Transformations Of Belief Masses Into Subjective Probabilities

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Transformations of belief masses into subjective probabilities

Author : Jean Dezert
Publisher : Infinite Study
ISBN 13 :
Total Pages : 53 pages
Book Rating : 4./5 ( download)

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Book Synopsis Transformations of belief masses into subjective probabilities by : Jean Dezert

Download or read book Transformations of belief masses into subjective probabilities written by Jean Dezert and published by Infinite Study. This book was released on with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A novel decision probability transformation method based on belief interval

Author : Zhan Deng
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis A novel decision probability transformation method based on belief interval by : Zhan Deng

Download or read book A novel decision probability transformation method based on belief interval written by Zhan Deng and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Dempster–Shafer evidence theory, the basic probability assignment (BPA) can effectively represent and process uncertain information. How to transform the BPA of uncertain information into a decision probability remains a problem to be solved. In the light of this issue, we develop a novel decision probability transformation method to realize the transition from the belief decision to the probability decision in the framework of Dempster–Shafer evidence theory. The newly proposed method considers the transformation of BPA with multi-subset focal elements from the perspective of the belief interval, and applies the continuous interval argument ordered weighted average operator to quantify the data information contained in the belief interval for each singleton. Afterward, we present an approach to calculate the support degree of the singleton based on quantitative data information. According to the support degree of the singleton, the BPA of multi-subset focal elements is allocated reasonably. Furthermore, we introduce the concepts of probabilistic information content in this paper, which is utilized to evaluate the performance of the decision probability transformation method. Eventually, a few numerical examples and a practical application are given to demonstrate the rationality and accuracy of our proposed method.

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

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4./5 ( download)

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Book Synopsis Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 4 by : Florentin Smarandache

Download or read book Advances and Applications of DSmT for Information Fusion. Collected Works, Volume 4 written by Florentin Smarandache and published by Infinite Study. This book was released on 2015-07-01 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1599730731
Total Pages : 760 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Advances and Applications of DSmT for Information Fusion, Vol. 3 by : Florentin Smarandache

Download or read book Advances and Applications of DSmT for Information Fusion, Vol. 3 written by Florentin Smarandache and published by Infinite Study. This book was released on 2004 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Decision Making Process

Author : Denis Bouyssou
Publisher : John Wiley & Sons
ISBN 13 : 1118619528
Total Pages : 671 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Decision Making Process by : Denis Bouyssou

Download or read book Decision Making Process written by Denis Bouyssou and published by John Wiley & Sons. This book was released on 2013-05-10 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Author : Florentin Smarandache, Jean Dezert
Publisher : Infinite Study
ISBN 13 : 1599733242
Total Pages : 506 pages
Book Rating : 4.5/5 (997 download)

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

Download or read book Advances and Applications of DSmT for Information Fusion, Vol. IV written by Florentin Smarandache, Jean Dezert and published by Infinite Study. This book was released on 2015-03-01 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Target type tracking with DSmP

Author : Jean Dezert
Publisher : Infinite Study
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4./5 ( download)

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Book Synopsis Target type tracking with DSmP by : Jean Dezert

Download or read book Target type tracking with DSmP written by Jean Dezert and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

A Generalized Pignistic Transformation

Author : Jean Dezert
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Generalized Pignistic Transformation by : Jean Dezert

Download or read book A Generalized Pignistic Transformation written by Jean Dezert and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Uncertainty Quantification with R

Author : Eduardo Souza de Cursi
Publisher : Springer Nature
ISBN 13 : 3031482085
Total Pages : 493 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Uncertainty Quantification with R by : Eduardo Souza de Cursi

Download or read book Uncertainty Quantification with R written by Eduardo Souza de Cursi and published by Springer Nature. This book was released on with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Engineering Geology and the Environment

Author : G.C. Koukis
Publisher : CRC Press
ISBN 13 : 9789058091970
Total Pages : 366 pages
Book Rating : 4.0/5 (919 download)

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Book Synopsis Engineering Geology and the Environment by : G.C. Koukis

Download or read book Engineering Geology and the Environment written by G.C. Koukis and published by CRC Press. This book was released on 1997-01-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Degrees of Belief

Author : Franz Huber
Publisher : Springer Science & Business Media
ISBN 13 : 1402091982
Total Pages : 352 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Degrees of Belief by : Franz Huber

Download or read book Degrees of Belief written by Franz Huber and published by Springer Science & Business Media. This book was released on 2008-12-21 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Degrees of Belief

Author : Steven G. Vick
Publisher : ASCE Publications
ISBN 13 : 0784470863
Total Pages : 469 pages
Book Rating : 4.7/5 (844 download)

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Book Synopsis Degrees of Belief by : Steven G. Vick

Download or read book Degrees of Belief written by Steven G. Vick and published by ASCE Publications. This book was released on 2002-01-01 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Advances and Applications of DSmT for Information Fusion (Collected works)

Author : Florentin Smarandache
Publisher : Infinite Study
ISBN 13 : 1931233829
Total Pages : 438 pages
Book Rating : 4.9/5 (312 download)

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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).

Fusion Methodologies in Crisis Management

Author : Galina Rogova
Publisher : Springer
ISBN 13 : 3319225278
Total Pages : 544 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Fusion Methodologies in Crisis Management by : Galina Rogova

Download or read book Fusion Methodologies in Crisis Management written by Galina Rogova and published by Springer. This book was released on 2016-01-21 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book emphasizes a contemporary view on the role of higher level fusion in designing crisis management systems, and provide the formal foundations, architecture and implementation strategies required for building dynamic current and future situational pictures, challenges of, and the state of the art computational approaches to designing such processes. This book integrates recent advances in decision theory with those in fusion methodology to define an end-to-end framework for decision support in crisis management. The text discusses modern fusion and decision support methods for dealing with heterogeneous and often unreliable, low fidelity, contradictory, and redundant data and information, as well as rare, unknown, unconventional or even unimaginable critical situations. Also the book examines the role of context in situation management, cognitive aspects of decision making and situation management, approaches to domain representation, visualization, as well as the role and exploitation of the social media. The editors include examples and case studies from the field of disaster management.

Sensor and Data Fusion

Author : Lawrence A. Klein
Publisher : SPIE Press
ISBN 13 : 9780819454355
Total Pages : 346 pages
Book Rating : 4.4/5 (543 download)

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Book Synopsis Sensor and Data Fusion by : Lawrence A. Klein

Download or read book Sensor and Data Fusion written by Lawrence A. Klein and published by SPIE Press. This book was released on 2004 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Processing and Management of Uncertainty in Knowledge-Based Systems

Author : Eyke Hüllermeier
Publisher : Springer Science & Business Media
ISBN 13 : 3642140548
Total Pages : 786 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Information Processing and Management of Uncertainty in Knowledge-Based Systems by : Eyke Hüllermeier

Download or read book Information Processing and Management of Uncertainty in Knowledge-Based Systems written by Eyke Hüllermeier and published by Springer Science & Business Media. This book was released on 2010-06-25 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Information Processing and Management of - certainty in Knowledge-Based Systems, IPMU, is organized every two years with the aim of bringing together scientists working on methods for the management of uncertainty and aggregation of information in intelligent systems. Since 1986, this conference has been providing a forum for the exchange of ideas between th theoreticians and practitioners working in these areas and related ?elds. The 13 IPMU conference took place in Dortmund, Germany, June 28–July 2, 2010. This volume contains 79 papers selected through a rigorous reviewing process. The contributions re?ect the richness of research on topics within the scope of the conference and represent several important developments, speci?cally focused on theoretical foundations and methods for information processing and management of uncertainty in knowledge-based systems. We were delighted that Melanie Mitchell (Portland State University, USA), Nihkil R. Pal (Indian Statistical Institute), Bernhard Sch ̈ olkopf (Max Planck I- titute for Biological Cybernetics, Tubing ̈ en, Germany) and Wolfgang Wahlster (German Research Center for Arti?cial Intelligence, Saarbruc ̈ ken) accepted our invitations to present keynote lectures. Jim Bezdek received the Kamp ́ede F ́ eriet Award, granted every two years on the occasion of the IPMU conference, in view of his eminent research contributions to the handling of uncertainty in clustering, data analysis and pattern recognition.

Probability and Social Science

Author : Daniel Courgeau
Publisher : Springer Science & Business Media
ISBN 13 : 9400728794
Total Pages : 333 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Probability and Social Science by : Daniel Courgeau

Download or read book Probability and Social Science written by Daniel Courgeau and published by Springer Science & Business Media. This book was released on 2012-02-22 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines in depth the methodological relationships that probability and statistics have maintained with the social sciences from their emergence. It covers both the history of thought and current methods. First it examines in detail the history of the different paradigms and axioms for probability, from their emergence in the seventeenth century up to the most recent developments of the three major concepts: objective, subjective and logicist probability. It shows the statistical inference they permit, different applications to social sciences and the main problems they encounter. On the other side, from social sciences—particularly population sciences—to probability, it shows the different uses they made of probabilistic concepts during their history, from the seventeenth century, according to their paradigms: cross-sectional, longitudinal, hierarchical, contextual and multilevel approaches. While the ties may have seemed loose at times, they have more often been very close: some advances in probability were driven by the search for answers to questions raised by the social sciences; conversely, the latter have made progress thanks to advances in probability. This dual approach sheds new light on the historical development of the social sciences and probability, and on the enduring relevance of their links. It permits also to solve a number of methodological problems encountered all along their history.