Generalized Measure Theory

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ISBN: 978-0-387-76851-9 (Print) 978-0-387-76852-6 (Online)
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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xv

  2. Book Chapter

    Pages 1-8

    Introduction

  3. Book Chapter

    Pages 9-60

    Preliminaries

  4. Book Chapter

    Pages 61-72

    Basic Ideas of Generalized Measure Theory

  5. Book Chapter

    Pages 73-103

    Special Areas of Generalized Measure Theory

  6. Book Chapter

    Pages 111-132

    Extensions

  7. Book Chapter

    Pages 133-150

    Structural Characteristics for Set Functions

  8. Book Chapter

    Pages 151-165

    Measurable Functions on Monotone Measure Spaces

  9. Book Chapter

    Pages 167-178

    Integration

  10. Book Chapter

    Pages 179-211

    Sugeno Integrals

  11. Book Chapter

    Pages 213-223

    Pan-Integrals

  12. Book Chapter

    Pages 225-246

    Choquet Integrals

  13. Book Chapter

    Pages 247-274

    Upper and Lower Integrals

  14. Book Chapter

    Pages 275-284

    Constructing General Measures

  15. Book Chapter

    Pages 285-302

    Fuzzification of Generalized Measures and the Choquet Integral

  16. Book Chapter

    Pages 303-342

    Applications of Generalized Measure Theory

  17. Back Matter

    Pages 343-381