非絕對模糊積分,絕對可積性與積分的絕對值不等式

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： 鞏增泰 GONG Zeng Tai   作者單位： College of Mathematics and Information Science, Northwest Normal University, Gansu 730070, China  刊 名： 數(shù)學(xué)研究與評論  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分類號： O159.2  關(guān)鍵詞： fuzzy numbers   fuzzy-number-valued functions   absolute integrability  

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