# Data Fusion Mathematics

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## Data Fusion Mathematics

Author | : Jitendra R. Raol |

Publsiher | : CRC Press |

Total Pages | : 504 |

Release | : 2017-07 |

ISBN | : 9781138748637 |

Category | : Multisensor data fusion |

Language | : EN, FR, DE, ES & NL |

**Data Fusion Mathematics Book Excerpt:**

Fills the Existing Gap of Mathematics for Data Fusion Data fusion (DF) combines large amounts of information from a variety of sources and fuses this data algorithmically, logically and, if required intelligently, using artificial intelligence (AI). Also, known as sensor data fusion (SDF), the DF fusion system is an important component for use in various applications that include the monitoring of vehicles, aerospace systems, large-scale structures, and large industrial automation plants. Data Fusion Mathematics: Theory and Practice offers a comprehensive overview of data fusion, and provides a proper and adequate understanding of the basic mathematics directly related to DF. The material covered can be used for evaluation of the performances of any designed and developed DF systems. It tries to answer whether unified data fusion mathematics can evolve from various disparate mathematical concepts, and highlights mathematics that can add credibility to the data fusion process. Focuses on Mathematical Tools That Use Data Fusion This text explores the use of statistical/probabilistic signal/image processing, filtering, component analysis, image algebra, decision making, and neuro-FL-GA paradigms in studying, developing and validating data fusion processes (DFP). It covers major mathematical expressions, and formulae and equations as well as, where feasible, their derivations. It also discusses SDF concepts, DF models and architectures, aspects and methods of type 1 and 2 fuzzy logics, and related practical applications. In addition, the author covers soft computing paradigms that are finding increasing applications in multisensory DF approaches and applications. This book: Explores the use of interval type 2 fuzzy logic and ANFIS in DF Covers the mathematical treatment of many types of filtering algorithms, target-tracking methods, and kinematic DF methods Presents single and multi-sensor tracking and fusion mathematics Considers specific DF architectures in the context of decentralized systems Discusses information filtering, Bayesian approaches, several DF rules, image algebra and image fusion, decision fusion, and wireless sensor network (WSN) multimodality fusion Data Fusion Mathematics: Theory and Practice incorporates concepts, processes, methods, and approaches in data fusion that can help you with integrating DF mathematics and achieving higher levels of fusion activity, and clarity of performance. This text is geared toward researchers, scientists, teachers and practicing engineers interested and working in the multisensor data fusion area.

## Mathematics of Data Fusion

Author | : I.R. Goodman,R.P. Mahler,Hung T. Nguyen |

Publsiher | : Springer Science & Business Media |

Total Pages | : 508 |

Release | : 2013-03-14 |

ISBN | : 9401589291 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Mathematics of Data Fusion Book Excerpt:**

Data fusion or information fusion are names which have been primarily assigned to military-oriented problems. In military applications, typical data fusion problems are: multisensor, multitarget detection, object identification, tracking, threat assessment, mission assessment and mission planning, among many others. However, it is clear that the basic underlying concepts underlying such fusion procedures can often be used in nonmilitary applications as well. The purpose of this book is twofold: First, to point out present gaps in the way data fusion problems are conceptually treated. Second, to address this issue by exhibiting mathematical tools which treat combination of evidence in the presence of uncertainty in a more systematic and comprehensive way. These techniques are based essentially on two novel ideas relating to probability theory: the newly developed fields of random set theory and conditional and relational event algebra. This volume is intended to be both an update on research progress on data fusion and an introduction to potentially powerful new techniques: fuzzy logic, random set theory, and conditional and relational event algebra. Audience: This volume can be used as a reference book for researchers and practitioners in data fusion or expert systems theory, or for graduate students as text for a research seminar or graduate level course.

## Data Fusion Mathematics

Author | : Jitendra R. Raol |

Publsiher | : CRC Press |

Total Pages | : 600 |

Release | : 2015-08-27 |

ISBN | : 1498721028 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Data Fusion Mathematics Book Excerpt:**

Fills the Existing Gap of Mathematics for Data Fusion Data fusion (DF) combines large amounts of information from a variety of sources and fuses this data algorithmically, logically and, if required intelligently, using artificial intelligence (AI). Also, known as sensor data fusion (SDF), the DF fusion system is an important component for use in various applications that include the monitoring of vehicles, aerospace systems, large-scale structures, and large industrial automation plants. Data Fusion Mathematics: Theory and Practice offers a comprehensive overview of data fusion, and provides a proper and adequate understanding of the basic mathematics directly related to DF. The material covered can be used for evaluation of the performances of any designed and developed DF systems. It tries to answer whether unified data fusion mathematics can evolve from various disparate mathematical concepts, and highlights mathematics that can add credibility to the data fusion process. Focuses on Mathematical Tools That Use Data Fusion This text explores the use of statistical/probabilistic signal/image processing, filtering, component analysis, image algebra, decision making, and neuro-FL–GA paradigms in studying, developing and validating data fusion processes (DFP). It covers major mathematical expressions, and formulae and equations as well as, where feasible, their derivations. It also discusses SDF concepts, DF models and architectures, aspects and methods of type 1 and 2 fuzzy logics, and related practical applications. In addition, the author covers soft computing paradigms that are finding increasing applications in multisensory DF approaches and applications. This book: Explores the use of interval type 2 fuzzy logic and ANFIS in DF Covers the mathematical treatment of many types of filtering algorithms, target-tracking methods, and kinematic DF methods Presents single and multi-sensor tracking and fusion mathematics Considers specific DF architectures in the context of decentralized systems Discusses information filtering, Bayesian approaches, several DF rules, image algebra and image fusion, decision fusion, and wireless sensor network (WSN) multimodality fusion Data Fusion Mathematics: Theory and Practice incorporates concepts, processes, methods, and approaches in data fusion that can help you with integrating DF mathematics and achieving higher levels of fusion activity, and clarity of performance. This text is geared toward researchers, scientists, teachers and practicing engineers interested and working in the multisensor data fusion area.

## Mathematical Techniques in Multisensor Data Fusion

Author | : David Lee Hall,Sonya A. H. McMullen |

Publsiher | : Artech House |

Total Pages | : 449 |

Release | : 2004 |

ISBN | : 9781580533355 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Mathematical Techniques in Multisensor Data Fusion Book Excerpt:**

Since the publication of the first edition of this book, advances in algorithms, logic and software tools have transformed the field of data fusion. The latest edition covers these areas as well as smart agents, human computer interaction, cognitive aides to analysis and data system fusion control. data fusion system, this book guides you through the process of determining the trade-offs among competing data fusion algorithms, selecting commercial off-the-shelf (COTS) tools, and understanding when data fusion improves systems processing. Completely new chapters in this second edition explain data fusion system control, DARPA's recently developed TRIP model, and the latest applications of data fusion in data warehousing and medical equipment, as well as defence systems.

## Mathematics of Data Fusion

Author | : I.R. Goodman,R.P. Mahler,Hung T. Nguyen |

Publsiher | : Springer Science & Business Media |

Total Pages | : 538 |

Release | : 1997-08-31 |

ISBN | : 9780792346746 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Mathematics of Data Fusion Book Excerpt:**

Data fusion or information fusion are names which have been primarily assigned to military-oriented problems. In military applications, typical data fusion problems are: multisensor, multitarget detection, object identification, tracking, threat assessment, mission assessment and mission planning, among many others. However, it is clear that the basic underlying concepts underlying such fusion procedures can often be used in nonmilitary applications as well. The purpose of this book is twofold: First, to point out present gaps in the way data fusion problems are conceptually treated. Second, to address this issue by exhibiting mathematical tools which treat combination of evidence in the presence of uncertainty in a more systematic and comprehensive way. These techniques are based essentially on two novel ideas relating to probability theory: the newly developed fields of random set theory and conditional and relational event algebra. This volume is intended to be both an update on research progress on data fusion and an introduction to potentially powerful new techniques: fuzzy logic, random set theory, and conditional and relational event algebra. Audience: This volume can be used as a reference book for researchers and practitioners in data fusion or expert systems theory, or for graduate students as text for a research seminar or graduate level course.

## Data Fusion and Perception

Author | : Giacomo Della Riccia,Hanz-Joachim Lenz,Rudolf Kruse |

Publsiher | : Springer Science & Business Media |

Total Pages | : 268 |

Release | : 2001 |

ISBN | : 9783211836835 |

Category | : Business & Economics |

Language | : EN, FR, DE, ES & NL |

**Data Fusion and Perception Book Excerpt:**

This work is a collection of front-end research papers on data fusion and perceptions. Authors are leading European experts of Artificial Intelligence, Mathematical Statistics and/or Machine Learning. Area overlaps with "Intelligent Data Analysis”, which aims to unscramble latent structures in collected data: Statistical Learning, Model Selection, Information Fusion, Soccer Robots, Fuzzy Quantifiers, Emotions and Artifacts.

## Advanced Mathematical Computational Tools in Metrology V

Author | : P. Ciarlini |

Publsiher | : World Scientific |

Total Pages | : 396 |

Release | : 2001 |

ISBN | : 9789810244941 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Advanced Mathematical Computational Tools in Metrology V Book Excerpt:**

Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as on better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, will benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people in universities, research centers and industries who are involved in measurements and need advanced mathematical tools to solve their problems, and also to those developing such mathematical tools.

## Multisensor Data Fusion

Author | : David Hall,James Llinas |

Publsiher | : CRC Press |

Total Pages | : 564 |

Release | : 2001-06-20 |

ISBN | : 1420038540 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Multisensor Data Fusion Book Excerpt:**

The emerging technology of multisensor data fusion has a wide range of applications, both in Department of Defense (DoD) areas and in the civilian arena. The techniques of multisensor data fusion draw from an equally broad range of disciplines, including artificial intelligence, pattern recognition, and statistical estimation. With the rapid evolut

## Data Fusion for Situation Monitoring Incident Detection Alert and Response Management

Author | : E. Shahbazian,G. Rogova,P. Valin |

Publsiher | : IOS Press |

Total Pages | : 832 |

Release | : 2006-03-02 |

ISBN | : 1607501244 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Data Fusion for Situation Monitoring Incident Detection Alert and Response Management Book Excerpt:**

Data Fusion is a very broad interdisciplinary technology domain. It provides techniques and methods for; integrating information from multiple sources and using the complementarities of these detections to derive maximum information about the phenomenon being observed; analyzing and deriving the meaning of these observations and predicting possible consequences of the observed state of the environment; selecting the best course of action; and controlling the actions. Here, the focus is on the more mature phase of data fusion, namely the detection and identification / classification of phenomena being observed and exploitation of the related methods for Security-Related Civil Science and Technology (SST) applications. It is necessary to; expand on the data fusion methodology pertinent to Situation Monitoring, Incident Detection, Alert and Response Management; discuss some related Cognitive Engineering and visualization issues; provide an insight into the architectures and methodologies for building a data fusion system; discuss fusion approaches to image exploitation with emphasis on security applications; discuss novel distributed tracking approaches as a necessary step of situation monitoring and incident detection; and provide examples of real situations, in which data fusion can enhance incident detection, prevention and response capability. In order to give a logical presentation of the data fusion material, first the general concepts are highlighted (Fusion Methodology, Human Computer Interactions and Systems and Architectures), closing with several applications (Data Fusion for Imagery, Tracking and Sensor Fusion and Applications and Opportunities for Fusion).

## Multisensor Data Fusion

Author | : Edward Waltz,James Llinas |

Publsiher | : Artech House on Demand |

Total Pages | : 464 |

Release | : 1990-01-01 |

ISBN | : 9780890062777 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Multisensor Data Fusion Book Excerpt:**

An introduction to data fusion which employs both new and traditional communication and information theory, pattern recognition, image understanding, estimation theory, digital signal processing and artificial intelligence.

## Data fusion and sensor selection from imperfect sources with regards to the operating environment

Author | : Edwin El-Mahassni |

Publsiher | : Infinite Study |

Total Pages | : 14 |

Release | : 2022 |

ISBN | : 1928374650XXX |

Category | : Electronic Book |

Language | : EN, FR, DE, ES & NL |

**Data fusion and sensor selection from imperfect sources with regards to the operating environment Book Excerpt:**

The purpose of this paper is to extend the work of fusing sensors with a Bayesian method to incorporate the sensor’s reliability with regard to their operating environment.

## Advances and Applications of DSmT for Information Fusion Collected works second volume

Author | : Florentin Smarandache,Jean Dezert |

Publsiher | : Infinite Study |

Total Pages | : 442 |

Release | : 2006-01-01 |

ISBN | : 1599730006 |

Category | : Computer algorithms |

Language | : EN, FR, DE, ES & NL |

**Advances and Applications of DSmT for Information Fusion Collected works second volume Book Excerpt:**

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.

## Tracking and Sensor Data Fusion

Author | : Wolfgang Koch |

Publsiher | : Springer |

Total Pages | : 253 |

Release | : 2016-08-23 |

ISBN | : 9783662520161 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Tracking and Sensor Data Fusion Book Excerpt:**

Sensor Data Fusion is the process of combining incomplete and imperfect pieces of mutually complementary sensor information in such a way that a better understanding of an underlying real-world phenomenon is achieved. Typically, this insight is either unobtainable otherwise or a fusion result exceeds what can be produced from a single sensor output in accuracy, reliability, or cost. This book provides an introduction Sensor Data Fusion, as an information technology as well as a branch of engineering science and informatics. Part I presents a coherent methodological framework, thus providing the prerequisites for discussing selected applications in Part II of the book. The presentation mirrors the author's views on the subject and emphasizes his own contributions to the development of particular aspects. With some delay, Sensor Data Fusion is likely to develop along lines similar to the evolution of another modern key technology whose origin is in the military domain, the Internet. It is the author's firm conviction that until now, scientists and engineers have only scratched the surface of the vast range of opportunities for research, engineering, and product development that still waits to be explored: the Internet of the Sensors.

## Data Science in Practice

Author | : Alan Said,Vicenç Torra |

Publsiher | : Springer |

Total Pages | : 195 |

Release | : 2018-09-19 |

ISBN | : 3319975560 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Data Science in Practice Book Excerpt:**

This book approaches big data, artificial intelligence, machine learning, and business intelligence through the lens of Data Science. We have grown accustomed to seeing these terms mentioned time and time again in the mainstream media. However, our understanding of what they actually mean often remains limited. This book provides a general overview of the terms and approaches used broadly in data science, and provides detailed information on the underlying theories, models, and application scenarios. Divided into three main parts, it addresses what data science is; how and where it is used; and how it can be implemented using modern open source software. The book offers an essential guide to modern data science for all students, practitioners, developers and managers seeking a deeper understanding of how various aspects of data science work, and of how they can be employed to gain a competitive advantage.

## Mathematics in Science and Technology

Author | : A. H. Siddiqi |

Publsiher | : World Scientific |

Total Pages | : 558 |

Release | : 2011 |

ISBN | : 9814338826 |

Category | : Mathematics |

Language | : EN, FR, DE, ES & NL |

**Mathematics in Science and Technology Book Excerpt:**

This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate OCo independent hysteresis, numerical analysis of Hamilton Jacobi OCo Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.

## Mathematics in Industrial Problems

Author | : Avner Friedman |

Publsiher | : Springer Science & Business Media |

Total Pages | : 229 |

Release | : 2012-12-06 |

ISBN | : 1461383838 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Mathematics in Industrial Problems Book Excerpt:**

This is the sixth volume in the series "Mathematics in Industrial Prob lems. " The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots level"; that is, at the level of specific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufacture of new or improved products. At the same time, these prob lems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on the seminar presentations and on questions raised in subse quent discussions. Each chapter is devoted to one of the talks and is self contained. The chapters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems a partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in previous volumes, as well as references to papers in which such solutions have been published. The speakers in the seminar on Industrial Problems have given us at the IMA hours of delight and discovery. My thanks to Thomas Hoffend (3M), John Spence (Eastman Kodak Company), Marius Orlowski (Mo torola, Inc. ), Robert J.

## Manufacturing Intelligence for Industrial Engineering Methods for System Self Organization Learning and Adaptation

Author | : Zhou, Zude,Wang, Huaiqing,Lou, Ping |

Publsiher | : IGI Global |

Total Pages | : 407 |

Release | : 2010-03-31 |

ISBN | : 1605668656 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Manufacturing Intelligence for Industrial Engineering Methods for System Self Organization Learning and Adaptation Book Excerpt:**

"This book focuses on the latest innovations in the process of manufacturing in engineering"--Provided by publisher.

## Multi Robot Systems

Author | : Toshiyuki Yasuda |

Publsiher | : BoD – Books on Demand |

Total Pages | : 600 |

Release | : 2011-01-30 |

ISBN | : 9533074256 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Multi Robot Systems Book Excerpt:**

This book is a collection of 29 excellent works and comprised of three sections: task oriented approach, bio inspired approach, and modeling/design. In the first section, applications on formation, localization/mapping, and planning are introduced. The second section is on behavior-based approach by means of artificial intelligence techniques. The last section includes research articles on development of architectures and control systems.

## Data Fusion and Perception

Author | : Giacomo Della Riccia,Hanz-Joachim Lenz,Rudolf Kruse |

Publsiher | : Springer |

Total Pages | : 250 |

Release | : 2014-05-04 |

ISBN | : 3709125804 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Data Fusion and Perception Book Excerpt:**

This work is a collection of front-end research papers on data fusion and perceptions. Authors are leading European experts of Artificial Intelligence, Mathematical Statistics and/or Machine Learning. Area overlaps with "Intelligent Data Analysis”, which aims to unscramble latent structures in collected data: Statistical Learning, Model Selection, Information Fusion, Soccer Robots, Fuzzy Quantifiers, Emotions and Artifacts.

## Robot Arms

Author | : Satoru Goto |

Publsiher | : BoD – Books on Demand |

Total Pages | : 276 |

Release | : 2011-06-09 |

ISBN | : 9533071605 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Robot Arms Book Excerpt:**

Robot arms have been developing since 1960's, and those are widely used in industrial factories such as welding, painting, assembly, transportation, etc. Nowadays, the robot arms are indispensable for automation of factories. Moreover, applications of the robot arms are not limited to the industrial factory but expanded to living space or outer space. The robot arm is an integrated technology, and its technological elements are actuators, sensors, mechanism, control and system, etc.