| 一类新的模糊积分的性质 |
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| 引用本文： | 尤翠莲,王根森. 一类新的模糊积分的性质[J]. 河北大学学报(自然科学版), 2011, 31(4): 337-340 |
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| 作者姓名： | 尤翠莲 王根森 |
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| 作者单位： | 1. 河北大学数学与计算机学院,河北保定,071002
2. 河北冀铁集团公司经营开发部,河北石家庄,050051 |
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| 基金项目： | 国家自然科学基金资助项目,河北省自然科学基金资助项目,河北大学博士基金资助 项目 |
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| 摘 要： | 在求解由刘过程驱动的模糊微分方程以及证明其存在唯一性时,若利用关于刘过程的模糊积分的定义直接计算或证明是非常困难的,因此必须研究此类模糊积分的性质.提出了3条模糊积分的存在性条件和3条模糊积分的性质,以便简化有关的计算和证明.
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| 关 键 词： | 模糊变量 模糊过程 模糊积分 |
Properties of a New Kind of Fuzzy Integral |
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| YOU Cui-lian,WANG Gen-sen. Properties of a New Kind of Fuzzy Integral[J]. Journal of Hebei University (Natural Science Edition), 2011, 31(4): 337-340 |
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| Authors: | YOU Cui-lian WANG Gen-sen |
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| Affiliation: | 1.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China;2.Sales and Development Department,Hebei Jitie Group Company,Shijiazhuang 050051,China) |
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| Abstract: | As solve fuzzy differential equations drived by Liu process and prove its existence and uniqueness theorem,it seems very difficult to calculate or prove only by using the definition of fuzzy integral with respect to Liu process,thus it is necessary to study the properties of this type of fuzzy integral,in order to simplify the calculations and prove involved fuzzy integral,this paper introduces three conditions for the existence of fuzzy integral and three properties of this type of fuzzy integral. |
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| Keywords: | fuzzy variable fuzzy process fuzzy integral |
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