| 模糊集上的(N)模糊积分 |
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| 引用本文： | 黄艳,吴从炘.模糊集上的(N)模糊积分[J].黑龙江大学自然科学学报,2003,20(3):1-5. |
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| 作者姓名： | 黄艳 吴从炘 |
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| 作者单位： | 哈尔滨工业大学,理学院,黑龙江,哈尔滨,150001 |
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| 基金项目： | Natural Science Foundation of China(10271035) |
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| 摘 要： | 在模糊集上引入(N)模糊积分的概念,研究了这类积分的基本性质,并证明了模糊情形下的单调收敛定理和Fatou引理.最后,给出了两个模糊可测函数的(N)模糊积分相等的充要条件.
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| 关 键 词： | 模糊σ-代数 模糊测度 零可减 模糊可加 模糊可测函数 (N)模糊积分 |
(N) Fuzzy integral on fuzzy set |
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| Abstract.(N) Fuzzy integral on fuzzy set[J].Journal of Natural Science of Heilongjiang University,2003,20(3):1-5. |
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| Authors: | Abstract |
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| Abstract: | The concept of the (N) fuzzy integral on a fuzzy set is introduced and some elementary properties of this type of fuzzy integral, Monotone Convergence Theorem and Fatou Lemma are proved. A necessary and sufficient condition on which the (N) fuzzy integrals of two fuzzy measurable functions on fuzzy sets are always equal is given. |
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| Keywords: | Fuzzy a - algebra fuzzy measure crisp null-subtractivity fuzzy additivity fuzzy measurable function (N) fuzzy integral |
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