Zhenyuan Wang's Books

Generalized Measure Theory

By: Zhenyuan Wang,George J. Klir

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Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory. Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory.

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Page Count

392

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387768521

ISBN 13

9780387768526

Nonlinear Integrals And Their Applications In Data Mining

By: Zhenyuan Wang,Rong Yang,Kwong-sak Leung

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Nonlinear Integrals And Their Applications In Data Mining

By: Zhenyuan Wang,Rong Yang,Kwong-sak Leung

Regarding the set of all feature attributes in a given database as the universal set, this monograph discusses various nonadditive set functions that describe the interaction among the contributions from feature attributes towards a considered target attribute. Then, the relevant nonlinear integrals are investigated. These integrals can be applied as aggregation tools in information fusion and data mining, such as synthetic evaluation, nonlinear multiregressions, and nonlinear classifications. Some methods of fuzzification are also introduced for nonlinear integrals such that fuzzy data can be treated and fuzzy information is retrievable.The book is suitable as a text for graduate courses in mathematics, computer science, and information science. It is also useful to researchers in the relevant area.

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Page Count

359

Publisher

World Scientific

Published Date

ISBN 10

9814470988

ISBN 13

9789814470988

Fuzzy Measure Theory

By: Zhenyuan Wang,George J. Klir

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Fuzzy Measure Theory

By: Zhenyuan Wang,George J. Klir

Providing the first comprehensive treatment of the subject, this groundbreaking work is solidly founded on a decade of concentrated research, some of which is published here for the first time, as well as practical, ''hands on'' classroom experience. The clarity of presentation and abundance of examples and exercises make it suitable as a graduate level text in mathematics, decision making, artificial intelligence, and engineering courses.

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Page Count

352

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475753039

ISBN 13

9781475753035

Generalized Measure Theory

By: Zhenyuan Wang,George J. Klir

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Generalized Measure Theory

By: Zhenyuan Wang,George J. Klir

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Solve jigsaw puzzle

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Page Count

392

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387768521

ISBN 13

9780387768526

Fuzzy Measure Theory

By: Zhenyuan Wang,George J. Klir

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Fuzzy Measure Theory

By: Zhenyuan Wang,George J. Klir

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Page Count

376

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0306442604

ISBN 13

9780306442605

Nonlinear Integrals and Their Applications in Data Mining

By: Zhenyuan Wang,Rong Yang,Kwong Sak Leung

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Nonlinear Integrals and Their Applications in Data Mining

By: Zhenyuan Wang,Rong Yang,Kwong Sak Leung

Regarding the set of all feature attributes in a given database as the universal set, this monograph discusses various nonadditive set functions that describe the interaction among the contributions from feature attributes towards a considered target attribute. Then, the relevant nonlinear integrals are investigated. These integrals can be applied as aggregation tools in information fusion and data mining, such as synthetic evaluation, nonlinear multiregressions, and nonlinear classifications. Some methods of fuzzification are also introduced for nonlinear integrals such that fuzzy data can be treated and fuzzy information is retrievable. The book is suitable as a text for graduate courses in mathematics, computer science, and information science. It is also useful to researchers in the relevant area.

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Solve jigsaw puzzle

Age

Page Count

359

Publisher

World Scientific

Published Date

ISBN 10

9812814671

ISBN 13

9789812814678

Book's by Zhenyuan Wang

Generalized Measure Theory

Generalized Measure Theory

Nonlinear Integrals And Their Applications In Data Mining

Nonlinear Integrals And Their Applications In Data Mining

Fuzzy Measure Theory

Fuzzy Measure Theory

Generalized Measure Theory

Generalized Measure Theory

Fuzzy Measure Theory

Fuzzy Measure Theory

Nonlinear Integrals and Their Applications in Data Mining

Nonlinear Integrals and Their Applications in Data Mining

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