Extensions

Zhenyuan Wang and George J. Klir
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Zhenyuan Wang: State University of New York at Binghamton
George J. Klir: State University of New York at Binghamton

Chapter Chapter 4 in Fuzzy Measure Theory, 1992, pp 73-93 from Springer

Abstract: 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.

Keywords: Probability Distribution Function; Extension Theorem; Absolute Continuity; Fuzzy Measure; Classical Measure (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1007/978-1-4757-5303-5_4

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