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模糊黎曼积分的拓广 被引量:1

Fuzzy Riemann Integral Redefined
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摘要 给出了模糊黎曼积分的拓广定义,并证明了拓广的模糊黎曼积分在下方图度量和d1度量下可以通过有限个层次集逼近。 In this paper we give a generalized definition of fuzzy Riemann integral and show that the new fuzzy Riemann integral can be approximated by fuzzy number determined by finite number of level sets of the fuzzy Riemann integral via endograph metric and d1 metric.
出处 《模糊系统与数学》 CSCD 北大核心 2009年第2期116-123,共8页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(10871229) 宁波大学科研基金资助项目(XY0700065)
关键词 模糊数 稠密子集 模糊黎曼积分 下方图度量 d1度量 Fuzzy Number Dense Subset Fuzzy Riemann Integral Endograph Metric d1 Metric
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参考文献9

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