic probability analysis in DSmT framework is proposed.

Combination of Qualitative Information with 2-Tuple Linguistic Representation in Dezert-Smarandache Theory

Author : Xin-De Li,Florentin Smarandache,Jean Dezert, Xian-Zhong Dai
Publisher : Infinite Study
Page : 12 pages
File Size : 48,7 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Combination of Qualitative Information with 2-Tuple Linguistic Representation in Dezert-Smarandache Theory by Xin-De Li,Florentin Smarandache,Jean Dezert, Xian-Zhong Dai Pdf

Modern systems for information retrieval, fusion and management need to deal more and more with information coming from human experts usually expressed qualitatively in natural language with linguistic labels.

Neutrosophic Sets and Systems, vol. 17/2017

Author : Yingcang Ma,S. Broumi,Xiaohong Zhang,Evelyn Jazmín Henríquez Antepara,Surapati Pramanik,Florentin Smarandache,Wilmer Ortiz Choez,Qiang Guo
Publisher : Infinite Study
Page : 100 pages
File Size : 43,6 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Neutrosophic Sets and Systems, vol. 17/2017 by Yingcang Ma,S. Broumi,Xiaohong Zhang,Evelyn Jazmín Henríquez Antepara,Surapati Pramanik,Florentin Smarandache,Wilmer Ortiz Choez,Qiang Guo Pdf

“Neutrosophic Sets and Systems” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc.

High-Level Data Fusion

Author : Subrata Das
Publisher : Artech House
Page : 393 pages
File Size : 44,8 Mb
Release : 2008-01-01
Category : Computational intelligence
ISBN : 9781596932821

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High-Level Data Fusion by Subrata Das Pdf

The book explores object and situation fusion processes with an appropriate handling of uncertainties, and applies cutting-edge artificial intelligence and emerging technologies like particle filtering, spatiotemporal clustering, net-centricity, agent formalism, and distributed fusion together with essential Level 1 techniques and Level 1/2 interactions.

The Geometry of Uncertainty

Author : Fabio Cuzzolin
Publisher : Springer Nature
Page : 850 pages
File Size : 47,9 Mb
Release : 2020-12-17
Category : Computers
ISBN : 9783030631536

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The Geometry of Uncertainty by Fabio Cuzzolin Pdf

The principal aim of this book is to introduce to the widest possible audience an original view of belief calculus and uncertainty theory. In this geometric approach to uncertainty, uncertainty measures can be seen as points of a suitably complex geometric space, and manipulated in that space, for example, combined or conditioned. In the chapters in Part I, Theories of Uncertainty, the author offers an extensive recapitulation of the state of the art in the mathematics of uncertainty. This part of the book contains the most comprehensive summary to date of the whole of belief theory, with Chap. 4 outlining for the first time, and in a logical order, all the steps of the reasoning chain associated with modelling uncertainty using belief functions, in an attempt to provide a self-contained manual for the working scientist. In addition, the book proposes in Chap. 5 what is possibly the most detailed compendium available of all theories of uncertainty. Part II, The Geometry of Uncertainty, is the core of this book, as it introduces the author’s own geometric approach to uncertainty theory, starting with the geometry of belief functions: Chap. 7 studies the geometry of the space of belief functions, or belief space, both in terms of a simplex and in terms of its recursive bundle structure; Chap. 8 extends the analysis to Dempster’s rule of combination, introducing the notion of a conditional subspace and outlining a simple geometric construction for Dempster’s sum; Chap. 9 delves into the combinatorial properties of plausibility and commonality functions, as equivalent representations of the evidence carried by a belief function; then Chap. 10 starts extending the applicability of the geometric approach to other uncertainty measures, focusing in particular on possibility measures (consonant belief functions) and the related notion of a consistent belief function. The chapters in Part III, Geometric Interplays, are concerned with the interplay of uncertainty measures of different kinds, and the geometry of their relationship, with a particular focus on the approximation problem. Part IV, Geometric Reasoning, examines the application of the geometric approach to the various elements of the reasoning chain illustrated in Chap. 4, in particular conditioning and decision making. Part V concludes the book by outlining a future, complete statistical theory of random sets, future extensions of the geometric approach, and identifying high-impact applications to climate change, machine learning and artificial intelligence. The book is suitable for researchers in artificial intelligence, statistics, and applied science engaged with theories of uncertainty. The book is supported with the most comprehensive bibliography on belief and uncertainty theory.

Introduction to Imprecise Probabilities

Author : Thomas Augustin,Frank P. A. Coolen,Gert de Cooman,Matthias C. M. Troffaes
Publisher : John Wiley & Sons
Page : 452 pages
File Size : 42,6 Mb
Release : 2014-06-03
Category : Mathematics
ISBN : 9780470973813

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Introduction to Imprecise Probabilities by Thomas Augustin,Frank P. A. Coolen,Gert de Cooman,Matthias C. M. Troffaes Pdf

In recent years, the theory has become widely accepted and has been further developed, but a detailed introduction is needed in order to make the material available and accessible to a wide audience. This will be the first book providing such an introduction, covering core theory and recent developments which can be applied to many application areas. All authors of individual chapters are leading researchers on the specific topics, assuring high quality and up-to-date contents. An Introduction to Imprecise Probabilities provides a comprehensive introduction to imprecise probabilities, including theory and applications reflecting the current state if the art. Each chapter is written by experts on the respective topics, including: Sets of desirable gambles; Coherent lower (conditional) previsions; Special cases and links to literature; Decision making; Graphical models; Classification; Reliability and risk assessment; Statistical inference; Structural judgments; Aspects of implementation (including elicitation and computation); Models in finance; Game-theoretic probability; Stochastic processes (including Markov chains); Engineering applications. Essential reading for researchers in academia, research institutes and other organizations, as well as practitioners engaged in areas such as risk analysis and engineering.