Fuzzy measures and convergence
Several theorems have been proved, e.g. by Ralescu, Ralescu and Adams, Puri and Ralescu, and Klement, in order to unify the approach to uncertainty of both statistical and fuzzy origin. The present paper is motivated by the same instances and deals with some extensions of the measure-theoretical bases o the unit ball in \(\Lambda_ 0\). Again, the ``non-triviality'' of \(f: S_{\Lambda_ 0}\times S_ V\to V-\{0\}\) implies the existence of (invariant) bifurcation sets \({\mathcal S}\) and \({\mathcal F}\) with some global properties. The dimensions of \({\mathcal S}/G\) and \({\mathcal F}/G\) are estimated only for G finite.
scientific article; zbMATH DE number 4044141