Fuzzy 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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2019
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| 520 | |a 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. | ||
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| language | English |
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| spelling | Chaira, Tamalika VerfasserIn aut Fuzzy set and its extension the intuitionistic fuzzy set Tamalika Chaira, Midnapore (West), West Bengal, India Hoboken, NJ John Wiley & Sons, Inc. 2019 ©2019 1 online resource Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Includes bibliographical references and index. - Online resource; title from digital title page (viewed on April 25, 2019) 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. Fuzzy sets Fuzzy numbers Set theory Approximation theory Ensembles flous Nombres flous Théorie des ensembles Théorie de l'approximation MATHEMATICS ; General 9781119544197 Erscheint auch als Druck-Ausgabe 9781119544197 TUM01 ZDB-30-ORH TUM_PDA_ORH https://learning.oreilly.com/library/view/-/9781119544197/?ar X:ORHE Aggregator lizenzpflichtig Volltext |
| spellingShingle | Chaira, Tamalika Fuzzy set and its extension the intuitionistic fuzzy set Fuzzy sets Fuzzy numbers Set theory Approximation theory Ensembles flous Nombres flous Théorie des ensembles Théorie de l'approximation MATHEMATICS ; General |
| title | Fuzzy set and its extension the intuitionistic fuzzy set |
| title_auth | Fuzzy set and its extension the intuitionistic fuzzy set |
| title_exact_search | Fuzzy set and its extension the intuitionistic fuzzy set |
| title_full | Fuzzy set and its extension the intuitionistic fuzzy set Tamalika Chaira, Midnapore (West), West Bengal, India |
| title_fullStr | Fuzzy set and its extension the intuitionistic fuzzy set Tamalika Chaira, Midnapore (West), West Bengal, India |
| title_full_unstemmed | Fuzzy set and its extension the intuitionistic fuzzy set Tamalika Chaira, Midnapore (West), West Bengal, India |
| title_short | Fuzzy set and its extension |
| title_sort | fuzzy set and its extension the intuitionistic fuzzy set |
| title_sub | the intuitionistic fuzzy set |
| topic | Fuzzy sets Fuzzy numbers Set theory Approximation theory Ensembles flous Nombres flous Théorie des ensembles Théorie de l'approximation MATHEMATICS ; General |
| topic_facet | Fuzzy sets Fuzzy numbers Set theory Approximation theory Ensembles flous Nombres flous Théorie des ensembles Théorie de l'approximation MATHEMATICS ; General |
| url | https://learning.oreilly.com/library/view/-/9781119544197/?ar |
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