Ebook: 35 Years of Fuzzy Set Theory: Celebratory Volume Dedicated to the Retirement of Etienne E. Kerre

This book is a tribute to Etienne E. Kerre on the occasion of his retirement on October 1st, 2010, after being active for 35 years in the field of fuzzy set theory. It gathers contributions from researchers that have been close to him in one way or another during his long and fruitful career. Besides a foreword by Lotfi A. Zadeh, it contains 13 chapters on both theoretical and applied topics in fuzzy set theory, divided in three parts: 1) logics and connectives, 2) data analysis, and 3) media applications. The first part deals with fuzzy logics and with operators on (extensions of) fuzzy sets. Part 2 deals with fuzzy methods in rough set theory, formal concept analysis, decision making and classification. The last part discusses the use of fuzzy methods for representing and manipulating media objects, such as images and text documents. The diversity of the topics that are covered reflect the diversity of Etienne's research interests, and indeed, the diversity of current research in the area of fuzzy set theory.

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This book is a tribute to Etienne E. Kerre on the occasion of his retirement on October 1st, 2010, after being active for 35 years in the field of fuzzy set theory. It gathers contributions from researchers that have been close to him in one way or another during his long and fruitful career. Besides a foreword by Lotfi A. Zadeh, it contains 13 chapters on both theoretical and applied topics in fuzzy set theory, divided in three parts: 1) logics and connectives, 2) data analysis, and 3) media applications. The first part deals with fuzzy logics and with operators on (extensions of) fuzzy sets. Part 2 deals with fuzzy methods in rough set theory, formal concept analysis, decision making and classification. The last part discusses the use of fuzzy methods for representing and manipulating media objects, such as images and text documents. The diversity of the topics that are covered reflect the diversity of Etienne's research interests, and indeed, the diversity of current research in the area of fuzzy set theory.

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This book is a tribute to Etienne E. Kerre on the occasion of his retirement on October 1st, 2010, after being active for 35 years in the field of fuzzy set theory. It gathers contributions from researchers that have been close to him in one way or another during his long and fruitful career. Besides a foreword by Lotfi A. Zadeh, it contains 13 chapters on both theoretical and applied topics in fuzzy set theory, divided in three parts: 1) logics and connectives, 2) data analysis, and 3) media applications. The first part deals with fuzzy logics and with operators on (extensions of) fuzzy sets. Part 2 deals with fuzzy methods in rough set theory, formal concept analysis, decision making and classification. The last part discusses the use of fuzzy methods for representing and manipulating media objects, such as images and text documents. The diversity of the topics that are covered reflect the diversity of Etienne's research interests, and indeed, the diversity of current research in the area of fuzzy set theory.
Content:
Front Matter....Pages -
Front Matter....Pages 1-1
Aggregation Functions on Bounded Posets....Pages 3-17
On the Intuitionistic Fuzzy Implications and Negations. Part 1....Pages 19-38
Mathematical Fuzzy Logic: A Good Theory for Practice....Pages 39-55
Interval-Valued Algebras and Fuzzy Logics....Pages 57-82
Implications in Fuzzy Logic: Properties and a New Class....Pages 83-103
Front Matter....Pages 105-105
On Lattice–Based Fuzzy Rough Sets....Pages 107-126
Graduality, Uncertainty and Typicality in Formal Concept Analysis....Pages 127-147
Choice Functions in Fuzzy Environment: An Overview....Pages 149-169
A Fuzzy Extension to Compact and Accurate Associative Classification....Pages 171-193
Front Matter....Pages 195-195
Fuzzy Techniques in Image Processing at Ghent University: Summary of a 12-Year Journey....Pages 197-217
The Need to Use Fuzzy Extensions in Fuzzy Thresholding Algorithms....Pages 219-235
Fuzzy Methods on the Web: A Critical Discussion....Pages 237-266
Using Fuzzy and Interval-Valued Fuzzy Sets in Automatic Text Categorization Based on a Fuzzy Information Retrieval Model....Pages 267-291
Back Matter....Pages -

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This book is a tribute to Etienne E. Kerre on the occasion of his retirement on October 1st, 2010, after being active for 35 years in the field of fuzzy set theory. It gathers contributions from researchers that have been close to him in one way or another during his long and fruitful career. Besides a foreword by Lotfi A. Zadeh, it contains 13 chapters on both theoretical and applied topics in fuzzy set theory, divided in three parts: 1) logics and connectives, 2) data analysis, and 3) media applications. The first part deals with fuzzy logics and with operators on (extensions of) fuzzy sets. Part 2 deals with fuzzy methods in rough set theory, formal concept analysis, decision making and classification. The last part discusses the use of fuzzy methods for representing and manipulating media objects, such as images and text documents. The diversity of the topics that are covered reflect the diversity of Etienne's research interests, and indeed, the diversity of current research in the area of fuzzy set theory.
Content:
Front Matter....Pages -
Front Matter....Pages 1-1
Aggregation Functions on Bounded Posets....Pages 3-17
On the Intuitionistic Fuzzy Implications and Negations. Part 1....Pages 19-38
Mathematical Fuzzy Logic: A Good Theory for Practice....Pages 39-55
Interval-Valued Algebras and Fuzzy Logics....Pages 57-82
Implications in Fuzzy Logic: Properties and a New Class....Pages 83-103
Front Matter....Pages 105-105
On Lattice–Based Fuzzy Rough Sets....Pages 107-126
Graduality, Uncertainty and Typicality in Formal Concept Analysis....Pages 127-147
Choice Functions in Fuzzy Environment: An Overview....Pages 149-169
A Fuzzy Extension to Compact and Accurate Associative Classification....Pages 171-193
Front Matter....Pages 195-195
Fuzzy Techniques in Image Processing at Ghent University: Summary of a 12-Year Journey....Pages 197-217
The Need to Use Fuzzy Extensions in Fuzzy Thresholding Algorithms....Pages 219-235
Fuzzy Methods on the Web: A Critical Discussion....Pages 237-266
Using Fuzzy and Interval-Valued Fuzzy Sets in Automatic Text Categorization Based on a Fuzzy Information Retrieval Model....Pages 267-291
Back Matter....Pages -
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