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L-Fuzzy上（下）δ-几乎半连续多值映射及其性质
  • ISSN号：1000-5862
  • 期刊名称：《江西师范大学学报：自然科学版》
  • 时间：0
  • 分类：O153.1[理学—数学;理学—基础数学]
  • 作者机构：[1]延安大学数学与计算机科学学院,陕西延安716000, [2]西安交通大学理学院,陕西西安710049
  • 相关基金：国家自然科学基金（10871156）; 陕西省教育厅科研（08JK498）资助项目
作者： 姜金平[1], 王小霞[1], 侯延仁[2]
关键词： LF拓扑空间, LF多值映射, LF上(下)δ-几乎半连续多值映射, LF topological space, LF multifunction, LF lower and upper δ-nearly semicontinuous multifunction
中文摘要：

利用δ-开集研究了LF上（下）δ-几乎半连续多值映射及其等价刻划,并对其性质进行了讨论.证明了若f,g都是上（下）δ-几乎半连续的,则f∨g也是上（下）δ-几乎半连续的;若f是下δ-几乎半连续的,则f也是下δ-几乎半连续的.从而推广了LF上（下）半连续多值映射的相关结论.

英文摘要：

The concepts of L-fuzzy lower and upper δ-nearly semicontinuous multifunction are introduced and their some equivalent conditions are investigated with δ-openning sets.It is proved that f∨g are lower and upper δ-nearly semicontinuous multifunction if f and g are lower and upper δ-nearly semicontinuous multifunction.If f is lower δ-nearly semicontinuous multifunction,then f is lower δ-nearly semicontinuous multifunction.The relative conclusion of L-fuzzy lower and upper semicontinuous multifunction are extended.

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期刊信息
  • 《江西师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:江西师范大学
  • 主办单位:江西师范大学
  • 主编：
  • 地址：南昌市紫阳大道99号
  • 邮编：330022
  • 邮箱：lk8506184@126.com
  • 电话：0791-88506814
  • 国际标准刊号：ISSN：1000-5862
  • 国内统一刊号：ISSN：36-1092/N
  • 邮发代号:44-56
  • 获奖情况:
  • 2009年中国高等学校自然科学学报研究会颁发“全国...,2009年被评为：第四届华东地区优秀期刊奖”,2008年教育部科技司授予“第2届中国高校优秀科技...,2008年江西省新闻出版局授予“第3届江西省优秀期...,2004年教育部科技司授予“全国高校优秀科技期刊二...
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  • 被引量:5205