集合値非加法的測度について (不確実・不確定性の下における数理的意思決定の理論と応用)

Abstract

Egoroff's theorem and Lusin's theorem are most fundamental theorems in classical measure theory. They established for set-valued measures, which take values in the family of all non-void, closed subsets of a real normed space using Hausdorff metric by several authors. In this talk, we consider these theorems for set valued non-additive measures from the another point of view, using the topological convergence of set sequences.