TL;DR: In this article, it was shown that the bounded set of fuzzy numbers must exist supremum and infimum and give the concrete representation of supremum, infimum, and supremum.
TL;DR: In this paper, the authors studied the Wiener-Hopf factorization and the distribution of extrema for general stable processes and obtained many explicit and general results, such as infinite series representations and asymptotic expansions for the density of supremum.
Abstract: We study the Wiener--Hopf factorization and the distribution of extrema for general stable processes. By connecting the Wiener--Hopf factors with a certain elliptic-like function we are able to obtain many explicit and general results, such as infinite series representations and asymptotic expansions for the density of supremum, explicit expressions for the Wiener--Hopf factors and the Mellin transform of the supremum, quasi-periodicity and functional identities for these functions, finite product representations in some special cases and identities in distribution satisfied by the supremum functional.
TL;DR: In this paper, the concept of residuated implications related to quasi-overlap functions on lattices was introduced, and the notion of densely ordered posets was used to generalize a classification theorem for residuated quasioverlaps.
TL;DR: In this article, the essential supremum of the corresponding regression function m (x ) = E { Y | X = x } is estimated, which converge almost surely to this value whenever the dependent variable Y satisfies some weak integrability condition.
TL;DR: For all bounded harmonic functions f on the open unit disc (D) as discussed by the authors, where f is the harmonic function f on which f is embedded in the disc [1]... ).
Abstract: For what sequences {an} of points of the open unit disc D does there exist a constant k such thatfor all bounded harmonic functions f on D?