Fuzzy Sets and Fuzzy Logic: Theory and Applications

3.85 avg rating
( 20 ratings by GoodReads )
 
9780131011717: Fuzzy Sets and Fuzzy Logic: Theory and Applications

Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the theoretical advances in these areas, but considers a broad variety of applications of fuzzy sets and fuzzy logic as well. Theoretical aspects of fuzzy set theory and fuzzy logic are covered in Part I of the text, including: basic types of fuzzy sets; connections between fuzzy sets and crisp sets; the various aggregation operations of fuzzy sets; fuzzy numbers and arithmetic operations on fuzzy numbers; fuzzy relations and the study of fuzzy relation equations. Part II is devoted to applications of fuzzy set theory and fuzzy logic, including: various methods for constructing membership functions of fuzzy sets; the use of fuzzy logic for approximate reasoning in expert systems; fuzzy systems and controllers; fuzzy databases; fuzzy decision making; and engineering applications. For everyone interested in an introduction to fuzzy set theory and fuzzy logic.

"synopsis" may belong to another edition of this title.

From the Publisher:

Reflecting the tremendous advances that have taken place in the study of fuzzy set theory and fuzzy logic from 1988 to the present, this book not only details the theoretical advances in these areas, but considers a broad variety of applications of fuzzy sets and fuzzy logic as well.

Excerpt. © Reprinted by permission. All rights reserved.:

This book is a natural outgrowth of Fuzzy Sets, Uncertainty, and Information by George J. Klir and Tina A. Folger (Prentice Hall, 1988). It reflects the tremendous advances that have taken place in the areas of fuzzy set theory and fuzzy logic during the period 1988-1995. Captured in the book are not only theoretical advances in these areas, but a broad variety of applications of fuzzy sets and fuzzy logic as well.

The primary purpose of the book is to facilitate education in the increasingly important areas of fuzzy set theory and fuzzy logic. It is written as a text for a course at the graduate or upper-division undergraduate level. Although there is enough material in the text for a two- semester course, relevant material may be selected, according to the needs of each individual program, for a one-semester course. The text is also suitable for self study and for short, intensive courses of continuing education. No previous knowledge of fuzzy set theory or fuzzy logic is required for an understanding of the material in this text. Although we assume that the reader is familiar with the basic notions of classical (nonfuzzy) set theory, classical (two-valued) logic, and probability theory, fundamentals of these subject areas are briefly overviewed in the book. Basic ideas of neural networks, genetic algorithms, and rough sets, which are occasionally needed in the text, are provided in Appendices A-C. This makes the book virtually self-contained.

Theoretical aspects of fuzzy set theory and fuzzy logic are covered in the first nine chapters, which are designated Part I of the text. Elementary concepts, including basic types of fuzzy sets, are introduced in Chapter 1, which also contains a discussion of the meaning and significance of the emergence of fuzzy set theory. Connections between fuzzy sets and crisp sets are examined in Chapter 2. It shows how fuzzy sets can be represented by families of crisp sets and how classical mathematical functions can be fuzzified. Chapter 3 deals with the various aggregation operations on fuzzy sets. It covers general fuzzy complements, fuzzy intersections (t-norns), fuzzy unions (t-conorms), and averaging operations. Fuzzy numbers and arithmetic operations on fuzzy numbers are covered in Chapter 4, where also the concepts of linguistic variables and fuzzy equations are introduced and examined. Basic concepts of fuzzy relations are introduced in Chapter 5 and employed in Chapter 6 for the study of fuzzy relation equations, an important tool for many applications of fuzzy set theory.

Chapter 7 deals with possibility theory and its intimate connection with fuzzy set theory. The position of possibility theory within the broader framework of fuzzy measure theory is also examined. Chapter 8 overviews basic aspects of fuzzy logic, including its connection to classical multivalued logics, the various types of fuzzy propositions, and basic types of fuzzy inference rules. Chapter 9, the last chapter in Part I, is devoted to the examination of the connection between uncertainty and information, as represented by fuzzy sets, possibility theory, or evidence theory. The chapter shows how relevant uncertainty and uncertainty-based information can be measured and how these uncertainty measures can be utilized. A Glossary of Key Concepts (Appendix E) and A Glossary of Symbols (Appendix F) are included to help the reader to quickly find the meaning of a concept or a symbol.

Part II, which is devoted to applications of fuzzy set theory and fuzzy logic, consists of the remaining eight chapters. Chapter 10 examines various methods for constructing membership functions of fuzzy sets, including the increasingly popular use of neural networks. Chapter 11 is devoted to the use of fuzzy logic for approximate reasoning in expert systems. It includes a thorough examination of the concept of a fuzzy implication. Fuzzy systems are covered in Chapter 12, including fuzzy controllers, fuzzy automata, and fuzzy neural networks. Fuzzy techniques in the related areas of clustering, pattern recognition, and image processing are overviewed in Chapter 13. Fuzzy databases, a well-developed application area of fuzzy set theory, and the related area of fuzzy retrieval systems are covered in Chapter 14. Basic ideas of the various types of fuzzy decision making are summarized in Chapter 15. Engineering applications other than fuzzy control are touched upon in Chapter 16, and applications in various other areas (medicine, economics, etc.) are overviewed in Chapter 17.

The prerequisite dependencies among the individual chapters and some appendices are expressed by the diagram in Fig. P.1. Following the diagram, the reader has ample flexibility in studying the material. For example, Chapters, 3-6 may be studied prior to Chapters 2 and 4; Chapter 10 and Appendix A may be studied prior to Chapter 2 and Chapters 4 through 9; etc.

In order to avoid interruptions in the main text, virtually all bibliographical, historical, and other remarks are incorporated in the notes that follow each individual chapter. These notes are uniquely numbered and are only occasionally referred to in the text. The notes are particularly important in Part II, where they contain ample references, allowing the interested reader to pursue further study in the application area of concern.

When the book is used at the upper-division undergraduate level, coverage of some or all proofs of the various mathematical theorems may be omitted, depending on the background of the students. At the graduate level, on the other hand, we encourage coverage of most of these proofs in order to effect a deeper understanding of the material. In all cases, the relevance of the material to the specific area of student interest can be emphasized with additional application oriented readings guided by relevant notes in Part II of the text.

Each chapter is followed by a set of exercises, which are intended to enhance an understanding of the material presented in the chapter. The solutions to a selected subset of these exercises are provided in the instructor's manual, which also contains further suggestions for use of the text under various circumstances.

The book contains an extensive bibliography, which covers virtually all relevant books and significant papers published prior to 1995. It also contains a Bibliographical Index, which consists of reference lists for selected application areas and theoretical topics. This index should be particularly useful for graduate, project-oriented courses, as well as for both practitioners and researchers. Each book in the bibliography is emphasized by printing its year of publication in bold.

A few excellent quotes and one figure from the literature are employed in the text and we are grateful for permissions from the copyright owners to use them; they are: Williams & Wilkins, pp. 30-31; IEEE (The Institute of Electrical and Electronics Engineers), pp. 31, 329-330, 376 (Fig. 13.8); Academic Press, pp. 380; Cambridge University Press, pp. 391, 451; and Kluwer, pp. 451.

George J. Klir and Bo Yuan
Binghamton, New York

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

International Edition
International Edition

1.

Klir, George J.; Yuan, Bo
Published by Prentice Hall
ISBN 10: 0131011715 ISBN 13: 9780131011717
New PAPERBACK Quantity Available: 14
International Edition
Seller
Bookish
(Erlanger, KY, U.S.A.)
Rating
[?]

Book Description Prentice Hall. PAPERBACK. Book Condition: New. 0131011715 International Edition Paperback OR Softcover Edition with Same Contents. Fast Delivery. Book Cover and ISBN may be different from the US Edition. Customer satisfaction guaranteed. Bookseller Inventory # INDMRK-9789332549425

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 11.87
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

2.

Klir, George J.; Yuan, Bo
Published by Prentice Hall
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Softcover Quantity Available: > 20
International Edition
Seller
Sunshine Book Store
(Wilmington, DE, U.S.A.)
Rating
[?]

Book Description Prentice Hall. Book Condition: New. 0131011715 This is an International Edition. Brand New, Paperback, Delivery within 6-14 business days, Similar Contents as U.S Edition, ISBN and Cover design may differ, printed in Black & White. Choose Expedited shipping for delivery within 3-8 business days. We do not ship to PO Box, APO , FPO Address. In some instances, subjects such as Management, Accounting, Finance may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code/CD is not provided with these editions , unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Bookseller Inventory # MI9789332549425

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 15.99
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

3.

Klir, George J.; Yuan, Bo
Published by Prentice Hall
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Softcover Quantity Available: > 20
International Edition
Seller
Sunshine Book Store
(Wilmington, DE, U.S.A.)
Rating
[?]

Book Description Prentice Hall. Book Condition: New. 0131011715 This is an International Edition. Brand New, Paperback, Delivery within 6-14 business days, Similar Contents as U.S Edition, ISBN and Cover design may differ, printed in Black & White. Choose Expedited shipping for delivery within 3-8 business days. We do not ship to PO Box, APO , FPO Address. In some instances, subjects such as Management, Accounting, Finance may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code/CD is not provided with these editions , unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Bookseller Inventory # MU9780131011717

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 18.05
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

4.

Klir, George J.; Yuan, Bo
ISBN 10: 0131011715 ISBN 13: 9780131011717
New PAPERBACK Quantity Available: 12
International Edition
Seller
Stock Tiger
(New Delhi, DELHI, India)
Rating
[?]

Book Description PAPERBACK. Book Condition: New. PAPERBACK INTERNATIONAL EDITION Brand New Book. The ISBN-13 or Cover might be different but content is extactly same. We deliver in 5 - 9days and respond quickly to customer queries. We don't ship to APO and FPO addresses. Bookseller Inventory # Book-0131011715

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 14.04
Convert Currency

Add to Basket

Shipping: US$ 4.06
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

5.

Klir, George J.; Yuan, Bo
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Softcover First Edition Quantity Available: > 20
International Edition
Seller
GREAT BOOKS DEAL
(TALLAHASSEE, FL, U.S.A.)
Rating
[?]

Book Description Softcover. Book Condition: New. 1st edition. Brand New; Paperback; Black & White or Color International Edition. ISBN and Cover page may differ but similar contents as US edition. GET IT FAST in 3-5 business days by DHL/FEDEX with tracking number. Books printed in English. No shipping to PO Box/APO/FPO address. In some instances, the international textbooks may have different end chapter case studies and exercises. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" and "Content may different from U.S. Edition" - printed only to discourage U.S. students from obtaining an affordable copy. The U.S. Supreme Court has asserted your right to purchase international editions, and ruled on this issue. Access code or CD is not provided with these editions, unless specified. We may ship the books from multiple warehouses across the globe, including India depending upon the availability of inventory storage. Customer satisfaction guaranteed. Bookseller Inventory # GBBD127669

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 15.90
Convert Currency

Add to Basket

Shipping: US$ 3.80
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

6.

Klir, George J.; Yuan, Bo
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Paperback Quantity Available: 5
International Edition
Seller
PRIORITY BOOKS
(springfield, VA, U.S.A.)
Rating
[?]

Book Description Paperback. Book Condition: New. Softcover Book, Condition: New. 1st Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 592 pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Bookseller Inventory # 322738

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 16.06
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

7.

Klir, George J.; Yuan, Bo
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Paperback Quantity Available: 1
International Edition
Seller
Nick Book House
(fresno, CA, U.S.A.)
Rating
[?]

Book Description Paperback. Book Condition: New. New Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Bookseller Inventory # 13742

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 16.11
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

8.

Klir, George J.; Yuan, Bo
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Softcover Quantity Available: 20
International Edition
Seller
Book Deal
(Delhi, India)
Rating
[?]

Book Description Softcover. Book Condition: Brand New. .. Black & White or color International Edition. ISBN and front cover may be different, but contents are same as the US edition. Book printed in English. GET IT FAST within 3-5 business days by DHL/FedEx/Aramex and tracking number will be uploaded into your order page within 24-48 hours. Territorial restrictions may be printed on the book. No shipping to PO BOX, APO, FPO addresses. Kindly provide day time phone number in order to ensure smooth delivery. 100% Customer satisfaction guaranteed!. . Bookseller Inventory # BD003125

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 20.84
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

9.

Klir, George J.; Yuan, Bo
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Softcover Quantity Available: 15
International Edition
Seller
US_Superfast_Bookstore
(New Castle, DE, U.S.A.)
Rating
[?]

Book Description Book Condition: New. This is an International Edition Brand New Paperback Same Title Author and Edition as listed. ISBN and Cover design differs. Similar Contents as U.S Edition. Standard Delivery within 6-14 business days ACROSS THE GLOBE. We can ship to PO Box address in US. International Edition Textbooks may bear a label "Not for sale in the U.S. or Canada" or "For sale in Asia only" or similar restrictions- printed only to discourage students from obtaining an affordable copy. US Court has asserted your right to buy and use International edition. Access code/CD may not provided with these editions. We may ship the books from multiple warehouses across the globe including Asia depending upon the availability of inventory. Printed in English. Customer satisfaction guaranteed. Bookseller Inventory # PS_9780131011717

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 13.34
Convert Currency

Add to Basket

Shipping: US$ 7.65
Within U.S.A.
Destination, Rates & Speeds
International Edition
International Edition

10.

Klir, George J.; Yuan, Bo
ISBN 10: 0131011715 ISBN 13: 9780131011717
New Quantity Available: 5
International Edition
Seller
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Book Condition: New. New. Soft Cover International edition. Different ISBN and Cover image but contents are same as US edition.Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Bookseller Inventory # ABE-190516-110695

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 21.49
Convert Currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book