| K-拟可加模糊数值积分的零可加性与绝对连续性 |
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| 引用本文： | 王贵君,李晓萍.K-拟可加模糊数值积分的零可加性与绝对连续性[J].系统工程理论与实践,2005,25(1):117-122. |
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| 作者姓名： | 王贵君 李晓萍 |
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| 作者单位： | 天津师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(50305023)，天津市高校科技发展基金(20031410) |
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| 摘 要： | 在K-拟可加模糊测度空间的任一子集上,针对给定的某一个μ-可积模糊数值函数,建立所谓的K-拟可加模糊数值积分.进而将这种积分整体看成可测空间上取值于模糊数值的集函数,应用其积分转换定理,讨论它们的零可加性和绝对连续性等.
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| 关 键 词： | 诱导算子 K-拟可加模糊测度 μ-可积 K-拟可加模糊数值积分 零可加 （模糊）绝对连续 |
| 文章编号： | 1000-6788(2005)01-0117-06 |
| 修稿时间： | 2004年2月27日 |
Null-Additivity and Absolute Continuity of K-quasi-Additive Fuzzy Number Valued Integrals |
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| WANG Gui-jun,LI Xiao-ping.Null-Additivity and Absolute Continuity of K-quasi-Additive Fuzzy Number Valued Integrals[J].Systems Engineering —Theory & Practice,2005,25(1):117-122. |
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| Authors: | WANG Gui-jun LI Xiao-ping |
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| Institution: | College of Mathematics Science,Tianjin Normal University |
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| Abstract: | On an arbitrary subset of K-quasi-additive fuzzy measures space, aim at an given -integrable fuzzy number valued function, we establish the K-quasi-additive fuzzy number valued integrals, and regard all of this kind of integrals as set functions being taken valued fuzzy number valued on the measurable spaces, applying the integrals transformation theormem, we discuss their null-additivity and absolute continuity etc. |
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| Keywords: | Induce operators K-quasi-additive fuzzy measures -integrable K-quasi-additive fuzzy number valued integrals null-additivity absolute continuity |
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