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模糊Riemann-Stieltjes积分的收敛定理 被引量：1

The convergence theorems of fuzzy Riemann-Stieltjes integrals
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摘要 模糊Riemann-Stieltjes积分是模糊分析中的一类重要的模糊积分,但相应的积分序列的收敛定理尚未见到。将给出模糊数值函数列关于实函数和模糊数值函数关于实函数列的两类模糊Riemann-Stieltjes积分序列的收敛定理。 Fuzzy Riemann - Stieltjes integral is an important type of fuzzy integral in fuzzy analysis. Convergence theorem of the sequences of fuzzy Riemann - Stieltjes integrals has not appeared. Two convergence theorems of the sequences of fuzzy Riemann- Stieltjes integrals are derived.
作者 任雪昆 吴从炘
机构地区 哈尔滨工业大学理学院
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2008年第5期630-633,共4页 Journal of Natural Science of Heilongjiang University
基金 国家自然科学基金资助项目(10271035 10571035 70773029)
关键词 模糊数值函数 模糊Riemann-Stieltjes积分 收敛定理 fuzzy - number - valued function fuzzy Riemann - Stieltjes integral convergence theorem
分类号 O177.3 [理学—基础数学]
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参考文献7

  • 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 ; 8 (2) : 105 - 1 16 ; 8 (3) : 225 - 233.
  • 3Nanda S. On fuzzy integrals[J]. Fuzzy Sets and Systems, 1989, 32( 1 ) : 95 - 101.
  • 4Wu Hsien - Chung. The fuzzy Riemann - Stieltjes integral[ J ]. International Journal of Uncertainty, Fuzziness and Knowledge - Based Systems, 1998, 6(1) : 51 -67.
  • 5Ren Xuekun, Wu Congxin, Zhu Zhigang. A new kind of fuzzy Riemann -Stiehjes integral[ C]//Proeeeding of 2006 International Conference on Machine Learning and Cybernetics. Dalian : [ s. n. ],2006,3 : 1885 - 1888.
  • 6吴从炘,马明.模糊分析基础[M].北京:国防工业出版社,1991.
  • 7Wu Congxin, Wu Cong. The supremum and infimum of the set of fuzzy numbers and its application[ J]. Journal of Mathematical Analysis and Applications, 1997,210 : 499 -511.

同被引文献9

  • 1Dubois D,Prade H. Towards Fuzzy Differential Calculus[J]. Fuzzy Sets and Systems,1982,8(1-3) : 1-17,105-116,225-233.
  • 2Nanda S. On Fuzzy Integrals[J]. Fuzzy Sets and Systems, 1989,32(1) :95-101.
  • 3Wu Hsienehung. The Fuzzy Riemann-Stieltjes Integral[J]. International Journal of Uncertainty,Fuzziness and Knowledge-based Systems,1998,6(1):51-67.
  • 4Wu Chong. RSu Integral of Integral of Interval-valued Functionsand Fuzzy-valued Function Redefined[J]. Fuzzy Sets and Systems, 1996, 84:301-308.
  • 5Wu Congxin,Wu chong. A Note of the RSu Integrals of Fuzzy-valued Function[J]. Fuzzy Sets and Systems,1998,95:119-125.
  • 6Wu Chong, Wu Congxin. On Riemann-Stieltjes Type Integral of Fuzzy-valued Functions[C]. Proceeding of ICMLC2004 Conference, Shanghai, 2004,8 : 26-29.
  • 7Ren Xuekun,Wu Congxin, Zhu Zhigang. A New Kind of Fuzzy Riemann-Stieltjes Integral[C]. Proceeding of 2006 Intenational Conference on Machine Learning and Cybematics Dalian,2003,3:1 885-1 888.
  • 8吴从圻,马明.模糊分析基础[M].北京:国防工业出版社,1991.
  • 9Wu Cong xin,Wu Chong. The Supremum and Infimum of the Set of Fuzzy Numbers and Its Application[J]. Journal of Mathematical Analysis and Applications, 1997,210 : 499-511.

引证文献1

黑龙江大学自然科学学报
2008年 第5期

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