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模糊Henstock-Stieltjes积分的进一步研究

The continuity of fuzzy Henstock-Stieltjes integrals
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摘要 给出模糊Henstock–Stieltjes引理,利用Henstock–Stieltjes引理证明积分原函数的连续性,其次给出和证明Henstock-Stieltjes积分序列的另一个收敛定理. The lemma of fuzzy Henstock-Stieltjes integral is given,and the continuity of the primitive of fuzzy Henstock-Stieltjes integrals are discussed by using the lemma,and another convergence theorem of the sequences of fuzzy Henstock-Stieltjes integrals is given.
作者 贾凤玲 刘开生 何万生
机构地区 天水师范学院数学与统计学院
出处 《重庆文理学院学报（自然科学版）》 2011年第3期5-7,共3页 Journal of Chongqing University of Arts and Sciences
基金 甘肃省教育厅科研项目(0608-04) 天水师范学院项目(TSA0933)
关键词 模糊Henstock-Stieltjes积分 模糊Henstock-Stieltjes引理 收敛定理 fuzzy Henstock-Stieltjes integral lemma of fuzzy Henstock-Stieltjes convergence theorem
分类号 O177 [理学—基础数学]
  • 相关文献

参考文献9

  • 1Zadeh L A. Fuzzy sets[ J]. hfform and Control, 1965 (8): 338 - 353.
  • 2Dubois D, Prade H. Towards fuzzy differential calculus [J]. Fuzzy Sets and Systems, 1982,8( 1 ) : 1 - 17.
  • 3Dubois D, Prade H. Towards fuzzy differential calculus [J]. Fuzzy Sets and Systems, 1982,8(2) : 105-116.
  • 4Dubois D, Prade H. Towards fuzzy differential calculus [J]. Fuzzy Sets and Systems, 1982,8(3) : 225-233.
  • 5Ren Xuekun, Wu Congxin, Zhu Zhigang. A new kind of fuzzy Riemann - Stieltjes integral [ A ]. Proceeding of 2006 International Conference on Machine learning and Cybem Etics. Dalian: [s. n].2006(3) :1885 - 1885.
  • 6贾凤玲,何万生,刘开生.模糊Henstock-Stieltjes积分的研究[J].重庆文理学院学报（自然科学版）,2010,29(6):5-6. 被引量：1
  • 7吴从,马明.模糊分析基础[M].北京:国防工业出版社.1991.
  • 8Wu Cong- xin, Wu Cong. The supremum and infimum of the set of fuzzy numbers and its application[ J]. Journal of Mathematical Analysis and Applications, 1997, 210(2) : 499 - 511.
  • 9Kim Y J. Integral by parts for the Henstock - Stieltjes integrals [ J ]. Journal of the Chung Cheong Mathematical Society, 1997,10( 1 ) :23 - 28.

二级参考文献8

  • 1Zadeh L A. Fuzzy sets[J]. Inform and Control, 1965 (8) :338 -353.
  • 2Dubois D, Prade H. Towards fuzzy differential calculus [J]. Fuzzy Sets and Systems, 1982,8 ( 1 ) : 1 - 17.
  • 3Dubois D, Prade H. Towards fuzzy differential calculus [J]. Fuzzy Sets and Systems, 1982,8(2):105-116.
  • 4Dubois D, Prade H. Towards fuzzy differential calculus [J]. Fuzzy Sets and Systems, 1982,8(3):225-233.
  • 5Ren Xue - kun, Wu Cong - xin, Zhu Zhi-gang. A new kind of fuzzy Riemann - Stieltjes integral [ A ]. Proceeding of 2006 International Conference on Machine Learning and Cybernetics,2006 ( 3 ) : 1885 - 1888.
  • 6吴从,马明.模糊分析基础[M].北京:国防工业出版社.1991.
  • 7Wu Cong- xin, Wu Cong. The supremum and infimum of the set of fuzzy numbers and its application [ J ]. Journal of Mathematical Analysis and Aplications, 1997, 210:499 -511.
  • 8Lee Pee Yee. Lanzhou Lectures on Henstock Integgration [M]. Singaproe: World scientific. 1989.
重庆文理学院学报（自然科学版）
2011年 第3期

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