Download or read book Mathematics of Fuzziness Basic Issues written by Xuzhu Wang and published by Springer. This book was released on 2009-03-11 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Fuzziness – Basic Issues introduces a basic notion of ‘fuzziness’ and provides a conceptual mathematical framework to characterize such fuzzy phenomena in Studies in Fuzziness and Soft Computing. The book systematically presents a self-contained introduction to the essentials of mathematics of fuzziness ranging from fuzzy sets, fuzzy relations, fuzzy numbers, fuzzy algebra, fuzzy measures, fuzzy integrals, and fuzzy topology to fuzzy control in a strictly mathematical manner. It contains most of the authors’ research results in the field of fuzzy set theory and has evolved from the authors’ lecture notes to both undergraduate and graduate students over the last three decades. A lot of exercises in each chapter of the book are particularly suitable as a textbook for any undergraduate and graduate student in mathematics, computer science and engineering. The reading of the book will surely lay a solid foundation for further research on fuzzy set theory and its applications.
Download or read book Fuzziness in Information Systems written by Miroslav Hudec and published by Springer. This book was released on 2016-10-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an essential contribution to the description of fuzziness in information systems. Usually users want to retrieve data or summarized information from a database and are interested in classifying it or building rule-based systems on it. But they are often not aware of the nature of this data and/or are unable to determine clear search criteria. The book examines theoretical and practical approaches to fuzziness in information systems based on statistical data related to territorial units. Chapter 1 discusses the theory of fuzzy sets and fuzzy logic to enable readers to understand the information presented in the book. Chapter 2 is devoted to flexible queries and includes issues like constructing fuzzy sets for query conditions, and aggregation operators for commutative and non-commutative conditions, while Chapter 3 focuses on linguistic summaries. Chapter 4 presents fuzzy logic control architecture adjusted specifically for the aims of business and governmental agencies, and shows fuzzy rules and procedures for solving inference tasks. Chapter 5 covers the fuzzification of classical relational databases with an emphasis on storing fuzzy data in classical relational databases in such a way that existing data and normal forms are not affected. This book also examines practical aspects of user-friendly interfaces for storing, updating, querying and summarizing. Lastly, Chapter 6 briefly discusses possible integration of fuzzy queries, summarization and inference related to crisp and fuzzy databases. The main target audience of the book is researchers and students working in the fields of data analysis, database design and business intelligence. As it does not go too deeply into the foundation and mathematical theory of fuzzy logic and relational algebra, it is also of interest to advanced professionals developing tailored applications based on fuzzy sets.
Download or read book Fuzzy written by Tom Angleberger and published by Abrams. This book was released on 2016-08-16 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the minds of Tom Angleberger, the New York Times bestselling author of the wildly popular Origami Yoda series, and Paul Dellinger, an adult science-fiction writer, comes a funny middle school story with a memorable robot title character. Reluctant readers and robot lovers in elementary and middle school will enjoy this fast-paced read that shows just how strange a place middle school can be, particularly when the new student is a state-of-the-art robot. When Max—Maxine Zelaster—befriends her new robot classmate Fuzzy, part of Vanguard One Middle School’s new Robot Integration Program, she helps him learn everything he needs to know about surviving middle school—the good, the bad, and the really, really, ugly. Little do they know that surviving seventh grade is going to become a true matter of life and death, because Vanguard has an evil presence at its heart: a digital student evaluation system named BARBARA that might be taking its mission to shape the perfect student to extremes! With a strong female main character who will appeal to all readers, Tom Angleberger and Paul Dellinger’s new novel offers readers a fresh take on robots. Fuzzy will find its place in the emerging category of bestselling books featuring robots, including Jon Scieszka’ s Frank Einstein series and James Patterson’s House of Robots. Be sure to check out all of Tom Angleberger’s other acclaimed books for middle-grade readers, including Poop Fountain!; The Rat with the Human Face; Horton Halfpott; Fake Mustache; and the bestselling Origami Yoda series: The Strange Case of Origami Yoda, Darth Paper Strikes Back, The Secret of the Fortune Wookiee, Emperor Pickletine Rides the Bus,Princess Labelmaker to the Rescue, and Jabba the Puppet. For younger readers Tom wrote the picture book McToad Mows Tiny Island, illustrated by John Hendrix, and for chapter book readers, Tom wrote the Inspector Flytrap series, illustrated by his wife Cece Bell.
Download or read book First Course on Fuzzy Theory and Applications written by Kwang Hyung Lee and published by Springer Science & Business Media. This book was released on 2006-11-30 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy theory has become a subject that generates much interest among the courses for graduate students. However, it was not easy to find a suitable textbook to use in the introductory course and to recommend to the students who want to self-study. The main purpose of this book is just to meet that need. The author has given lectures on the fuzzy theory and its applications for ten years and continuously developed lecture notes on the subject. This book is a publication of the modification and summary of the lecture notes. The fundamental idea of the book is to provide basic and concrete concepts of the fuzzy theory and its applications, and thus the author focused on easy illustrations of the basic concepts. There are numerous examples and figures to help readers to understand and also added exercises at the end of each chapter. This book consists of two parts: a theory part and an application part. The first part (theory part) includes chapters from 1 to 8. Chapters 1 and 2 introduce basic concepts of fuzzy sets and operations, and Chapters 3 and 4 deal with the multi-dimensional fuzzy sets. Chapters 5 and 6 are extensions of the fuzzy theory to the number and function, and Chapters 7 and 8 are developments of fuzzy properties on the probability and logic theories.
Download or read book Fuzzy Nation written by John Scalzi and published by Macmillan. This book was released on 2011-05-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: From New York Times bestseller and Hugo Award-winner John Scalzi, an extraordinary retelling of the SF classic Little Fuzzy ZaraCorp holds the right to extract unlimited resources from the verdant planet Zarathustra—as long as the planet is certifiably free of native sentients. So when an outback prospector discovers a species of small, appealing bipeds who might well turn out to be intelligent, language-using beings, it's a race to stop the corporation from "eliminating the problem," which is to say, eliminating the Fuzzies—wide-eyed and ridiculously cute small, and furry—who are as much people as we are. Other Tor Books The Android’s Dream Agent to the Stars Your Hate Mail Will Be Graded Fuzzy Nation Redshirts 1. Lock In 2. Head On The Interdepency Sequence 1. The Collapsing Empire 2. The Consuming Fire Old Man's War Series 1. Old Man’s War 2. The Ghost Brigades 3. The Last Colony 4. Zoe’s Tale 5. The Human Division 6. The End of All Things At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Download or read book Fuzzy Mud written by Louis Sachar and published by Delacorte Press. This book was released on 2015-08-04 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the author of the acclaimed bestseller Holes, winner of the Newbery Award and the National Book Award, comes a New York Times bestselling adventure about the impact we have—both good and bad—on the world we live in. Be careful. Your next step may be your last. Fifth grader Tamaya Dhilwaddi and seventh grader Marshall Walsh have been walking to and from Woodridge Academy together since elementary school. But their routine is disrupted when bully Chad Hilligas challenges Marshall to a fight. To avoid the conflict, Marshall takes a shortcut home through the off-limits woods. Tamaya, unaware of the reason for the detour, reluctantly follows. They soon get lost. And then they find trouble. Bigger trouble than anyone could ever have imagined. In the days and weeks that follow, the authorities and the U.S. Senate become involved, and what they uncover might affect the future of the world. "Sachar blends elements of mystery, suspense, and school-day life into a taut environmental cautionary tale."--Publishers Weekly
Download or read book Readings in Fuzzy Sets for Intelligent Systems written by Didier J. Dubois and published by Morgan Kaufmann. This book was released on 2014-05-12 with total page 929 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.
Download or read book Fuzzy Thinking written by Bart Kosko and published by HarperPerennial. This book was released on 1994 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fuzzy logic is the next wave in technology. Japanese electronics giants have, in the last ten years, already staked their commercial future on the benefits of fuzzy production; only recently have European and US companies begun to catch up. Fuzzy logic sanctifies vagueness. It prescribes a new way of thinking about machines, about science, ambiguity, confusion and contradiction.
Download or read book Fuzzy Image Processing and Applications with MATLAB written by Tamalika Chaira and published by CRC Press. This book was released on 2017-12-19 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In contrast to classical image analysis methods that employ "crisp" mathematics, fuzzy set techniques provide an elegant foundation and a set of rich methodologies for diverse image-processing tasks. However, a solid understanding of fuzzy processing requires a firm grasp of essential principles and background knowledge. Fuzzy Image Processing and Applications with MATLAB® presents the integral science and essential mathematics behind this exciting and dynamic branch of image processing, which is becoming increasingly important to applications in areas such as remote sensing, medical imaging, and video surveillance, to name a few. Many texts cover the use of crisp sets, but this book stands apart by exploring the explosion of interest and significant growth in fuzzy set image processing. The distinguished authors clearly lay out theoretical concepts and applications of fuzzy set theory and their impact on areas such as enhancement, segmentation, filtering, edge detection, content-based image retrieval, pattern recognition, and clustering. They describe all components of fuzzy, detailing preprocessing, threshold detection, and match-based segmentation. Minimize Processing Errors Using Dynamic Fuzzy Set Theory This book serves as a primer on MATLAB and demonstrates how to implement it in fuzzy image processing methods. It illustrates how the code can be used to improve calculations that help prevent or deal with imprecision—whether it is in the grey level of the image, geometry of an object, definition of an object’s edges or boundaries, or in knowledge representation, object recognition, or image interpretation. The text addresses these considerations by applying fuzzy set theory to image thresholding, segmentation, edge detection, enhancement, clustering, color retrieval, clustering in pattern recognition, and other image processing operations. Highlighting key ideas, the authors present the experimental results of their own new fuzzy approaches and those suggested by different authors, offering data and insights that will be useful to teachers, scientists, and engineers, among others.
Download or read book Fuzzy Semigroups written by John N. Mordeson and published by Springer. This book was released on 2012-11-03 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lotfi Zadeh introduced the notion of a fuzzy subset of a set in 1965. Ris seminal paper has opened up new insights and applications in a wide range of scientific fields. Azriel Rosenfeld used the notion of a fuzzy subset to put forth cornerstone papers in several areas of mathematics, among other discplines. Rosenfeld is the father of fuzzy abstract algebra. Kuroki is re sponsible for much of fuzzy ideal theory of semigroups. Others who worked on fuzzy semigroup theory, such as Xie, are mentioned in the bibliogra phy. The purpose of this book is to present an up to date account of fuzzy subsemigroups and fuzzy ideals of a semigroup. We concentrate mainly on theoretical aspects, but we do include applications. The applications are in the areas of fuzzy coding theory, fuzzy finite state machines, and fuzzy languages. An extensive account of fuzzy automata and fuzzy languages is given in [100]. Consequently, we only consider results in these areas that have not appeared in [100] and that pertain to semigroups. In Chapter 1, we review some basic results on fuzzy subsets, semigroups, codes, finite state machines, and languages. The purpose of this chapter is to present basic results that are needed in the remainder of the book. In Chapter 2, we introduce certain fuzzy ideals of a semigroup, namely, fuzzy two-sided ideals, fuzzy bi-ideals, fuzzy interior ideals, fuzzy quasi ideals, and fuzzy generalized bi-ideals.
Download or read book Fuzzy Arbitrary Order System written by Snehashish Chakraverty and published by John Wiley & Sons. This book was released on 2016-08-09 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a systematic treatment of fuzzy fractional differential equations as well as newly developed computational methods to model uncertain physical problems Complete with comprehensive results and solutions, Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications details newly developed methods of fuzzy computational techniquesneeded to model solve uncertainty. Fuzzy differential equations are solved via various analytical andnumerical methodologies, and this book presents their importance for problem solving, prototypeengineering design, and systems testing in uncertain environments. In recent years, modeling of differential equations for arbitrary and fractional order systems has been increasing in its applicability, and as such, the authors feature examples from a variety of disciplines to illustrate the practicality and importance of the methods within physics, applied mathematics, engineering, and chemistry, to name a few. The fundamentals of fractional differential equations and the basic preliminaries of fuzzy fractional differential equations are first introduced, followed by numerical solutions, comparisons of various methods, and simulated results. In addition, fuzzy ordinary, partial, linear, and nonlinear fractional differential equations are addressed to solve uncertainty in physical systems. In addition, this book features: Basic preliminaries of fuzzy set theory, an introduction of fuzzy arbitrary order differential equations, and various analytical and numerical procedures for solving associated problems Coverage on a variety of fuzzy fractional differential equations including structural, diffusion, and chemical problems as well as heat equations and biomathematical applications Discussions on how to model physical problems in terms of nonprobabilistic methods and provides systematic coverage of fuzzy fractional differential equations and its applications Uncertainties in systems and processes with a fuzzy concept Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications is an ideal resource for practitioners, researchers, and academicians in applied mathematics, physics, biology, engineering, computer science, and chemistry who need to model uncertain physical phenomena and problems. The book is appropriate for graduate-level courses on fractional differential equations for students majoring in applied mathematics, engineering, physics, and computer science.
Download or read book Fuzzy Sets Methods in Image Processing and Understanding written by Isabelle Bloch and published by Springer Nature. This book was released on 2023-01-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough overview of recent methods using higher level information (object or scene level) for advanced tasks such as image understanding along with their applications to medical images. Advanced methods for fuzzy image processing and understanding are presented, including fuzzy spatial objects, geometry and topology, mathematical morphology, machine learning, verbal descriptions of image content, fusion, spatial relations, and structural representations. For each methodological aspect covered, illustrations from the medical imaging domain are provided. This is an ideal book for graduate students and researchers in the field of medical image processing.
Download or read book Fuzzy Knowledge Management for the Semantic Web written by Zongmin Ma and published by Springer. This book was released on 2013-09-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book goes to great depth concerning the fast growing topic of technologies and approaches of fuzzy logic in the Semantic Web. The topics of this book include fuzzy description logics and fuzzy ontologies, queries of fuzzy description logics and fuzzy ontology knowledge bases, extraction of fuzzy description logics and ontologies from fuzzy data models, storage of fuzzy ontology knowledge bases in fuzzy databases, fuzzy Semantic Web ontology mapping, and fuzzy rules and their interchange in the Semantic Web. The book aims to provide a single record of current research in the fuzzy knowledge representation and reasoning for the Semantic Web. The objective of the book is to provide the state of the art information to researchers, practitioners and graduate students of the Web intelligence and at the same time serve the knowledge and data engineering professional faced with non-traditional applications that make the application of conventional approaches difficult or impossible.
Download or read book A Practical Introduction to Fuzzy Logic using LISP written by Luis Argüelles Mendez and published by Springer. This book was released on 2015-09-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes use of the LISP programming language to provide readers with the necessary background to understand and use fuzzy logic to solve simple to medium-complexity real-world problems. It introduces the basics of LISP required to use a Fuzzy LISP programming toolbox, which was specifically implemented by the author to “teach” the theory behind fuzzy logic and at the same time equip readers to use their newly-acquired knowledge to build fuzzy models of increasing complexity. The book fills an important gap in the literature, providing readers with a practice-oriented reference guide to fuzzy logic that offers more complexity than popular books yet is more accessible than other mathematical treatises on the topic. As such, students in first-year university courses with a basic tertiary mathematical background and no previous experience with programming should be able to easily follow the content. The book is intended for students and professionals in the fields of computer science and engineering, as well as disciplines including astronomy, biology, medicine and earth sciences. Software developers may also benefit from this book, which is intended as both an introductory textbook and self-study reference guide to fuzzy logic and its applications. The complete set of functions that make up the Fuzzy LISP programming toolbox can be downloaded from a companion book’s website.
Download or read book Cost Benefit Analysis and the Theory of Fuzzy Decisions written by K. K. Dompere and published by Springer Science & Business Media. This book was released on 2004-07-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the identification and measurement theory of costs and benefits in a fuzzy information environment. The process of cost-benefit analysis is presented, requiring the development of real cost-benefit databases and the construction of cost-benefit criterion. These steps are accomplished with various theoretical constructs that provide sets of self-contained algorithms for application. This book integrates cost-benefit analysis, theory of fuzzy decisions and social decisions into unified decision algorithms accessible to practitioners, researchers, and graduate students. It features the essentials of fuzzy mathematics and algorithms in a comprehensive way, exposing a multi-disciplinary approach for the development of cost-benefit decision making in the framework of fuzziness and soft computing.
Download or read book The Theory of the Knowledge Square The Fuzzy Rational Foundations of the Knowledge Production Systems written by Kofi Kissi Dompere and published by Springer. This book was released on 2012-08-28 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph is about a meta-theory of knowledge-production process and the logical pathway that connects the epistemic possibility to the epistemic reality. It examines the general conditions of paradigms for information processing and isolates the classical and fuzzy paradigms for comparative analysis. The sets of conditions that give rise to them are defined, stated and analyzed to abstract the corresponding sets of laws of thought. The fuzzy paradigm with its corresponding logic and mathematics is related to inexact symbolism for the defective information structure where the results of the knowledge production must satisfy the epistemic conditionality, composed of fuzzy conditionality and fuzzy-stochastic conditionality under the principle of logical duality with continuum. The classical paradigm with its corresponding logic and mathematics is related to exact symbolism for exact information structure where the vagueness component of the defectiveness is assumed away, and where the results of the knowledge production must satisfy no epistemic conditionality or at the maximum only the stochastic conditionality under the principle of logical dualism with excluded middle. It is argued that the epistemic path that links ontological space to the epistemological space is information. The ontological space is taken as the primary category of reality while the epistemological space is shone to be a derivative. Such information is universally defective and together with assumptions imposed guides the development of paradigms with their laws of thought, logic of reasoning, mathematics and computational techniques. The relational structure is seen in terms of logical trinity with a given example as matter-information-energy transformational trinity which is supported by the time trinity of past-present-future relationality. The book is written for professionals, researchers and students working in philosophy of science, decision-choice theories, economies, sciences, computer science, engineering, cognitive psychology and researchers working on, or interested in fuzzy paradigm, fuzzy logic, fuzzy decisions, and phenomena of vagueness and ambiguities, fuzzy mathematics, fuzzy-stochastic processes and theory of knowledge. It is further aimed at research institutions and libraries. The subject matter belongs to extensive research and development taking place on fuzzy phenomena and the debate between the fuzzy paradigm and the classical paradigm relative to informatics, synergetic science and complexity theory. The book will have a global appeal and across disciplines. Its strength, besides the contents, is the special effort that is undertaken to make it relevant and accessible to different areas of sciences and knowledge production.
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.
