Introduction to Fuzzy Arithmetic
| Author | : Arnold Kaufmann |
| Publisher | : Van Nostrand Reinhold |
| Total Pages | : 361 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : 9781850328810 |
Introduction To Fuzzy Arithmetic
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Applied Fuzzy Arithmetic
| Author | : Michael Hanss |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 261 |
| Release | : 2005-12-27 |
| Genre | : Technology & Engineering |
| ISBN | : 3540273174 |
First book that provides both theory and real world applications of fuzzy arithmetic in a comprehensive style. Provides a well-structured compendium that offers both a deeper knowledge about the theory of fuzzy arithmetic and an extensive view on its applications in the engineering sciences making it useful for graduate courses, researchers and engineers. Presents the basic definitions and fundamental principles of fuzzy arithmetic, derived from fuzzy set theory. Summarizes the state-of-the-art stage of fuzzy arithmetic, offers a comprehensive composition of different approaches including their benefits and drawbacks, and finally, and presents a completely new methodology of implementation of fuzzy arithmetic with particular emphasis on its subsequent application to real-world systems. Concentrates on the application of fuzzy arithmetic to the simulation, analysis and identification of systems with uncertain model parameters, as they appear in various disciplines of engineering science. Focuses on mechanical engineering, geotechnical engineering, biomedical engineering, and control engineering.
Introduction to Fuzzy Arithmetic
| Author | : Arnold Kaufmann |
| Publisher | : |
| Total Pages | : 388 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : |
Here's how to use fuzzy logic to overcome design challenges of designing and analyzing complex processes in order to make televisions, camcorders, washing machines, and other products run more efficiently.
A Modern Introduction to Fuzzy Mathematics
| Author | : Apostolos Syropoulos |
| Publisher | : John Wiley & Sons |
| Total Pages | : 382 |
| Release | : 2020-07-28 |
| Genre | : Technology & Engineering |
| ISBN | : 1119445280 |
Provides readers with the foundations of fuzzy mathematics as well as more advanced topics A Modern Introduction to Fuzzy Mathematics provides a concise presentation of fuzzy mathematics., moving from proofs of important results to more advanced topics, like fuzzy algebras, fuzzy graph theory, and fuzzy topologies. The authors take the reader through the development of the field of fuzzy mathematics, starting with the publication in 1965 of Lotfi Asker Zadeh's seminal paper, Fuzzy Sets. The book begins with the basics of fuzzy mathematics before moving on to more complex topics, including: Fuzzy sets Fuzzy numbers Fuzzy relations Possibility theory Fuzzy abstract algebra And more Perfect for advanced undergraduate students, graduate students, and researchers with an interest in the field of fuzzy mathematics, A Modern Introduction to Fuzzy Mathematics walks through both foundational concepts and cutting-edge, new mathematics in the field.
Theory and Applications of Ordered Fuzzy Numbers
| Author | : Piotr Prokopowicz |
| Publisher | : Springer |
| Total Pages | : 330 |
| Release | : 2017-10-18 |
| Genre | : Technology & Engineering |
| ISBN | : 3319596144 |
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.
An Introduction to Fuzzy Logic and Fuzzy Sets
| Author | : James J. Buckley |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 300 |
| Release | : 2002-01-11 |
| Genre | : Computers |
| ISBN | : 9783790814477 |
This book is an excellent starting point for any curriculum in fuzzy systems fields such as computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications. It includes many figures and problem sets at the end of sections.
Fuzzy Set Theory
| Author | : George J. Klir |
| Publisher | : |
| Total Pages | : 264 |
| Release | : 1997 |
| Genre | : Computers |
| ISBN | : |
Fuzzy Set Theory: Foundations and Applications serves as a simple introduction to basic elements of fuzzy set theory. The emphasis is on a conceptual rather than a theoretical presentation of the material. Fuzzy Set Theory also contains an overview of the corresponding elements of classical set theory - including basic ideas of classical relations - as well as an overview of classical logic. Because the inclusion of background material in these classical foundations provides a self-contained course of study, students from many different academic backgrounds will have access to this important new theory.
Fuzzy Mathematical Models in Engineering and Management Science
| Author | : Arnold Kaufmann |
| Publisher | : North Holland |
| Total Pages | : 372 |
| Release | : 1988 |
| Genre | : Mathematics |
| ISBN | : |
This work is by two of the leading researchers in the field of fuzzy set theory and fuzzy logic. It deals with the notions of fuzzy numbers with levels of perception and levels of presumption. Many new results, examples and novel applications in engineering and management science are presented. This approach makes the book interesting and easy to understand, and provides mathematical tools which readers may find useful in the study of their own problems. Of particular interest are the discussions of applications in areas employing zero-based budgeting, the Delphi method, critical path optimization, reliability modelling, filtering and transportation. The first section is devoted to the theoretical basis for these mathematical models. The second part deals with a variety of applications in engineering and management science. There are also seven appendices which contain some special mathematical operations (Minkowaski's operations) on fuzzy quantities and detailed biographical material.
Mathematics of Fuzziness—Basic Issues
| Author | : Xuzhu Wang |
| Publisher | : Springer |
| Total Pages | : 227 |
| Release | : 2009-03-11 |
| Genre | : Mathematics |
| ISBN | : 3540783113 |
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.
Fuzzy Mathematics: Approximation Theory
| Author | : George A. Anastassiou |
| Publisher | : Springer |
| Total Pages | : 446 |
| Release | : 2010-03-17 |
| Genre | : Technology & Engineering |
| ISBN | : 364211220X |
This monograph is the r st in Fuzzy Approximation Theory. It contains mostly the author s research work on fuzziness of the last ten years and relies a lot on [10]-[32] and it is a natural outgrowth of them. It belongs to the broader area of Fuzzy Mathematics. Chapters are self-contained and several advanced courses can be taught out of this book. We provide lots of applications but always within the framework of Fuzzy Mathematics. In each chapter is given background and motivations. A c- plete list of references is provided at the end. The topics covered are very diverse. In Chapter 1 we give an extensive basic background on Fuzziness and Fuzzy Real Analysis, as well a complete description of the book. In the following Chapters 2,3 we cover in deep Fuzzy Di?erentiation and Integ- tion Theory, e.g. we present Fuzzy Taylor Formulae. It follows Chapter 4 on Fuzzy Ostrowski Inequalities. Then in Chapters 5, 6 we present results on classical algebraic and trigonometric polynomial Fuzzy Approximation.
