非绝对模糊积分,绝对可积性与积分的绝对值不等式
Absolute integrability and its absolute value inequality for fuzzy-number-valued functions are worth to be considered. In this paper, absolute integrability and its absolute valueine quality for fuzzy-number-valued functions are discussed by means of the characteristic theorems of nonabsolute fuzzy integrals and the embedding theorem, i.e., the fuzzy number space can be embedded into a concrete Banach space. Several necessary and sufficient conditions and examples are given.
作 者： 巩增泰 GONG Zeng Tai 作者单位： College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China 刊 名： 数学研究与评论 ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION 年，卷(期)： 2008 28(3) 分类号： O159.2 关键词： fuzzy numbers fuzzy-number-valued functions absolute integrability