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.
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© 1992 Springer Science+Business Media New York
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Wang, Z., Klir, G.J. (1992). Extensions. In: Fuzzy Measure Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5303-5_4
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DOI: https://doi.org/10.1007/978-1-4757-5303-5_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-3225-9
Online ISBN: 978-1-4757-5303-5
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