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A First Course in Fuzzy Logic, Third Edition

Author: Hung T. Nguyen

Publisher: CRC Press

Published: 2005-10-06

Total Pages: 442

ISBN-13: 1584885262

A First Course in Fuzzy Logic, Third Edition continues to provide the ideal introduction to the theory and applications of fuzzy logic. This best-selling text provides a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications. New in the Third Edition: A section on type-2 fuzzy sets - a topic that has received much attention in the past few years Additional material on copulas and t-norms More discussions on generalized modus ponens and the compositional rule of inference Complete revision to the chapter on possibility theory Significant expansion of the chapter on fuzzy integrals Many new exercises With its comprehensive updates, this new edition presents all the background necessary for students and professionals to begin using fuzzy logic in its many-and rapidly growing- applications in computer science, mathematics, statistics, and engineering.

A First Course in Fuzzy Logic

Author: Hung T. Nguyen

Publisher: CRC Press

Published: 2018-12-07

Total Pages: 192

ISBN-13: 0429012608

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A First Course in Fuzzy Logic, Fourth Edition is an expanded version of the successful third edition. It provides a comprehensive introduction to the theory and applications of fuzzy logic. This popular text offers a firm mathematical basis for the calculus of fuzzy concepts necessary for designing intelligent systems and a solid background for readers to pursue further studies and real-world applications. New in the Fourth Edition: Features new results on fuzzy sets of type-2 Provides more information on copulas for modeling dependence structures Includes quantum probability for uncertainty modeling in social sciences, especially in economics With its comprehensive updates, this new edition presents all the background necessary for students, instructors and professionals to begin using fuzzy logic in its many—applications in computer science, mathematics, statistics, and engineering. About the Authors: Hung T. Nguyen is a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. He is also an Adjunct Professor of Economics at Chiang Mai University, Thailand. Carol L. Walker is also a Professor Emeritus at the Department of Mathematical Sciences, New Mexico State University. Elbert A. Walker is a Professor Emeritus, Department of Mathematical Sciences, New Mexico State University.

A First Course in Fuzzy Logic

Author: Hung T. Nguyen

Publisher:

Published: 2000

Total Pages: 373

ISBN-13:

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A First Course in Fuzzy Logic

Author: Hung T. Nguyen

Publisher: CRC Press

Published: 1997

Total Pages: 298

ISBN-13:

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This book provides the background information necessary to apply fuzzy set theory in various areas, including engineering fuzzy logic and decision making. The exercises at the end of each chapter deepen the understanding of the concepts and test one's ability to make necessary calculations.

First Course on Fuzzy Theory and Applications

Author: Kwang Hyung Lee

Publisher: Springer Science & Business Media

Published: 2006-11-30

Total Pages: 341

ISBN-13: 354032366X

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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.

Fuzzy Logic with Engineering Applications

Author: Timothy J. Ross

Publisher: John Wiley & Sons

Published: 2005-04-08

Total Pages: 652

ISBN-13: 0470860766

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Fuzzy logic refers to a large subject dealing with a set of methods to characterize and quantify uncertainty in engineering systems that arise from ambiguity, imprecision, fuzziness, and lack of knowledge. Fuzzy logic is a reasoning system based on a foundation of fuzzy set theory, itself an extension of classical set theory, where set membership can be partial as opposed to all or none, as in the binary features of classical logic. Fuzzy logic is a relatively new discipline in which major advances have been made over the last decade or so with regard to theory and applications. Following on from the successful first edition, this fully updated new edition is therefore very timely and much anticipated. Concentration on the topics of fuzzy logic combined with an abundance of worked examples, chapter problems and commercial case studies is designed to help motivate a mainstream engineering audience, and the book is further strengthened by the inclusion of an online solutions manual as well as dedicated software codes. Senior undergraduate and postgraduate students in most engineering disciplines, academics and practicing engineers, plus some working in economics, control theory, operational research etc, will all find this a valuable addition to their bookshelves.

Binary and Multiclass Classification

Author: Brian Kolo

Publisher: Lulu.com

Published: 2011-02

Total Pages: 187

ISBN-13: 1615800166

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Classifiers are 'black boxes' that examine an input and place the input into a category. Examples include medical diagnostics (presence/absence of a disease), quality control (is a part defective?), search engine results (does a page match the search criteria?), language identification (what is the language of a document?), and data quality metrics (does this data set have sufficient quality metrics?). Increasingly, software tools are developed that implement or automate the classification process. Competing classification algorithms are compared to determine which is better suited for a particular application. This book develops the tools needed to measure classifier performance, compare classifiers, and rank order the results. This text examines the properties of binary and multiclass classifiers from a general perspective. Topics include classifier performance metrics, error analysis, comparison of classifier performance, metric distributions, and receiver operator characteristics (ROC).

A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

Author: Laécio Carvalho de Barros

Publisher: Springer

Published: 2016-09-13

Total Pages: 299

ISBN-13: 3662533243

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This book provides an essential introduction to the field of dynamical models. Starting from classical theories such as set theory and probability, it allows readers to draw near to the fuzzy case. On one hand, the book equips readers with a fundamental understanding of the theoretical underpinnings of fuzzy sets and fuzzy dynamical systems. On the other, it demonstrates how these theories are used to solve modeling problems in biomathematics, and presents existing derivatives and integrals applied to the context of fuzzy functions. Each of the major topics is accompanied by examples, worked-out exercises, and exercises to be completed. Moreover, many applications to real problems are presented. The book has been developed on the basis of the authors’ lectures to university students and is accordingly primarily intended as a textbook for both upper-level undergraduates and graduates in applied mathematics, statistics, and engineering. It also offers a valuable resource for practitioners such as mathematical consultants and modelers, and for researchers alike, as it may provide both groups with new ideas and inspirations for projects in the fields of fuzzy logic and biomathematics.

Algebraic Techniques and Their Use in Describing and Processing Uncertainty

Author: Hung T. Nguyen

Publisher: Springer Nature

Published: 2020-02-13

Total Pages: 170

ISBN-13: 3030385655

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This book discusses heuristic methods – methods lacking a solid theoretical justification – which are ubiquitous in numerous application areas, and explains techniques that can make heuristic methods more reliable. Focusing on algebraic techniques, i.e., those that use only a few specific features of a situation, it describes various state-of-the-art applications, ranging from fuzzy methods for dealing with imprecision to general optimization methods and quantum-based methods for analyzing economic phenomena. The book also includes recent results from leading researchers, which could (and hopefully will) provide the basis for future applications. As such, it is a valuable resource for mathematicians interested in potential applications of their algebraic results and ideas, as well as for application specialists wanting to discover how algebraic techniques can help in their domains.

Fuzzy Logic

Author: Enric Trillas

Publisher: Springer

Published: 2015-01-12

Total Pages: 211

ISBN-13: 3319142038

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This book introduces readers to fundamental concepts in fuzzy logic. It describes the necessary theoretical background and a number of basic mathematical models. Moreover, it makes them familiar with fuzzy control, an important topic in the engineering field. The book offers an unconventional introductory textbook on fuzzy logic, presenting theory together with examples and not always following the typical mathematical style of theorem-corollaries. Primarily intended to support engineers during their university studies, and to spark their curiosity about fuzzy logic and its applications, the book is also suitable for self-study, providing a valuable resource for engineers and professionals who deal with imprecision and non-random uncertainty in real-world applications.