Abstract
9.1 It was shown in Chapter II (see Theorem 8.6) that monotone fundamental triangular norm based measures can be decomposed into a sum consisting of a generated measure and a monotonically irreducible measure. Moreover, if the tribe on which the fundamental triangular norm based measure is defined is a generated one, then the monotonically irreducible component is necessarily zero (cf. Theorem 7.1).
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© 1993 Springer Science+Business Media Dordrecht
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Butnariu, D., Klement, E.P. (1993). T ∞ -Measures. In: Triangular Norm-Based Measures and Games with Fuzzy Coalitions. Theory and Decision Library, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3602-2_4
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DOI: https://doi.org/10.1007/978-94-017-3602-2_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4296-5
Online ISBN: 978-94-017-3602-2
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