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Extensions

In: Fuzzy Measure Theory

Author

Listed:
  • Zhenyuan Wang

    (State University of New York at Binghamton)

  • George J. Klir

    (State University of New York at Binghamton)

Abstract

Extension is an important way to construct fuzzy measures on a σ-ring (Appendix A, Definition A.14). However, not all fuzzy measures defined on a ring ℛ can be extended onto the σ-ring ℱ(ℛ). The following is a sample of fuzzy measure for which a required extension does not exist.

Suggested Citation

  • Zhenyuan Wang & George J. Klir, 1992. "Extensions," Springer Books, in: Fuzzy Measure Theory, chapter 0, pages 73-93, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-5303-5_4
    DOI: 10.1007/978-1-4757-5303-5_4
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