关键词: 伪几乎处处收敛, 几乎一致收敛, 伪几乎一致收敛, 模糊测度, 几乎处处收敛

Abstract: On the general fuzzy measure space, aiming at the sequence of measurable fuzzy valued functions, we present the concepts of almost everywhere convergence(or pseudoalmost everywhere convergence)and almost uniform convergence(or pseudoalmost uniform convergence), study the implication relationship of almost everywhere convergence and pseudoalmost everywhere convergence or almost uniform convergence and pseudoalmost uniform convergence. Thereby many different kinds of fuzzy generalized Egoroff theorems are obtained.

Key words: fuzzy measure, almost everywhere convergence, pseudoalmost everywhere convergence, almost uniform convergence, pseudoalmost uniform convergence