Transformations Of Belief Masses Into Subjective Probabilities

Author : Jean Dezert, Florentin Smarandache
Publisher : Infinite Study
Page : 53 pages
File Size : 55,9 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Transformations of belief masses into subjective probabilities by Jean Dezert, Florentin Smarandache Pdf

In this chapter, we propose in the DSmT framework, a new probabilistic transformation, called DSmP, in order to build a subjective probability measure from any basic belief assignment defined on any model of the frame of discernment. Several examples are given to show how the DSmP transformation works and we compare it to main existing transformations proposed in the literature so far. We show the advantages of DSmP over classical transformations in term of Probabilistic Information Content (PIC). The direct extension of this transformation for dealing with qualitative belief assignments is also presented. This theoretical work must increase the performances of DSmT-based hard-decision based systems as well as in soft-decision based systems in many fields where it could be used, i.e. in biometrics, medicine, robotics, surveillance and threat assessment, multisensor-multitarget tracking for military and civilian applications, etc.

Author : Jean Dezer,Florentin Smarandache
Publisher : Infinite Study
Page : 8 pages
File Size : 46,8 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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A new probabilistic transformation of belief mass assignment by Jean Dezer,Florentin Smarandache Pdf

In this paper, we propose in Dezert-Smarandache Theory (DSmT) framework, a new probabilistic transformation, called DSmP, in order to build a subjective probability measure from any basic belief assignment defined on any model of the frame of discernment.

Author : Florentin Smarandache,Jean Dezert
Publisher : Infinite Study
Page : 760 pages
File Size : 45,9 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.

Author : Eduardo Souza de Cursi
Publisher : Springer Nature
Page : 493 pages
File Size : 51,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9783031482083

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Uncertainty Quantification with R by Eduardo Souza de Cursi Pdf

Author : Florentin Smarandache, Jean Dezert
Publisher : Infinite Study
Page : 506 pages
File Size : 55,6 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.

Author : Florentin Smarandache,Jean Dezert
Publisher : Infinite Study
Page : 506 pages
File Size : 44,6 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.

Author : Jean Dezert,Florentin Smarandache, Albena Tchamova,Pavlina Konstantinova
Publisher : Infinite Study
Page : 19 pages
File Size : 48,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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Target type tracking with DSmP by Jean Dezert,Florentin Smarandache, Albena Tchamova,Pavlina Konstantinova Pdf

In this chapter we analyze the performances of a new probabilistic belief transformation, denoted DSmP, for the sequential estimation of target ID from classifier outputs in the Target Type Tracking problem (TTT).

Author : Denis Bouyssou,Didier Dubois,Henri Prade,Marc Pirlot
Publisher : John Wiley & Sons
Page : 671 pages
File Size : 42,8 Mb
Release : 2013-05-10
Category : Business & Economics
ISBN : 9781118619520

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Decision Making Process by Denis Bouyssou,Didier Dubois,Henri Prade,Marc Pirlot Pdf

This book provides an overview of the main methods and results in the formal study of the human decision-making process, as defined in a relatively wide sense. A key aim of the approach contained here is to try to break down barriers between various disciplines encompassed by this field, including psychology, economics and computer science. All these approaches have contributed to progress in this very important and much-studied topic in the past, but none have proved sufficient so far to define a complete understanding of the highly complex processes and outcomes. This book provides the reader with state-of-the-art coverage of the field, essentially forming a roadmap to the field of decision analysis. The first part of the book is devoted to basic concepts and techniques for representing and solving decision problems, ranging from operational research to artificial intelligence. Later chapters provide an extensive overview of the decision-making process under conditions of risk and uncertainty. Finally, there are chapters covering various approaches to multi-criteria decision-making. Each chapter is written by experts in the topic concerned, and contains an extensive bibliography for further reading and reference.

Author : Jean Dezert,Florentin Smarandache,Milan Danie
Publisher : Infinite Study
Page : 12 pages
File Size : 41,5 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX

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A Generalized Pignistic Transformation by Jean Dezert,Florentin Smarandache,Milan Danie Pdf

This chapter introduces a generalized pignistic transformation (GPT) developed in the DSmT framework as a tool for decision-making at the pignistic level. The GPT allows to construct quite easily a subjective probability measure from any generalized basic belief assignment provided by any corpus of evidence. We focus our presentation on the 3D case and we provide the full result obtained by the proposed GPT and its validation drawn from the probability theory.

Author : Rajendra P. Srivastava,Theodore J. Mock
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 53,7 Mb
Release : 2002-03-25
Category : Business & Economics
ISBN : 3790814512

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Belief Functions in Business Decisions by Rajendra P. Srivastava,Theodore J. Mock Pdf

The book focuses on applications of belief functions to business decisions. Section I introduces the intuitive, conceptual and historical development of belief functions. Three different interpretations (the marginally correct approximation, the qualitative model, and the quantitative model) of belief functions are investigated, and rough set theory and structured query language (SQL) are used to express belief function semantics. Section II presents applications of belief functions in information systems and auditing. Included are discussions on how a belief-function framework provides a more efficient and effective audit methodology and also the appropriateness of belief functions to represent uncertainties in audit evidence. The third section deals with applications of belief functions to mergers and acquisitions; financial analysis of engineering enterprises; forecast demand for mobile satellite services; modeling financial portfolios; and economics.

Author : G.C. Koukis,P.G. Marinos,G.C. Stourna,G.C. Tsiambaos
Publisher : CRC Press
Page : 366 pages
File Size : 42,6 Mb
Release : 1997-01-01
Category : Science
ISBN : 905809197X

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Engineering Geology and the Environment by G.C. Koukis,P.G. Marinos,G.C. Stourna,G.C. Tsiambaos Pdf

Composed of the proceedings of a symposium on engineering geology and the environment, held in Athens in June, 1997, this work provides a survey of trends in engineering geology, and an interdisciplinary collaboration with hydrogeology, geochemistry, geomorphology, and soil and rock mechanics.

Author : Florentin Smarandache,Jean Dezert
Publisher : Infinite Study
Page : 438 pages
File Size : 52,5 Mb
Release : 2004
Category : Computers
ISBN : 9781931233828

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Advances and Applications of DSmT for Information Fusion (Collected works) by Florentin Smarandache,Jean Dezert Pdf

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).

Author : Franz Huber,Christoph Schmidt-Petri
Publisher : Springer Science & Business Media
Page : 352 pages
File Size : 43,8 Mb
Release : 2008-12-21
Category : Philosophy
ISBN : 9781402091988

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Degrees of Belief by Franz Huber,Christoph Schmidt-Petri Pdf

This anthology is the first book to give a balanced overview of the competing theories of degrees of belief. It also explicitly relates these debates to more traditional concerns of the philosophy of language and mind and epistemic logic.

Author : Steven G. Vick
Publisher : ASCE Publications
Page : 469 pages
File Size : 51,6 Mb
Release : 2002-01-01
Category : Technology & Engineering
ISBN : 9780784470862

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Degrees of Belief by Steven G. Vick Pdf

Observing at a risk analysis conference for civil engineers that participants did not share a common language of probability, Vick, a consultant and geotechnic engineer, set out to not only examine why, but to also bridge the gap. He reexamines three elements at the core of engineering the concepts

Author : Lawrence A. Klein
Publisher : SPIE Press
Page : 346 pages
File Size : 45,9 Mb
Release : 2004
Category : Technology & Engineering
ISBN : 0819454354

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Sensor and Data Fusion by Lawrence A. Klein Pdf

This book illustrates the benefits of sensor fusion by considering the characteristics of infrared, microwave, and millimeter-wave sensors, including the influence of the atmosphere on their performance. Applications that benefit from this technology include: vehicular traffic management, remote sensing, target classification and tracking- weather forecasting- military and homeland defense. Covering data fusion algorithms in detail, Klein includes a summary of the information required to implement each of the algorithms discussed, and outlines system application scenarios that may limit sensor size but that require high resolution data.