Generalized Measure Theory

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Wang, Zhenyuan (Autor), Klir, George J. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US : Imprint: Springer, 2009.
Edición:1st ed. 2009.
Colección:IFSR International Series in Systems Science and Systems Engineering, 25
Temas:
Measure theory.
Mathematical logic.
System theory.
Control theory.
Measure and Integration.
Mathematical Logic and Foundations.
Systems Theory, Control .
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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