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Fuzzy Differential Equations and Applications for Engineers and Scientists
by Smita Tapaswini Diptiranjan Behera S. ChakravertyDifferential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas. In general, the parameters, variables and initial conditions within a model are considered as being defined exactly. In reality there may be only vague, imprecise or incomplete information about the variables and parameters available. This can result from errors in measurement, observation, or experimental data; application of different operating conditions; or maintenance induced errors. To overcome uncertainties or lack of precision, one can use a fuzzy environment in parameters, variables and initial conditions in place of exact (fixed) ones, by turning general differential equations into Fuzzy Differential Equations ("FDEs"). In real applications it can be complicated to obtain exact solution of fuzzy differential equations due to complexities in fuzzy arithmetic, creating the need for use of reliable and efficient numerical techniques in the solution of fuzzy differential equations. These include fuzzy ordinary and partial, fuzzy linear and nonlinear, and fuzzy arbitrary order differential equations. This unique work?provides a new direction for the reader in the use of basic concepts of fuzzy differential equations, solutions and its applications. It can serve as an essential reference work for students, scholars, practitioners, researchers and academicians in engineering and science who need to model uncertain physical problems.
Fuzzy Differential Equations in Various Approaches
by Luciana Takata Gomes Laécio Carvalho de Barros Barnabas BedeThis book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and metric spaces, this book moves on to an overview of fuzzy calculus thorough exposition and comparison of different approaches. Innovative theories of fuzzy calculus and fuzzy differential equations using fuzzy bunches of functions are introduced and explored. Launching with a brief review of essential theories, this book investigates both well-known and novel approaches in this field; such as the Hukuhara differentiability and its generalizations as well as differential inclusions and Zadeh's extension. Through a unique analysis, results of all these theories are examined and compared.
Fuzzy Logic and Hydrological Modeling
by Zekai SenThe hydrological sciences typically present grey or fuzzy information, making them quite messy and a choice challenge for fuzzy logic application. Providing readers with the first book to cover fuzzy logic modeling as it relates to water science, the author takes an approach that incorporates verbal expert views and other parameters that allow
Fuzzy Management: A Fuzzy Grassroots Ontology For Online Reputation Management (essentials)
by Edy Portmann Andreas MeierAndreas Meier und Edy Portmann verwenden in diesem essential über Fuzzy Management die unscharfe Logik zur Lösung betriebswirtschaftlicher Probleme in der digitalen Wirtschaft. Die unscharfe Logik erweitert die klassische Logik mit den beiden Werten „wahr“ und „falsch“ und führt zu differenzierteren Beurteilungen. Neben Portfolio Management, Performance Measurement, Service Level Engineering und Reputationsmanagement wird die Business Intelligence mit weichen Faktoren angereichert, um den Entscheidungsprozess zu verbessern.
Fuzzy Sets Methods in Image Processing and Understanding: Medical Imaging Applications
by Isabelle Bloch Anca RalescuThis 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.
Fuzzy Sets, Rough Sets, Multisets and Clustering
by Vicenç Torra Yasuo Narukawa Anders DahlbomThis book is dedicated to Prof. Sadaaki Miyamoto and presents cutting-edge papers in some of the areas in which he contributed. Bringing together contributions by leading researchers in the field, it concretely addresses clustering, multisets, rough sets and fuzzy sets, as well as their applications in areas such as decision-making. The book is divided in four parts, the first of which focuses on clustering and classification. The second part puts the spotlight on multisets, bags, fuzzy bags and other fuzzy extensions, while the third deals with rough sets. Rounding out the coverage, the last part explores fuzzy sets and decision-making.
Fuzzy System Identification and Adaptive Control (Communications and Control Engineering)
by Bin Jiang Ruiyun Qi Gang TaoThis book provides readers with a systematic and unified framework for identification and adaptive control of Takagi–Sugeno (T–S) fuzzy systems. Its design techniques help readers applying these powerful tools to solve challenging nonlinear control problems. The book embodies a systematic study of fuzzy system identification and control problems, using T–S fuzzy system tools for both function approximation and feedback control of nonlinear systems. Alongside this framework, the book also: introduces basic concepts of fuzzy sets, logic and inference system; discusses important properties of T–S fuzzy systems; develops offline and online identification algorithms for T–S fuzzy systems; investigates the various controller structures and corresponding design conditions for adaptive control of continuous-time T–S fuzzy systems; develops adaptive control algorithms for discrete-time input–output form T–S fuzzy systems with much relaxed design conditions, and discrete-time state-space T–S fuzzy systems; and designs stable parameter-adaptation algorithms for both linearly and nonlinearly parameterized T–S fuzzy systems. The authors address adaptive fault compensation problems for T–S fuzzy systems subject to actuator faults. They cover a broad spectrum of related technical topics and to develop a substantial set of adaptive nonlinear system control tools. Fuzzy System Identification and Adaptive Control helps engineers in the mechanical, electrical and aerospace fields, to solve complex control design problems. The book can be used as a reference for researchers and academics in nonlinear, intelligent, adaptive and fault-tolerant control.
Fuzzy Systems & Operations Research and Management
by Bing-Yuan Cao Zeng-Liang Liu Yu-Bin Zhong Hong-Hai MiThis book includes results of the seventh International Conference on Fuzzy Information and Engineering (ICFIE'2014) and the 1st International Conference of Operations Research and Management (ICORM'2014) on November 7-11, 2014 in ZhuHai, China. The book, contains 35 selected high-quality papers, and is divided into five main parts: Part I focuses on ``Fuzzy Systems and Its Applications", Part II on ``Fuzzy Mathematics and Its Applications", Part III discusses ``Fuzzy Information and Computer", Part IV is devoted to ``Operations Research and Management and Its Applications" and Part V includes various other topics.
Fuzzy and Neuro-Fuzzy Systems in Medicine (CRC Press Revivals)
by Lakhmi C. Jain Abraham Kandel Horia-Nicolai L TeodorescuFuzzy and Neuro-Fuzzy Systems in Medicineprovides a thorough review of state-of-the-art techniques and practices, defines and explains relevant problems, as well as provides solutions to these problems. After an introduction, the book progresses from one topic to another - with a linear development from fundamentals to applications.
Fußball, Fashion, Flachbildschirme: Die neueste Kunststoffgeneration (Erlebnis Wissenschaft)
by Rolf Froböse Klaus Jopp"Smart Polymers" oder clevere Materialien wollen Wissenschaftler heute entwickeln, d. h. Werkstoffe, die ihre Eigenschaften selbsttatig an die wechselnden au?eren Umwelteinflussen anpassen. Tolle Erfindungen, wie Gebaude und Brucken, die sich wahrend eines Erdbebens selbsttatig verstarken und entstandene Risse umgehend wieder verschlie?en, sind in greifbare Nahe geruckt. Unseren Alltag haben beispielsweise schon folgende Polymere erobert, ohne dass wir uns daruber im Klaren sind: OLEDs: Platz ist auch in der kleinsten Hutte - Flachbildschirme machen es moglich. Polyurethan (PUR): Statt Land unter - Kleber druber. Kustenschutz mit dem "Orkankleber" PUR. Silicone: Sicherheit durch Airbags. Siliconbeschichtungen sind rei?fest, hitze- und alterungsbestandig, einfach perfekt. Makrolon: der Siegeszug eines klar durchsichtigen Kunststoffs. Medizinische Gerate und Stadiondacher: alles aus einer Hand.
Fy Nodiadau Adolygu (My Revision Notes: Wjec Gcse Chemistry Welsh Edition Epub
by Jeremy Pollard Adrian SchmitTarget success in Science with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide that students can rely on to review, strengthen and test their knowledge.With My Revision Notes, every student can:- Plan and manage a successful revision programme using the topic-by-topic planner- Consolidate subject knowledge by working through clear and focused content coverage- Test understanding and identify areas for improvement with regular 'Now Test Yourself' tasks and answers- Improve exam technique through practice questions, expert tips and examples of typical mistakes to avoid- Get exam ready with extra quick quizzes and answers to the practice questions available online
Fy Nodiadau Adolygu: CBAC Bioleg U2 (My Revision Notes: WJEC/Eduqas A-Level Year 2 Biology)
by Dan FoulderTarget exam success with My Revision Notes.Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content from Year 2 is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas A-level Biology will help you:- Develop your subject knowledge by making links between topics for more in-depth exam answers- Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online- Improve maths skills with helpful reminders and tips accompanied by worked examples- Avoid common mistakes and enhance your exam answers with 'Examiner tips'- Build quick recall with bullet-pointed summaries at the end of each chapter- Understand key terms you will need for the exam with user-friendly definitions and a glossary- Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC Bioleg U2 (My Revision Notes: WJEC/Eduqas A-Level Year 2 Biology)
by Dan FoulderTarget exam success with My Revision Notes.Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content from Year 2 is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas A-level Biology will help you:- Develop your subject knowledge by making links between topics for more in-depth exam answers- Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online- Improve maths skills with helpful reminders and tips accompanied by worked examples- Avoid common mistakes and enhance your exam answers with 'Examiner tips'- Build quick recall with bullet-pointed summaries at the end of each chapter- Understand key terms you will need for the exam with user-friendly definitions and a glossary- Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC Bioleg UG (My Revision Notes: WJEC/Eduqas AS/A-Level Year 1 Biology)
by Dan FoulderTarget exam success with My Revision Notes.Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content from Year 1 is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas AS/A-level Biology will help you:· Develop your subject knowledge by making links between topics for more in-depth exam answers· Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online· Improve maths skills with helpful reminders and tips accompanied by worked examples· Avoid common mistakes and enhance your exam answers with 'Examiner tips'· Build quick recall with bullet-pointed summaries at the end of each chapter· Understand key terms you will need for the exam with user-friendly definitions and a glossary· Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC Bioleg UG (My Revision Notes: WJEC/Eduqas AS/A-Level Year 1 Biology)
by Dan FoulderTarget exam success with My Revision Notes.Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content from Year 1 is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas AS/A-level Biology will help you:· Develop your subject knowledge by making links between topics for more in-depth exam answers· Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online· Improve maths skills with helpful reminders and tips accompanied by worked examples· Avoid common mistakes and enhance your exam answers with 'Examiner tips'· Build quick recall with bullet-pointed summaries at the end of each chapter· Understand key terms you will need for the exam with user-friendly definitions and a glossary· Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC Cemeg U2 (My Revision Notes: CBAC/Eduqas A-Level Year 2 Chemistry)
by Alyn G. McFarland Richard BooleTarget exam success with My Revision Notes. Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas A-level Chemistry will help you:- Develop your subject knowledge by making links between topics for more in-depth exam answers- Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online- Improve maths skills with helpful reminders and tips accompanied by worked examples- Avoid common mistakes and enhance your exam answers with 'Examiner tips'- Build quick recall with bullet-pointed summaries at the end of each chapter- Understand key terms you will need for the exam with user-friendly definitions and a glossary- Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC Cemeg U2 (My Revision Notes: CBAC/Eduqas A-Level Year 2 Chemistry)
by Alyn G. McFarland Richard BooleTarget exam success with My Revision Notes. Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas A-level Chemistry will help you:- Develop your subject knowledge by making links between topics for more in-depth exam answers- Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online- Improve maths skills with helpful reminders and tips accompanied by worked examples- Avoid common mistakes and enhance your exam answers with 'Examiner tips'- Build quick recall with bullet-pointed summaries at the end of each chapter- Understand key terms you will need for the exam with user-friendly definitions and a glossary- Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC Cemeg UG (My Revision Notes: WJEC/Eduqas AS/A-Level Year 1 Chemistry)
by Sam HolymanTarget exam success with My Revision Notes.Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content in Year 1 is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas AS/A-level Chemistry will help you:· Develop your subject knowledge by making links between topics for more in-depth exam answers· Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online· Improve maths skills with helpful reminders and tips accompanied by worked examples· Avoid common mistakes and enhance your exam answers with 'Examiner tips'· Build quick recall with bullet-pointed summaries at the end of each chapter· Understand key terms you will need for the exam with user-friendly definitions and a glossary· Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC Cemeg UG (My Revision Notes: WJEC/Eduqas AS/A-Level Year 1 Chemistry)
by Sam HolymanTarget exam success with My Revision Notes.Our updated approach to revision will help you learn, practise and apply your skills and understanding. Coverage of key content in Year 1 is combined with practical study tips and effective revision strategies to create a guide you can rely on to build both knowledge and confidence.My Revision Notes: WJEC/Eduqas AS/A-level Chemistry will help you:· Develop your subject knowledge by making links between topics for more in-depth exam answers· Practise and apply your skills and knowledge with exam-style questions and frequent 'Now Test Yourself' questions with answer guidance online· Improve maths skills with helpful reminders and tips accompanied by worked examples· Avoid common mistakes and enhance your exam answers with 'Examiner tips'· Build quick recall with bullet-pointed summaries at the end of each chapter· Understand key terms you will need for the exam with user-friendly definitions and a glossary· Plan and manage your revision with our topic-by-topic planner and exam breakdown introduction
Fy Nodiadau Adolygu: CBAC TGAU Bioleg (My Revision Notes)
by Adrian SchmitTarget success in Science with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide that students can rely on to review, strengthen and test their knowledge.With My Revision Notes, every student can:- Plan and manage a successful revision programme using the topic-by-topic planner- Consolidate subject knowledge by working through clear and focused content coverage- Test understanding and identify areas for improvement with regular 'Now Test Yourself' tasks and answers- Improve exam technique through practice questions, expert tips and examples of typical mistakes to avoid- Get exam ready with extra quick quizzes and answers to the practice questions available online
Fy Nodiadau Adolygu: CBAC TGAU Cemeg (My Revision Notes: WJEC GCSE Chemistry, Welsh-language Edition)
by Jeremy Pollard Adrian SchmitTarget success in Science with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide that students can rely on to review, strengthen and test their knowledge.With My Revision Notes, every student can:- Plan and manage a successful revision programme using the topic-by-topic planner- Consolidate subject knowledge by working through clear and focused content coverage- Test understanding and identify areas for improvement with regular 'Now Test Yourself' tasks and answers- Improve exam technique through practice questions, expert tips and examples of typical mistakes to avoid- Get exam ready with extra quick quizzes and answers to the practice questions available online
Fy Nodiadau Adolygu: CBAC TGAU Ffiseg (My Revision Notes: WJEC GCSE Physics, Welsh-language Edition)
by Jeremy PollardTarget success in Science with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide that students can rely on to review, strengthen and test their knowledge.With My Revision Notes, every student can:- Plan and manage a successful revision programme using the topic-by-topic planner- Consolidate subject knowledge by working through clear and focused content coverage- Test understanding and identify areas for improvement with regular 'Now Test Yourself' tasks and answers- Improve exam technique through practice questions, expert tips and examples of typical mistakes to avoid- Get exam ready with extra quick quizzes and answers to the practice questions available online
Fy Nodiadau Adolygu: CBAC TGAU Gwyddoniaeth Dwyradd (My Revision Notes: WJEC GCSE Science Double Award, Welsh-language Edition)
by Jeremy Pollard Adrian SchmitTarget success in Science with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide that students can rely on to review, strengthen and test their knowledge.With My Revision Notes, every student can:- Plan and manage a successful revision programme using the topic-by-topic planner- Consolidate subject knowledge by working through clear and focused content coverage- Test understanding and identify areas for improvement with regular 'Now Test Yourself' tasks and answers- Improve exam technique through practice questions, expert tips and examples of typical mistakes to avoid- Get exam ready with extra quick quizzes and answers to the practice questions available online
Fy Nodiadau Adolygu: WJEC GCSE Biology Welsh Edition Epub (My Revision Notes)
by Adrian SchmitTarget success in Science with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide that students can rely on to review, strengthen and test their knowledge. With My Revision Notes, every student can:- Plan and manage a successful revision programme using the topic-by-topic planner- Consolidate subject knowledge by working through clear and focused content coverage- Test understanding and identify areas for improvement with regular 'Now Test Yourself' tasks and answers- Improve exam technique through practice questions, expert tips and examples of typical mistakes to avoid- Get exam ready with extra quick quizzes and answers to the practice questions available online
Fy Nodiadau Adolygu: WJEC GCSE Physics, Welsh-language Edition)
by Jeremy PollardExam Board: WJECLevel: GCSESubject: PhysicsFirst Teaching: September 2016First Exam: Summer 2018Target success in Science with this proven formula for effective, structured revision; key content coverage is combined with exam-style tasks and practical tips to create a revision guide that students can rely on to review, strengthen and test their knowledge.With My Revision Notes, every student can:- Plan and manage a successful revision programme using the topic-by-topic planner- Consolidate subject knowledge by working through clear and focused content coverage- Test understanding and identify areas for improvement with regular 'Now Test Yourself' tasks and answers- Improve exam technique through practice questions, expert tips and examples of typical mistakes to avoid- Get exam ready with extra quick quizzes and answers to the practice questions available onlinePlease note that some of the quizzes from the WJEC GCSE My Revision Notes series are also used in the WJEC GCSE Teaching and Learning resources.