classical and fuzzy concepts in mathematical logic and applications professional version

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Classical And Fuzzy Concepts In Mathematical Logic And Applications Professional Version

Author : Mircea S. Reghis
ISBN : 0849331978
Genre : Mathematics
File Size : 46. 30 MB
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Classical and Fuzzy Concepts in Mathematical Logic and Applications provides a broad, thorough coverage of the fundamentals of two-valued logic, multivalued logic, and fuzzy logic. Exploring the parallels between classical and fuzzy mathematical logic, the book examines the use of logic in computer science, addresses questions in automatic deduction, and describes efficient computer implementation of proof techniques. Specific issues discussed include: Propositional and predicate logic Logic networks Logic programming Proof of correctness Semantics Syntax Completenesss Non-contradiction Theorems of Herbrand and Kalman The authors consider that the teaching of logic for computer science is biased by the absence of motivations, comments, relevant and convincing examples, graphic aids, and the use of color to distinguish language and metalanguage. Classical and Fuzzy Concepts in Mathematical Logic and Applications discusses how the presence of these facts trigger a stirring, decisive insight into the understanding process. This view shapes this work, reflecting the authors' subjective balance between the scientific and pedagogic components of the textbook. Usually, problems in logic lack relevance, creating a gap between classroom learning and applications to real-life problems. The book includes a variety of application-oriented problems at the end of almost every section, including programming problems in PROLOG III. With the possibility of carrying out proofs with PROLOG III and other software packages, readers will gain a first-hand experience and thus a deeper understanding of the idea of formal proof.

Psychologische Tests Und Mehrwertige Logik

Author : Matthias Buntins
ISBN : 9783658055073
Genre : Psychology
File Size : 51. 88 MB
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​Matthias Buntins befasst sich mit der Entwicklung eines testtheoretischen Ansatzes, welcher ohne das Konzept der Messung auskommt. Das wesentliche Ergebnis ist eine rationale Rekonstruktion des Testvorgangs als logische Inferenz: Testergebnisse werden nicht als Messwerte interpretiert, sondern als das Ausmaß, in welchem abstrakte Eigenschaftsbegriffe auf bestimmte Personen zutreffen. Durch die konsequente Verwendung formaler (insbesondere mehrwertiger) Schlusssysteme eröffnet der Ansatz neue Lösungen für bestehende testtheoretische Probleme und liefert zugleich konkrete Implikationen für die Praxis der Testkonstruktion und Testauswertung.​

Introduction To Neuro Fuzzy Systems

Author : Robert Fuller
ISBN : 9783790818529
Genre : Computers
File Size : 45. 55 MB
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Fuzzy sets were introduced by Zadeh (1965) as a means of representing and manipulating data that was not precise, but rather fuzzy. Fuzzy logic pro vides an inference morphology that enables approximate human reasoning capabilities to be applied to knowledge-based systems. The theory of fuzzy logic provides a mathematical strength to capture the uncertainties associ ated with human cognitive processes, such as thinking and reasoning. The conventional approaches to knowledge representation lack the means for rep resentating the meaning of fuzzy concepts. As a consequence, the approaches based on first order logic and classical probablity theory do not provide an appropriate conceptual framework for dealing with the representation of com monsense knowledge, since such knowledge is by its nature both lexically imprecise and noncategorical. The developement of fuzzy logic was motivated in large measure by the need for a conceptual framework which can address the issue of uncertainty and lexical imprecision. Some of the essential characteristics of fuzzy logic relate to the following [242]. • In fuzzy logic, exact reasoning is viewed as a limiting case of ap proximate reasoning. • In fuzzy logic, everything is a matter of degree. • In fuzzy logic, knowledge is interpreted a collection of elastic or, equivalently, fuzzy constraint on a collection of variables. • Inference is viewed as a process of propagation of elastic con straints. • Any logical system can be fuzzified. There are two main characteristics of fuzzy systems that give them better performance für specific applications.

Fuzzy Logic With Engineering Applications

Author : Timothy J. Ross
ISBN : 9780470860762
Genre : Technology & Engineering
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For more than 40 years, Computerworld has been the leading source of technology news and information for IT influencers worldwide. Computerworld's award-winning Web site (, twice-monthly publication, focused conference series and custom research form the hub of the world's largest global IT media network.

Fundamentals Of Fuzzy Sets

Author : Didier Dubois
ISBN : 079237732X
Genre : Business & Economics
File Size : 23. 90 MB
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Fundamentals of Fuzzy Sets covers the basic elements of fuzzy set theory. Its four-part organization provides easy referencing of recent as well as older results in the field. The first part discusses the historical emergence of fuzzy sets, and delves into fuzzy set connectives, and the representation and measurement of membership functions. The second part covers fuzzy relations, including orderings, similarity, and relational equations. The third part, devoted to uncertainty modelling, introduces possibility theory, contrasting and relating it with probabilities, and reviews information measures of specificity and fuzziness. The last part concerns fuzzy sets on the real line - computation with fuzzy intervals, metric topology of fuzzy numbers, and the calculus of fuzzy-valued functions. Each chapter is written by one or more recognized specialists and offers a tutorial introduction to the topics, together with an extensive bibliography.

Fuzzy Sets And Fuzzy Logic

Author : Siegfried Gottwald
ISBN : 3322868133
Genre : Technology & Engineering
File Size : 41. 88 MB
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Methods from Fuzzy Logic since the end of the 80th were the sources for remarkable applications of computer modelling in fields which before looked essentially inaccessible. The main tool for that, the fuzzy controllers - a method of rule based rough modelling using fuzzy information - is presented in this book and investigated from a mathematical point of view. The basic notions from fuzzy set theory and many-valued logic are explained in detail, and a theory of fuzzy equations and systems of them is developed and applied to fuzzy controllers. The final chapter discussed methodological issues arising out of the process of developing and evaluating fuzzy models. Methoden der Fuzzy-Logik haben seit dem Ende der 80er Jahre zu bemerkenswerten Automatisierungslösungen in Bereichen geführt, die zuvor dem Computereinsatz weitgehend verschlossen schienen. Die dabei vor allem benutzten unscharfen Regler, eine Methode regelbasierter Grobmodellierungen mit Hilfe unscharfer Informationen, werden in diesem Buch dargestellt und mathematisch untersucht. Die dazu nötigen Grundlagen aus der Theorie der fuzzy sets und der mehrwertigen Logik werden ausgiebig erörtert, und es wird eine Theorie unscharfer Gleichungssysteme und ihrer Lösbarkeit entwickelt und auf unscharfe Regler angewendet. Ein Kapitel zu methodologischen Problemen der Bildung und Bewertung unscharfer Modelle beschließt das Werk, das als Standardwerk Theoretikern und Praktikern empfohlen ist.

Cumulative Book Index

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ISBN : PSU:000045663147
Genre : American literature
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An Introduction To Fuzzy Logic Applications

Author : J. Harris
ISBN : 9789401090421
Genre : Mathematics
File Size : 80. 10 MB
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Fuzzy logic provides a unique method of approximate reasoning in an imperfect world. This text is a bridge to the principles of fuzzy logic through an application-focused approach to selected topics in Engineering and Management. The many examples point to the richer solutions obtained through fuzzy logic and to the possibilities of much wider applications. There are relatively few texts available at present in fuzzy logic applications. The style and content of this text is complementary to those already available. New areas of application are presented in a graded approach in which the underlying concepts are first described. The text is broadly divided into two parts which treat Processes and Materials and also System Applications. The level enables a selection of the text to be made for the substance of a senior undergraduate level course. There is also sufficient volume and quality for the basis of a postgraduate course. A more restricted and judicious selection can provide the material for a professional short course.

Fuzzy Logic In Chemistry

Author : Dennis H. Rouvray
ISBN : 008053225X
Genre : Science
File Size : 20. 77 MB
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Fuzzy Logic has gained increasing acceptance as a way to deal with complexity and uncertainty in many areas of science and engineering. This book is the first to address its practical applications to chemical systems. Ten distinguished authors discuss the role of fuzzy logic in the characterization of a variety of chemical concepts, including chirality, quantum systems, molecular engineering and design, and hierarchical classification methods. Fuzzy Logic in Chemistry will appeal to both students and professionals who are seeking to learn more about theory and applications in an area of growing importance to the physical sciences. The first book on the applications of fuzzy logic in chemistry Covers a topic relevant to many disciplines, including molecular design Discusses applications of fuzzy logic to the physical sciences, a rapidly growing area Features chapters from highly distinguished authors in the physical sciences

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