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Generalized Measure Theory

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, an...

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Bibliographic Details
Main Authors: Wang, Zhenyuan, Klir, George J. (Author)
Format: eBook
Language:English
Published: New York, NY Springer US 2009, 2009
Edition:1st ed. 2009
Series:IFSR International Series in Systems Science and Systems Engineering
Subjects:
Measure Theory
Mathematical Logic
Control Theory
Systems Theory, Control
System Theory
Mathematical Logic And Foundations
Measure And Integration
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preliminaries
  • Basic Ideas of Generalized Measure Theory
  • Special Areas of Generalized Measure Theory
  • Extensions
  • Structural Characteristics for Set Functions
  • Measurable Functions on Monotone Measure Spaces
  • Integration
  • Sugeno Integrals
  • Pan-Integrals
  • Choquet Integrals
  • Upper and Lower Integrals
  • Constructing General Measures
  • Fuzzification of Generalized Measures and the Choquet Integral
  • Applications of Generalized Measure Theory

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