Description : Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter. This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.
Description : This book presents a systematic treatment of deductive aspects and structures of fuzzy logic understood as many valued logic sui generis. It aims to show that fuzzy logic as a logic of imprecise (vague) propositions does have well-developed formal foundations and that most things usually named ‘fuzzy inference’ can be naturally understood as logical deduction. It is for mathematicians, logicians, computer scientists, specialists in artificial intelligence and knowledge engineering, and developers of fuzzy logic.
Description : Fuzzy logic refers to a set of methods used to characterize and quantify uncertainty in engineering systems. This edition covers major advances that have been made with regard to both theory and applications.
Description : Highlights motivations and benefits of employing fuzzy logic in control engineering and information systems. Providing equal emphasis on theoretical foundations and practical issues, this book features fuzzy logic concepts and techniques in intelligent systems, control, and information technology. Uses Fuzzy Logic Toolbox for MATLAB™ to demonstrate exemplar applications and to develop hands-on exercises. Introduces the connection between fuzzy logic and related ideas, methods, and theories developed in other disciplines (e.g., artificial intelligence, probability theory, control, model identification, etc.).
Description : Introduction, 1996 Note on Notation Deviant Logic Preface and Acknowledgements Ch. 1 'Alternative' in 'Alternative Logic' Ch. 2 Reasons for Deviance Ch. 3 Deviance and the Theory of Truth Ch. 4 Future Contingents Ch. 5 Intuitionism Ch. 6 Vagueness Ch. 7 Singular Terms and Existence Ch. 8 Quantum Mechanics Deduction and Logical Truth The Justification of Deduction Dummett's Justification of Deduction Analyticity and Logical Truth in The Roots of Reference Fuzzy Logic Do We Need 'Fuzzy Logic'? Is Truth Flat or Bumpy? Supplementary Bibliography of Selected Recent Material Works Cited Index.
Description : 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.
Description : This book is designed to help anyone understand the basics of fuzzy sets, whether or not they have a mathematical background. The book first presents a basic grounding in information theory, classical logic and set theories. Next, it introduces the basics of fuzzy sets, distinguishing them from traditional crisp sets, and introducing the concept of membership function. The distinctions between classical and fuzzy relations are introduced, as are representations of fuzzy relations; fuzzy equivalence relations; fuzzy partial orderings, and related topics. The book introduces fuzzy arithmetic and fuzzy numbers. It also presents a detailed introduction to fuzzy logic, multivalued logics, fuzzy propositions, quantifiers, linguistic hedges and approximate reasoning. Several basic and advanced applications for fuzzy set theory are presented as well. Any non-technical reader interested in fuzzy sets and fuzzy logic. Also ideal for introductory level-students, whether they are planning a technical or non-technical course of study.
Description : The second edition of this book provides extensively updated coverage of fuzzy control and fuzzy systems. Particular emphasis is placed on the role of fuzzy sets in control engineering, to provide flexible control algorithms. Significant new material is included. The author first provides information on fuzzy sets and the concept of fuzzy control. He reviews selected applications, and highlights their origin. Later chapters consider design aspects and theoretical developments in the design of fuzzy controllers. A special emphasis is focused on the processing of fuzzy information with the aid of fuzzy relational structures and their extensions, giving rise to fuzzy neural networks. The book addresses a novel approach towards designing fuzzy controllers, which takes advantage of the knowledge representation capabilities of fuzzy sets and of the learning abilities of neural networks. There is also comprehensive coverage of the paradigms and algorithms of fuzzy modelling.