期刊文献+

集值映射在模糊序下的弱自连续性 被引量:1

Weak Autocontinuity of Set-valued Mapping under a Fuzzy Order
下载PDF
导出
摘要 在m维正欧式空间的子集类上利用模糊序结构建立了序收敛的情况下,定义了集值模糊测度的弱自连续,讨论了它与集值模糊测度一致自连续的关系,得到了一些有趣的结果. By the concept of convergence with respect to the fuzzy order of set sequences in m dimensional positive Euclid space,the weak autocontinuity of set-valued mapping is defined,and weak autocontinuity and uniform autocontinuity for the set-valued fuzzy measure are discussed,and the relationships between them are studied.Then we have obtained some interesting conclusions.
作者 潘文武 马勇
出处 《甘肃科学学报》 2009年第4期114-116,共3页 Journal of Gansu Sciences
关键词 弱自连续性 一致自连续 集值模糊测度 weak autocontinuity uniform autocontinuity set-valued fuzzy measure
  • 相关文献

参考文献10

  • 1Aumann R J. Intergal of Set-valued Functions[J]. J Math Anal Appl, 1964,12 : 1-12.
  • 2Datko R. Measurability Properties of Set-valued Mappings in a Banach Space[J]. Saiam J Control, 1970,8 : 226-238.
  • 3Artstein Z. Set-valued Measure[J]. Trans Am Math Soc, 1972,165 .. 103-125.
  • 4Wang Zhen-yuan. The Autocontinuity of Set Function and the Fuzzy Integal[J]. J Math Anal Appl, 1984,99 : 195-218.
  • 5Zhang Guang-quan. Fuzzy Number-valued Measure and Fuzzy Number-valued Fuzzy Integral on the Fuzzy Set[J]. Fuzzy Sets and Systems,1992,49(3) :357-376.
  • 6Jang L C. Some Properties of Choquet Integrals of Set-valued Functions[J]. Fuzzy Sets and Systems, 1997,91 (1) ; 95-98.
  • 7李娟,巩增泰.n维模糊数值函数的Denjoy型积分[J].甘肃科学学报,2007,19(1):39-43. 被引量:1
  • 8张文修.集值测度的表示定理.数学学报,1982,25(2):201-208.
  • 9王贵君,李晓萍.广义模糊值Choquet积分的零可加性[J].系统工程理论与实践,2004,24(2):100-105. 被引量:11
  • 10高娜,李艳红,王贵君.集值模糊测度的自连续性[J].四川师范大学学报(自然科学版),2008,31(4):386-389. 被引量:12

二级参考文献22

  • 1汪玲,巩增泰.无穷区间上模糊(H)积分及数值积分:分式与误差[J].甘肃科学学报,2006,18(1):6-10. 被引量:5
  • 2郝娜,王贵君.广义模糊值Choquet积分的双零渐近可加性[J].四川师范大学学报(自然科学版),2007,30(1):62-65. 被引量:2
  • 3张文修 李腾.集值测度的表示定理.数学学报,1998,2:201-208.
  • 4吴从炘,马明,方锦暄.模糊分析学结构理论[M].北京:贵州科技出版社,1994.
  • 5Puri M L, Ralescu D A. Fuzzy Random Variables[J]. J Math Anal Appl, 1986,114:409-422.
  • 6Kakeva O, Fuzzy Differential Equations[J]. Fuzzy Sets and Systems, 1987,24:301-317.
  • 7Goetschel R, Voxman W. Elementary Fuzzy Calculus[J ]. Fuzzy Sets and Systems, 1986,18 : 31-43.
  • 8Wu Congxin, Ma Ming. Embedding Problem of Fuzzy Number Space: Part Ⅱ[J]. Fuzzy Sets and Systems, 1992,45:189-202.
  • 9Kim Y K. Ghil B M. Integrals of Fuzzy-number-valued Functions[J]. Fuzzy Sets and Systems, 1997,86:213-22.
  • 10Wu Congxin. Gong Zengtai. On Henstock Integrals of Interval-valued Functions and Fuzzy-valued Functions[J]. Fuzzy Sets and Systems. 2000.115 : 377-391.

共引文献21

同被引文献7

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部