Screen LibraryFuzzy set and its extension: the intuitionistic fuzzy set /
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 fuz...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
John Wiley & Sons, Inc.,
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| Publisher Address: | Hoboken, NJ : |
| Publication Dates: | 2019. |
| Literature type: | eBook |
| Language: | English |
| Subjects: | |
| Online Access: |
https://onlinelibrary.wiley.com/doi/book/10.1002/9781119544203 |
| Summary: |
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 fuzzyntuitionistic 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 fuzzyntuitionistic 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. |
| Item Description: | Description based on print version record. |
| Carrier Form: |
1 online resource (xvi, 288 pages) : illustrations Also available in print. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9781119544203 1119544203 111954422X 9781119544227 1119544211 9781119544210 111954419X 9781119544197 |
| Index Number: | QA248 |
| CLC: | O159 |