Fuzzy Set and Its Extension
eBook - ePub

Fuzzy Set and Its Extension

The Intuitionistic Fuzzy Set

  1. English
  2. ePUB (mobile friendly)
  3. Available on iOS & Android
eBook - ePub

Fuzzy Set and Its Extension

The Intuitionistic Fuzzy Set

About this book

Provides detailed mathematical exposition of the fundamentals of fuzzy set theory, including intuitionistic fuzzy sets

This book examines fuzzy and intuitionistic fuzzy mathematics and unifies the latest existing works in literature. It enables readers to fully understand the mathematics of both fuzzy set and intuitionistic fuzzy set so that they can use either one in their applications.

Each chapter of Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set begins with an introduction, theory, and several examples to guide readers along. The first one starts by laying the groundwork of fuzzy/intuitionistic fuzzy sets, fuzzy hedges, and fuzzy relations. The next covers fuzzy numbers and explains Zadeh's extension principle. Then comes chapters looking at fuzzy operators; fuzzy similarity measures and measures of fuzziness; and fuzzy/intuitionistic fuzzy measures and fuzzy integrals. The book also: discusses the definition and properties of fuzzy measures; examines matrices and determinants of a fuzzy matrix; and teaches about fuzzy linear equations. Readers will also learn about fuzzy subgroups. The second to last chapter examines the application of fuzzy and intuitionistic fuzzy mathematics in image enhancement, segmentation, and retrieval. Finally, the book concludes with coverage the extension of fuzzy sets. This book:

  • Covers both fuzzy and intuitionistic fuzzy sets and includes examples and practical applications
  • Discusses intuitionistic fuzzy integrals and recent aggregation operators using Choquet integral, with examples
  • Includes a chapter on applications in image processing using fuzzy and intuitionistic fuzzy sets
  • Explains fuzzy matrix operations and features examples

Fuzzy Set and Its Extension: The Intuitionistic Fuzzy Set is an ideal text for graduate and research students, as well as professionals, in image processing, decision-making, pattern recognition, and control system design.

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Yes, you can access Fuzzy Set and Its Extension by Tamalika Chaira in PDF and/or ePUB format, as well as other popular books in Technology & Engineering & Electrical Engineering & Telecommunications. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Table of Contents
  3. Preface
  4. Organization of the Book
  5. 1 Fuzzy/Intuitionistic Fuzzy Set Theory
  6. 2 Playing with Fuzzy/Intuitionistic Fuzzy Numbers
  7. 3 Similarity Measures and Measures of Fuzziness
  8. 4 Fuzzy/Intuitionistic Fuzzy Measures and Fuzzy Integrals
  9. 5 Operations on Fuzzy/Intuitionistic Fuzzy Sets and Application in Decision Making
  10. 6 Fuzzy Linear Equations
  11. 7 Fuzzy Matrices and Determinants
  12. 8 Fuzzy Subgroups
  13. 9 Application of Fuzzy/Intuitionistic Fuzzy Set in Image Processing
  14. Chapter 10: Type‐2 Fuzzy Set
  15. Beyond Your Doubts
  16. Index
  17. End User License Agreement