Generalized Measure Theory

International Series on Systems Science and Engineering 25


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.

Rezension
From the reviews:
"The monograph contains many original results of the authors and provides an excellent introduction to the emerging field of generalized measure theory. The presentation of the large material is given with didactical skill, numerous examples serve for motivation and illustration of results. ... easy to read by everyone with a solid background in mathematical analysis, and on this basis in particular for students in mathematics and engineering at the graduate level. ... this book can serve as a starting point for research in this area." (Jan Stankiewicz, Zentralblatt MATH, Vol. 1184, 2010)
Portrait
George J. Klir is currently Distinguished Professor of Systems Science at Binghamton University, SUNY. Since he immigrating to the U.S. in 1966, he has held positions at UCLA, Fairleigh Dickinson University, and Binghamton University. He is a Life Fellow of IEEE, IFSA, and the Netherlands Institute for Advanced Studies. He has served as president of SGSR, IFSR, NAFIPS, and IFSA.
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Einband gebundene Ausgabe
Seitenzahl 384
Erscheinungsdatum 27.10.2008
Sprache Englisch
ISBN 978-0-387-76851-9
Verlag Springer
Maße (L/B/H) 24,1/16,4/2,4 cm
Gewicht 735 g
Abbildungen 25 schwarz-weiße Abbildungen, 25 schwarz-weiße Zeichnungen, 16 schwarz-weiße Tabellen
Auflage 2009
Buch (gebundene Ausgabe, Englisch)
63,99
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