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模糊数值函数的H-差,H-可导性和S-可导性 被引量：1

H-Difference, H-Differentiability and S-Differentiability for Fuzzy Valued Functions
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摘要 本文提出了区间值函数单调的概念,并利用所定义的区间值函数刻划了模糊数值函数的H-差, H-可导性和S-可导性及其相互关系． In this paper, we introduce the concept of monotonicity of interval functions and give the characterization of fuzzy valued functions which satisfies the H-difference. Furthermore, relations among H-difference, H-differentiability and S-differentiability are discussed.
作者 巩增泰 孔芳第
机构地区 西北师范大学数学与信息科学学院 兰州理工大学理学院
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第1期35-40,共6页 数学研究与评论（英文版）
基金 the Natural Scientific Fund of Gansu Province(3ZS041-A25-004) the National Natural Science Stree Fund of China(40235053)
关键词 模糊数 模糊数值函数 H-差 fuzzy number fuzzy valued functions H-difference.
分类号 O159 [理学—基础数学]
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参考文献7

  • 1GONG Zeng-tai.On the problem of characterizing derivatives for the fuzzy-valued functions.Ⅱ.Almost everywhere differenthibility and strong Henstock integral[J].Fuzzy Sets and Systems,2004,145:381-393.
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同被引文献15

  • 1巩增泰,李娟,姚红霞.模糊数值函数的Denjoy型积分[J].西北师范大学学报（自然科学版）,2006,42(3):1-4. 被引量：1
  • 2Paredes L I, Lee P Y, Chew T S. Banach-valued HL multiple integral[D]. Singapore:National University of Singapore,2002.
  • 3Henstock R. The General Theory of Integgration[M]. Oxford:Oxford Uniuersity Press,1991.
  • 4Lu J T, Lee P Y. The primitive of Henstock integrable functions in Euclidean space[J]. Bull London Math Soc,1999,31(2):173-180.
  • 5Chew T S. On Henstock’s inner variation and strong derivatives[J]. Real Analysis Exchange,2001,27(2):725-734.
  • 6Ye Guo-ju. Some characterizations of the primitive of strong Henstock-Kurzweil integrable functions[J]. Mathematica Bohemica,2006,131(3):279-290.
  • 7Gong Z T. On the problem of characterizing derivatives for the fuzzy-valued-functions(II):almost everywhere differentiabilty and strong Henstock integral[J]. Fuzzy Sets and Systems,2004,145:381-393.
  • 8Lee P Y. Lanzhou Lectures on Henstock Integgration[M]. Singapore:World scientific,1989.
  • 9Wang R S. Some inequalities and convergence theorems for Choquet integrals[J]. J Appl Math Comput,2011,35(1):305-321.
  • 10吴从炘,马明,方锦暄.模糊分析学结构理论[M].贵阳:贵州科学出版社,1994.

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Journal of Mathematical Research and Exposition
2007年 第1期

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