Advances In The Theory Of Probabilistic And Fuzzy Data Scientific Methods With Applications

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Advances in the Theory of Probabilistic and Fuzzy Data Scientific Methods with Applications

Author : József Dombi
Publisher : Springer Nature
ISBN 13 : 303051949X
Total Pages : 201 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Advances in the Theory of Probabilistic and Fuzzy Data Scientific Methods with Applications by : József Dombi

Download or read book Advances in the Theory of Probabilistic and Fuzzy Data Scientific Methods with Applications written by József Dombi and published by Springer Nature. This book was released on 2020-08-11 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the advanced soft computational and probabilistic methods that the authors have published over the past few years. It describes theoretical results and applications, and discusses how various uncertainty measures – probability, plausibility and belief measures – can be treated in a unified way. It also examines approximations of four notable probability distributions (Weibull, exponential, logistic and normal) using a unified probability distribution function, and presents a fuzzy arithmetic-based time series model that provides an easy-to-use forecasting technique. Lastly, it proposes flexible fuzzy numbers for Likert scale-based evaluations. Featuring methods that can be successfully applied in a variety of areas, including engineering, economics, biology and the medical sciences, the book offers useful guidelines for practitioners and researchers.

Fuzzy Logic and Probability Applications

Author : Timothy J. Ross
Publisher : SIAM
ISBN 13 : 0898715253
Total Pages : 424 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Fuzzy Logic and Probability Applications by : Timothy J. Ross

Download or read book Fuzzy Logic and Probability Applications written by Timothy J. Ross and published by SIAM. This book was released on 2002-01-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two.

Advances in Fuzzy Sets, Possibility Theory, and Applications

Author : P.P. Wang
Publisher : Springer Science & Business Media
ISBN 13 : 1461337542
Total Pages : 421 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Advances in Fuzzy Sets, Possibility Theory, and Applications by : P.P. Wang

Download or read book Advances in Fuzzy Sets, Possibility Theory, and Applications written by P.P. Wang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its inception by Professor Lotfi Zadeh about 18 years ago, the theory of fuzzy sets has evolved in many directions, and is finding applications in a wide variety of fields in which the phenomena under study are too complex or too ill-defined to be analyzed by conventional techniques. Thus, by providing a basis for a systematic approach to approximate reasoning and inexact inference, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, engineering, law, medicine, decision-analysis, information retrieval, and artificial intelli gence. This volume consists of 24 selected papers invited by the editor, Professor Paul P. Wang. These papers cover the theory and applications of fuzzy sets, almost equal in number. We are very fortunate to have Professor A. Kaufmann to contribute an overview paper of the advances in fuzzy sets. One special feature of this volume is the strong participation of Chinese researchers in this area. The fact is that Chinese mathematicians, scientists and engineers have made important contributions to the theory and applications of fuzzy sets through the past decade. However, not until the visit of Professor A. Kaufmann to China in 1974 and again in 1980, did the Western World become fully aware of the important work of Chinese researchers. Now, Professor Paul Wang has initiated the effort to document these important contributions in this volume to expose them to the western researchers.

Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications

Author : Olga Kosheleva
Publisher : Springer Nature
ISBN 13 : 3030310418
Total Pages : 638 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications by : Olga Kosheleva

Download or read book Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy etc. Methods and Their Applications written by Olga Kosheleva and published by Springer Nature. This book was released on 2020-02-28 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data processing has become essential to modern civilization. The original data for this processing comes from measurements or from experts, and both sources are subject to uncertainty. Traditionally, probabilistic methods have been used to process uncertainty. However, in many practical situations, we do not know the corresponding probabilities: in measurements, we often only know the upper bound on the measurement errors; this is known as interval uncertainty. In turn, expert estimates often include imprecise (fuzzy) words from natural language such as "small"; this is known as fuzzy uncertainty. In this book, leading specialists on interval, fuzzy, probabilistic uncertainty and their combination describe state-of-the-art developments in their research areas. Accordingly, the book offers a valuable guide for researchers and practitioners interested in data processing under uncertainty, and an introduction to the latest trends and techniques in this area, suitable for graduate students.

Fuzzy Probabilities

Author : James J. Buckley
Publisher : Physica
ISBN 13 : 3642867863
Total Pages : 168 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Fuzzy Probabilities by : James J. Buckley

Download or read book Fuzzy Probabilities written by James J. Buckley and published by Physica. This book was released on 2012-12-06 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: In probability and statistics we often have to estimate probabilities and parameters in probability distributions using a random sample. Instead of using a point estimate calculated from the data we propose using fuzzy numbers which are constructed from a set of confidence intervals. In probability calculations we apply constrained fuzzy arithmetic because probabilities must add to one. Fuzzy random variables have fuzzy distributions. A fuzzy normal random variable has the normal distribution with fuzzy number mean and variance. Applications are to queuing theory, Markov chains, inventory control, decision theory and reliability theory.

Fuzzy Statistical Decision-Making

Author : Cengiz Kahraman
Publisher : Springer
ISBN 13 : 3319390147
Total Pages : 358 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Fuzzy Statistical Decision-Making by : Cengiz Kahraman

Download or read book Fuzzy Statistical Decision-Making written by Cengiz Kahraman and published by Springer. This book was released on 2016-07-15 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive reference guide to fuzzy statistics and fuzzy decision-making techniques. It provides readers with all the necessary tools for making statistical inference in the case of incomplete information or insufficient data, where classical statistics cannot be applied. The respective chapters, written by prominent researchers, explain a wealth of both basic and advanced concepts including: fuzzy probability distributions, fuzzy frequency distributions, fuzzy Bayesian inference, fuzzy mean, mode and median, fuzzy dispersion, fuzzy p-value, and many others. To foster a better understanding, all the chapters include relevant numerical examples or case studies. Taken together, they form an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on fuzzy statistics. Moreover, by extending all the main aspects of classical statistical decision-making to its fuzzy counterpart, the book presents a dynamic snapshot of the field that is expected to stimulate new directions, ideas and developments.

Handbook of Research on Advances and Applications of Fuzzy Sets and Logic

Author : Broumi, Said
Publisher : IGI Global
ISBN 13 : 179987981X
Total Pages : 944 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Advances and Applications of Fuzzy Sets and Logic by : Broumi, Said

Download or read book Handbook of Research on Advances and Applications of Fuzzy Sets and Logic written by Broumi, Said and published by IGI Global. This book was released on 2022-03-04 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy logic, which is based on the concept of fuzzy set, has enabled scientists to create models under conditions of imprecision, vagueness, or both at once. As a result, it has now found many important applications in almost all sectors of human activity, becoming a complementary feature and supporter of probability theory, which is suitable for modelling situations of uncertainty derived from randomness. Fuzzy mathematics has also significantly developed at the theoretical level, providing important insights into branches of traditional mathematics like algebra, analysis, geometry, topology, and more. With such widespread applications, fuzzy sets and logic are an important area of focus in mathematics. The Handbook of Research on Advances and Applications of Fuzzy Sets and Logic studies recent theoretical advances of fuzzy sets and numbers, fuzzy systems, fuzzy logic and their generalizations, extensions, and more. This book also explores the applications of fuzzy sets and logic applied to science, technology, and everyday life to further provide research on the subject. This book is ideal for mathematicians, physicists, computer specialists, engineers, practitioners, researchers, academicians, and students who are looking to learn more about fuzzy sets, fuzzy logic, and their applications.

Modeling Uncertainty with Fuzzy Logic

Author : Asli Celikyilmaz
Publisher : Springer
ISBN 13 : 3540899243
Total Pages : 443 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Modeling Uncertainty with Fuzzy Logic by : Asli Celikyilmaz

Download or read book Modeling Uncertainty with Fuzzy Logic written by Asli Celikyilmaz and published by Springer. This book was released on 2009-04-01 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world we live in is pervaded with uncertainty and imprecision. Is it likely to rain this afternoon? Should I take an umbrella with me? Will I be able to find parking near the campus? Should I go by bus? Such simple questions are a c- mon occurrence in our daily lives. Less simple examples: What is the probability that the price of oil will rise sharply in the near future? Should I buy Chevron stock? What are the chances that a bailout of GM, Ford and Chrysler will not s- ceed? What will be the consequences? Note that the examples in question involve both uncertainty and imprecision. In the real world, this is the norm rather than exception. There is a deep-seated tradition in science of employing probability theory, and only probability theory, to deal with uncertainty and imprecision. The mon- oly of probability theory came to an end when fuzzy logic made its debut. H- ever, this is by no means a widely accepted view. The belief persists, especially within the probability community, that probability theory is all that is needed to deal with uncertainty. To quote a prominent Bayesian, Professor Dennis Lindley, “The only satisfactory description of uncertainty is probability.

Fuzzy Probability and Statistics

Author : James J. Buckley
Publisher : Springer
ISBN 13 : 3540331905
Total Pages : 262 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Fuzzy Probability and Statistics by : James J. Buckley

Download or read book Fuzzy Probability and Statistics written by James J. Buckley and published by Springer. This book was released on 2008-09-12 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines material from our previous books FP (Fuzzy Probabilities: New Approach and Applications,Physica-Verlag, 2003) and FS (Fuzzy Statistics, Springer, 2004), plus has about one third new results. From FP we have material on basic fuzzy probability, discrete (fuzzy Poisson,binomial) and continuous (uniform, normal, exponential) fuzzy random variables. From FS we included chapters on fuzzy estimation and fuzzy hypothesis testing related to means, variances, proportions, correlation and regression. New material includes fuzzy estimators for arrival and service rates, and the uniform distribution, with applications in fuzzy queuing theory. Also, new to this book, is three chapters on fuzzy maximum entropy (imprecise side conditions) estimators producing fuzzy distributions and crisp discrete/continuous distributions. Other new results are: (1) two chapters on fuzzy ANOVA (one-way and two-way); (2) random fuzzy numbers with applications to fuzzy Monte Carlo studies; and (3) a fuzzy nonparametric estimator for the median.

Advances in Type-2 Fuzzy Sets and Systems

Author : Alireza Sadeghian
Publisher : Springer
ISBN 13 : 1461466660
Total Pages : 263 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Advances in Type-2 Fuzzy Sets and Systems by : Alireza Sadeghian

Download or read book Advances in Type-2 Fuzzy Sets and Systems written by Alireza Sadeghian and published by Springer. This book was released on 2013-06-25 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores recent developments in the theoretical foundations and novel applications of general and interval type-2 fuzzy sets and systems, including: algebraic properties of type-2 fuzzy sets, geometric-based definition of type-2 fuzzy set operators, generalizations of the continuous KM algorithm, adaptiveness and novelty of interval type-2 fuzzy logic controllers, relations between conceptual spaces and type-2 fuzzy sets, type-2 fuzzy logic systems versus perceptual computers; modeling human perception of real world concepts with type-2 fuzzy sets, different methods for generating membership functions of interval and general type-2 fuzzy sets, and applications of interval type-2 fuzzy sets to control, machine tooling, image processing and diet. The applications demonstrate the appropriateness of using type-2 fuzzy sets and systems in real world problems that are characterized by different degrees of uncertainty.

Theory and Applications of Ordered Fuzzy Numbers

Author : Piotr Prokopowicz
Publisher : Springer
ISBN 13 : 3319596144
Total Pages : 330 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Theory and Applications of Ordered Fuzzy Numbers by : Piotr Prokopowicz

Download or read book Theory and Applications of Ordered Fuzzy Numbers written by Piotr Prokopowicz and published by Springer. This book was released on 2017-10-18 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is open access under a CC BY 4.0 license. This open access book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in a variety of real-world applications. The respective chapters, written by leading researchers, discuss the main techniques and applications, together with the advantages and shortcomings of these tools in comparison to other fuzzy number representation models. Primarily intended for engineers and researchers in the field of fuzzy arithmetic, the book also offers a valuable source of basic information on fuzzy models and an easy-to-understand reference guide to their applications for advanced undergraduate students, operations researchers, modelers and managers alike.

Fuzzy Statistical Inferences Based on Fuzzy Random Variables

Author : Gholamreza Hesamian
Publisher : CRC Press
ISBN 13 : 1000539822
Total Pages : 452 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Fuzzy Statistical Inferences Based on Fuzzy Random Variables by : Gholamreza Hesamian

Download or read book Fuzzy Statistical Inferences Based on Fuzzy Random Variables written by Gholamreza Hesamian and published by CRC Press. This book was released on 2022-02-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most commonly used techniques for the most statistical inferences based on fuzzy data. It brings together many of the main ideas used in statistical inferences in one place, based on fuzzy information including fuzzy data. This book covers a much wider range of topics than a typical introductory text on fuzzy statistics. It includes common topics like elementary probability, descriptive statistics, hypothesis tests, one-way ANOVA, control-charts, reliability systems and regression models. The reader is assumed to know calculus and a little fuzzy set theory. The conventional knowledge of probability and statistics is required. Key Features: Includes example in Mathematica and MATLAB. Contains theoretical and applied exercises for each section. Presents various popular methods for analyzing fuzzy data. The book is suitable for students and researchers in statistics, social science, engineering, and economics, and it can be used at graduate and P.h.D level.

Statistical and Fuzzy Approaches to Data Processing, with Applications to Econometrics and Other Areas

Author : Vladik Kreinovich
Publisher : Springer Nature
ISBN 13 : 3030456196
Total Pages : 271 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Statistical and Fuzzy Approaches to Data Processing, with Applications to Econometrics and Other Areas by : Vladik Kreinovich

Download or read book Statistical and Fuzzy Approaches to Data Processing, with Applications to Econometrics and Other Areas written by Vladik Kreinovich and published by Springer Nature. This book was released on 2020-06-19 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mainly focusing on processing uncertainty, this book presents state-of-the-art techniques and demonstrates their use in applications to econometrics and other areas. Processing uncertainty is essential, considering that computers – which help us understand real-life processes and make better decisions based on that understanding – get their information from measurements or from expert estimates, neither of which is ever 100% accurate. Measurement uncertainty is usually described using probabilistic techniques, while uncertainty in expert estimates is often described using fuzzy techniques. Therefore, it is important to master both techniques for processing data. This book is highly recommended for researchers and students interested in the latest results and challenges in uncertainty, as well as practitioners who want to learn how to use the corresponding state-of-the-art techniques.

Fuzzy Set Theory—and Its Applications

Author : Hans-Jürgen Zimmermann
Publisher : Springer Science & Business Media
ISBN 13 : 9401006466
Total Pages : 526 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Fuzzy Set Theory—and Its Applications by : Hans-Jürgen Zimmermann

Download or read book Fuzzy Set Theory—and Its Applications written by Hans-Jürgen Zimmermann and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to fuzzy set theory and its multitude of applications seeks to balance the character of the book with the dynamic nature of the research. This edition includes new chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. Existing material has been updated, and extended exercises are included.

Fuzzy Set Theory and Advanced Mathematical Applications

Author : Da Ruan
Publisher : Springer Science & Business Media
ISBN 13 : 1461523575
Total Pages : 332 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Fuzzy Set Theory and Advanced Mathematical Applications by : Da Ruan

Download or read book Fuzzy Set Theory and Advanced Mathematical Applications written by Da Ruan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy Set Theory and Advanced Mathematical Applications contains contributions by many of the leading experts in the field, including coverage of the mathematical foundations of the theory, decision making and systems science, and recent developments in fuzzy neural control. The book supplies a readable, practical toolkit with a clear introduction to fuzzy set theory and its evolution in mathematics and new results on foundations of fuzzy set theory, decision making and systems science, and fuzzy control and neural systems. Each chapter is self-contained, providing up-to-date coverage of its subject. Audience: An important reference work for university students, and researchers and engineers working in both industrial and academic settings.

Advanced Fuzzy Systems Design and Applications

Author : Yaochu Jin
Publisher : Springer Science & Business Media
ISBN 13 : 9783790815375
Total Pages : 292 pages
Book Rating : 4.8/5 (153 download)

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Book Synopsis Advanced Fuzzy Systems Design and Applications by : Yaochu Jin

Download or read book Advanced Fuzzy Systems Design and Applications written by Yaochu Jin and published by Springer Science & Business Media. This book was released on 2003 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a variety of recently developed methods for generating fuzzy rules from data with the help of neural networks and evolutionary algorithms. Special efforts have been put on dealing with knowledge incorporation into neural and evolutionary systems and knowledge extraction from data with the help of fuzzy logic. On the one hand, knowledge that is understandable to human beings can be extracted from data using evolutionary and learning methods by maintaining the interpretability of the generated fuzzy rules. On the other hand, a priori knowledge like expert knowledge and human preferences can be incorporated into evolution and learning, taking advantage of the knowledge representation capability of fuzzy rule systems and fuzzy preference models. Several engineering application examples in the fields of intelligent vehicle systems, process modeling and control and robotics are presented.

Fuzzy Set Theory

Author : Michael Smithson
Publisher : SAGE
ISBN 13 : 9780761929864
Total Pages : 116 pages
Book Rating : 4.9/5 (298 download)

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Book Synopsis Fuzzy Set Theory by : Michael Smithson

Download or read book Fuzzy Set Theory written by Michael Smithson and published by SAGE. This book was released on 2006-02-17 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces fuzzy set theory to social science researchers. Fuzzy sets are categories with blurred boundaries. With classical sets, objects are either in the set or not, but objects can belong partially to more than one fuzzy set at a time. Many concepts in the social sciences have this characteristic, and fuzzy set theory provides methods for systematically dealing with them. A primary reason for not going beyond programmatic statements and rather unsophisticated uses of fuzzy set theory has been the lack of practical methods for combining fuzzy set concepts with statistical methods. This monograph takes that topic as its major focus, and provides explicit guides for researchers who would like to harness fuzzy set concepts while being able to make statistical inferences and test their models. Real examples and data-sets from several disciplines illustrate the techniques and applications, demonstrating how a combination of fuzzy sets and statistics enable researchers to analyze their data in new ways.