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Are the Primitives of Fuzzy (K) Integrable Funcations Differentiable Almost Everywhere * 被引量:1

模糊数值函数的积分原函数是否几乎处处可导(英文)
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摘要 In this paper, an example is given. It shows that there exists a fuzzy-valued function which is (K) integrable on [a, 6], but its primitive is not differentiable almost everywhere in [a, b]. 对于模糊数值函数的积分原函数的可导性问题,本文构造性地给出一反例,说明存在(K)可积的模糊数值函数其积分原函数并不是几乎处处可导的。
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2003年第4期604-608,共5页 数学研究与评论(英文版)
基金 Supported by National Natural Science Found of China(40235053),Natural Science Foundation of Gausu Province(ZS011-A25-012-Z)and NWNU-KJCXGC-212.
关键词 fuzzy-number fuzzy-valued function derivative. 模糊数 模糊数值函数 导数
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参考文献4

  • 1KLEVA O. Fuzzy differential equations [J]. Fuzzy Sets and Systems, 1987, 24: 301-317.
  • 2LEE P Y. Lanzhou Lectures on Henstock Integration [M]. World Scientific Publishing, Singapore, 1989.
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  • 4WU Cong-xin, MA Ming. Embedding problem of fuzzy number space: Part II [J]. Fuzzy Sets and Systems, 1992, 45: 189-202.

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