Facets Of Uncertainties And Applications

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Facets of Uncertainties and Applications

Author : Mihir K. Chakraborty,Andrzej Skowron,Manoranjan Maiti,Samarjit Kar
Publisher : Springer
Page : 343 pages
File Size : 51,8 Mb
Release : 2015-05-11
Category : Mathematics
ISBN : 9788132223016

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Facets of Uncertainties and Applications by Mihir K. Chakraborty,Andrzej Skowron,Manoranjan Maiti,Samarjit Kar Pdf

Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.

Facets of Uncertainties and Applications

Author : Mihir K. Chakraborty,Andrzej Skowron,Manoranjan Maiti,Samarjit Kar
Publisher : Unknown
Page : 128 pages
File Size : 44,7 Mb
Release : 2015
Category : Electronic
ISBN : 8132223020

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Facets of Uncertainties and Applications by Mihir K. Chakraborty,Andrzej Skowron,Manoranjan Maiti,Samarjit Kar Pdf

Since the emergence of the formal concept of probability theory in the seventeenth century, uncertainty has been perceived solely in terms of probability theory. However, this apparently unique link between uncertainty and probability theory has come under investigation a few decades back. Uncertainties are nowadays accepted to be of various kinds. Uncertainty in general could refer to different sense like not certainly known, questionable, problematic, vague, not definite or determined, ambiguous, liable to change, not reliable. In Indian languages, particularly in Sanskrit-based languages, there are other higher levels of uncertainties. It has been shown that several mathematical concepts such as the theory of fuzzy sets, theory of rough sets, evidence theory, possibility theory, theory of complex systems and complex network, theory of fuzzy measures and uncertainty theory can also successfully model uncertainty.

Uncertainty in Engineering

Author : Louis J. M. Aslett,Frank P. A. Coolen,Jasper De Bock
Publisher : Springer Nature
Page : 148 pages
File Size : 54,5 Mb
Release : 2022
Category : Electronic
ISBN : 9783030836405

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Uncertainty in Engineering by Louis J. M. Aslett,Frank P. A. Coolen,Jasper De Bock Pdf

This open access book provides an introduction to uncertainty quantification in engineering. Starting with preliminaries on Bayesian statistics and Monte Carlo methods, followed by material on imprecise probabilities, it then focuses on reliability theory and simulation methods for complex systems. The final two chapters discuss various aspects of aerospace engineering, considering stochastic model updating from an imprecise Bayesian perspective, and uncertainty quantification for aerospace flight modelling. Written by experts in the subject, and based on lectures given at the Second Training School of the European Research and Training Network UTOPIAE (Uncertainty Treatment and Optimization in Aerospace Engineering), which took place at Durham University (United Kingdom) from 2 to 6 July 2018, the book offers an essential resource for students as well as scientists and practitioners.

Applications of Uncertainty Formalisms

Author : Anthony Hunter,Simon D. Parsons
Publisher : Springer
Page : 474 pages
File Size : 41,6 Mb
Release : 2003-06-29
Category : Computers
ISBN : 9783540494263

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Applications of Uncertainty Formalisms by Anthony Hunter,Simon D. Parsons Pdf

An introductory review of uncertainty formalisms by the volume editors begins the volume. The first main part of the book introduces some of the general problems dealt with in research. The second part is devoted to case studies; each presentation in this category has a well-delineated application problem and an analyzed solution based on an uncertainty formalism. The final part reports on developments of uncertainty formalisms and supporting technology, such as automated reasoning systems, that are vital to making these formalisms applicable. The book ends with a useful subject index. There is considerable synergy between the papers presented. The representative collection of case studies and associated techniques make the volume a particularly coherent and valuable resource. It will be indispensable reading for researchers and professionals interested in the application of uncertainty formalisms as well as for newcomers to the topic.

Management of Uncertainty

Author : Gudela Grote
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 49,5 Mb
Release : 2009-09-17
Category : Business & Economics
ISBN : 9781848823730

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Management of Uncertainty by Gudela Grote Pdf

As I write, the financial systems of the world are collapsing with still no clear indication of what the consequences will be and which measures should be taken to avoid such a crisis in the future. There seems to be agreement though, that the financial instruments introduced in the past few decades entailed far too much complexity and uncertainty and that there was too little regulatory control over the use of these instruments. Management of uncertainty with the aim of achieving self-control is the core concern of this book. It was not written with a focus on financial systems, but many concepts developed in this book are applicable to this field as well. The - neric principles of reducing, maintaining or increasing uncertainties in view of the different contingencies an organization is faced with, the fundamental issue of how much control is possible and who should be in control, and the question of how much and what kind of regulation is necessary with the overall aim of finding an appropriate balance between system stability and flexibility are at the centre of heated debates on the future of finance.

Natural Hazard Uncertainty Assessment

Author : Karin Riley,Peter Webley,Matthew Thompson
Publisher : John Wiley & Sons
Page : 360 pages
File Size : 48,6 Mb
Release : 2016-11-15
Category : Science
ISBN : 9781119028109

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Natural Hazard Uncertainty Assessment by Karin Riley,Peter Webley,Matthew Thompson Pdf

Uncertainties are pervasive in natural hazards, and it is crucial to develop robust and meaningful approaches to characterize and communicate uncertainties to inform modeling efforts. In this monograph we provide a broad, cross-disciplinary overview of issues relating to uncertainties faced in natural hazard and risk assessment. We introduce some basic tenets of uncertainty analysis, discuss issues related to communication and decision support, and offer numerous examples of analyses and modeling approaches that vary by context and scope. Contributors include scientists from across the full breath of the natural hazard scientific community, from those in real-time analysis of natural hazards to those in the research community from academia and government. Key themes and highlights include: Substantial breadth and depth of analysis in terms of the types of natural hazards addressed, the disciplinary perspectives represented, and the number of studies included Targeted, application-centered analyses with a focus on development and use of modeling techniques to address various sources of uncertainty Emphasis on the impacts of climate change on natural hazard processes and outcomes Recommendations for cross-disciplinary and science transfer across natural hazard sciences This volume will be an excellent resource for those interested in the current work on uncertainty classification/quantification and will document common and emergent research themes to allow all to learn from each other and build a more connected but still diverse and ever growing community of scientists. Read an interview with the editors to find out more: https://eos.org/editors-vox/reducing-uncertainty-in-hazard-prediction

Applications of Mathematics of Uncertainty

Author : John N. Mordeson,Sunil Mathew,M. Binu
Publisher : Springer Nature
Page : 307 pages
File Size : 42,8 Mb
Release : 2021-11-17
Category : Technology & Engineering
ISBN : 9783030869960

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Applications of Mathematics of Uncertainty by John N. Mordeson,Sunil Mathew,M. Binu Pdf

This book provides an examination of major problems facing the world using mathematics of uncertainty. These problems include climate change, coronavirus pandemic, human tracking, biodiversity, and other grand challenges. Mathematics of uncertainty is used in a modern more general sense than traditional mathematics. Since accurate data is impossible to obtain concerning human tracking and other global problems, mathematics of uncertainty is an ideal discipline to study these problems. The authors place several scientific studies into different mathematical settings such as nonstandard analysis and soft logic. Fuzzy differentiation is used to model the spread of diseases such as the coronavirus. The book uses fuzzy graph theory to examine the problems of human tracking and illegal immigration. The book is an excellent reference source for advanced under-graduate and graduate students in mathematics and the social sciences as well as for researchers and teachers.

Optimization Under Uncertainty with Applications to Aerospace Engineering

Author : Massimiliano Vasile
Publisher : Springer Nature
Page : 573 pages
File Size : 55,7 Mb
Release : 2021-02-15
Category : Science
ISBN : 9783030601669

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Optimization Under Uncertainty with Applications to Aerospace Engineering by Massimiliano Vasile Pdf

In an expanding world with limited resources, optimization and uncertainty quantification have become a necessity when handling complex systems and processes. This book provides the foundational material necessary for those who wish to embark on advanced research at the limits of computability, collecting together lecture material from leading experts across the topics of optimization, uncertainty quantification and aerospace engineering. The aerospace sector in particular has stringent performance requirements on highly complex systems, for which solutions are expected to be optimal and reliable at the same time. The text covers a wide range of techniques and methods, from polynomial chaos expansions for uncertainty quantification to Bayesian and Imprecise Probability theories, and from Markov chains to surrogate models based on Gaussian processes. The book will serve as a valuable tool for practitioners, researchers and PhD students.

The Management of Uncertainty: Approaches, Methods and Applications

Author : Luc Wilkin,A. Sutton
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Business & Economics
ISBN : 9789400944589

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The Management of Uncertainty: Approaches, Methods and Applications by Luc Wilkin,A. Sutton Pdf

For thirty years, the literature on decision-making and planning has been divided into two camps : work premised on rational models of choice and work designed to discredit such models. The sustained critic of fully rational decision-making theories has al ready a long history and a constant message to deliver : in practice, consequential decision-making hardly fulfills the canons of perfect rationality. There is also evidence that decision-making and planning are not unitary processes. Although the concept of "decision-making" connotes the idea of a single process, making a single choice involves a complex of processing tasks : structuring the problem, finding alternatives worth considering, deciding what information is relevant, assessing various consequences, and a variety of others. The aim of this volume is to bring together and try to inter relate some of the concepts and relevant knowledge from various disciplines concerned with one important aspect of this complex process : the management of uncertainty. It is hardly necessary to reiterate the case made by numerous authors about our changing and increasingly uncertain world. Suffice it to say here that it is uncertainty about the future, and in many cases about the past and the present also, which makes decision-making and planning so difficul t. The management of uncertainty may be defined as the way in which uncertainty is treated and processed in decision-making.

Problem Solving and Uncertainty Modeling through Optimization and Soft Computing Applications

Author : Saxena, Pratiksha
Publisher : IGI Global
Page : 403 pages
File Size : 44,9 Mb
Release : 2016-03-01
Category : Mathematics
ISBN : 9781466698864

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Problem Solving and Uncertainty Modeling through Optimization and Soft Computing Applications by Saxena, Pratiksha Pdf

Optimization techniques have developed into a modern-day solution for real-world problems in various industries. As a way to improve performance and handle issues of uncertainty, optimization research becomes a topic of special interest across disciplines. Problem Solving and Uncertainty Modeling through Optimization and Soft Computing Applications presents the latest research trends and developments in the area of applied optimization methodologies and soft computing techniques for solving complex problems. Taking a multi-disciplinary approach, this critical publication is an essential reference source for engineers, managers, researchers, and post-graduate students.

Whys and Hows in Uncertainty Modelling

Author : Isaac Elishakoff
Publisher : Springer
Page : 391 pages
File Size : 46,7 Mb
Release : 2014-05-04
Category : Technology & Engineering
ISBN : 9783709125014

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Whys and Hows in Uncertainty Modelling by Isaac Elishakoff Pdf

This book presents, as a single package, three semingly contradictory and often competitive approaches to deal with ever present uncertainty in science and engineering. The book describes, as a unique view, probabilistic, fuzzy sets based and antioptimization based approaches, in order to remedy the present "tower ob Babel” situation, in which researchers in competing fields do not communicate. Integrative approach will attract scientists and engineers alike and provide a strong impetus towards integrative, hybrid approaches.

Dimensions of Uncertainty in Communication Engineering

Author : Ezio Biglieri
Publisher : Academic Press
Page : 292 pages
File Size : 55,5 Mb
Release : 2022-07-06
Category : Computers
ISBN : 9780323992763

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Dimensions of Uncertainty in Communication Engineering by Ezio Biglieri Pdf

Dimensions of Uncertainty in Communication Engineering is a comprehensive and self-contained introduction to the problems of nonaleatory uncertainty and the mathematical tools needed to solve them. The book gathers together tools derived from statistics, information theory, moment theory, interval analysis and probability boxes, dependence bounds, nonadditive measures, and Dempster–Shafer theory. While the book is mainly devoted to communication engineering, the techniques described are also of interest to other application areas, and commonalities to these are often alluded to through a number of references to books and research papers. This is an ideal supplementary book for courses in wireless communications, providing techniques for addressing epistemic uncertainty, as well as an important resource for researchers and industry engineers. Students and researchers in other fields such as statistics, financial mathematics, and transport theory will gain an overview and understanding on these methods relevant to their field. Uniquely brings together a variety of tools derived from statistics, information theory, moment theory, interval analysis and probability boxes, dependence bounds, nonadditive measures, and Dempster—Shafer theory Focuses on the essentials of various, wide-ranging methods with references to journal articles where more detail can be found if required Includes MIMO-related results throughout

Sensitivity and Uncertainty Analysis, Volume II

Author : Dan G. Cacuci,Mihaela Ionescu-Bujor,Ionel Michael Navon
Publisher : CRC Press
Page : 367 pages
File Size : 55,9 Mb
Release : 2005-05-16
Category : Mathematics
ISBN : 9780203483572

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Sensitivity and Uncertainty Analysis, Volume II by Dan G. Cacuci,Mihaela Ionescu-Bujor,Ionel Michael Navon Pdf

As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable scientific tools. Sensitivity and Uncertainty Analysis. Volume I: Theory focused on the mathematical underpinnings of two important methods for such analyses: the Adjoint Sensitivity Analysis Procedure and the Global Adjoint Sensitivity Analysis Procedure. This volume concentrates on the practical aspects of performing these analyses for large-scale systems. The applications addressed include two-phase flow problems, a radiative convective model for climate simulations, and large-scale models for numerical weather prediction.

Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications

Author : Massimiliano Vasile,Domenico Quagliarella
Publisher : Springer Nature
Page : 448 pages
File Size : 52,9 Mb
Release : 2022-01-27
Category : Technology & Engineering
ISBN : 9783030805425

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Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications by Massimiliano Vasile,Domenico Quagliarella Pdf

The 2020 International Conference on Uncertainty Quantification & Optimization gathered together internationally renowned researchers in the fields of optimization and uncertainty quantification. The resulting proceedings cover all related aspects of computational uncertainty management and optimization, with particular emphasis on aerospace engineering problems. The book contributions are organized under four major themes: Applications of Uncertainty in Aerospace & Engineering Imprecise Probability, Theory and Applications Robust and Reliability-Based Design Optimisation in Aerospace Engineering Uncertainty Quantification, Identification and Calibration in Aerospace Models This proceedings volume is useful across disciplines, as it brings the expertise of theoretical and application researchers together in a unified framework.

Integrated Uncertainty Management and Applications

Author : Van-Nam Huynh,Yoshiteru Nakamori,Jonathan Lawry,Masahiro Inuiguchi
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 52,7 Mb
Release : 2010-03-26
Category : Technology & Engineering
ISBN : 9783642119606

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Integrated Uncertainty Management and Applications by Van-Nam Huynh,Yoshiteru Nakamori,Jonathan Lawry,Masahiro Inuiguchi Pdf

Solving practical problems often requires the integration of information and knowledge from many different sources, taking into account uncertainty and impreciseness. The 2010 International Symposium on Integrated Uncertainty Management and Applications (IUM’2010), which takes place at the Japan Advanced Institute of Science and Technology (JAIST), Ishikawa, Japan, between 9th–11th April, is therefore conceived as a forum for the discussion and exchange of research results, ideas for and experience of application among researchers and practitioners involved with all aspects of uncertainty modelling and management.