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Generalized measure theory [electronic resource] / Zhenyuan Wang, George J. Klir.

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This comprehensive text examines the relatively new mathematical area of generalized measure theory. This area expands classical measure theory by abandoning the requirement of additivity and replacing it with various weaker requirements. Each of these weaker requirements characterizes a class of no...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Wang, Zhenyuan
Other Authors: Klir, George J., 1932-
Format: Electronic eBook
Language:English
Published: New York : Springer, ©2009.
Series:IFSR international series on systems science and engineering ; v. 25.
Subjects:
Measure theory.
Integrals, Generalized.
Table of Contents:
  • Preface
  • Introduction
  • Preliminaries
  • Basic Ideas of Generalized Measure Theory
  • Special Area of Generalized Measure Theory
  • Extensions
  • Structural Characteristics
  • Measurable Functions on Monotone Measure Space
  • Integration
  • Sugeno Integrals
  • Pan-Intergrals
  • Choquet Integral
  • Upper and Lower Integrations
  • Constructing Generalized Measures
  • Fuzzification in Generalized Measure Theory
  • Applications of Generalized Measure Theory
  • Bibliography
  • Appendix A. Glossary of Key Concepts
  • Appendix B. Glossary of Symbols
  • Name Index
  • Subject Index.

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