Abstract
Theorem 18.4 shows that there always exists an Aumann-Shapley value on the space pFNA ℐ , no matter how the space X and the T∞-tribe. ℐ (generated or not) are chosen. Note that equation (18.6) in this theorem applies only to games of the form υ = f o m where m is a vector T∞ -measure and f : R(m) → ℝ is a continuously differentiable function such that f(0) = 0.
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© 1993 Springer Science+Business Media Dordrecht
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Butnariu, D., Klement, E.P. (1993). Extensions of the Diagonal Value. 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_6
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DOI: https://doi.org/10.1007/978-94-017-3602-2_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4296-5
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