DOI QR코드

DOI QR Code

ON AP-HENSTOCK-STIELTJES INTEGRAL FOR FUZZY-NUMBER-VALUED FUNCTIONS

  • Yoon, Ju Han (Department of Mathematics Education Chungbuk National University)
  • Received : 2018.01.30
  • Accepted : 2018.02.05
  • Published : 2018.02.15

Abstract

In this paper we introduce the AP-Henstock-Stieltjes integral for fuzzy-number-valued functions which is an extension of the Henstock-Stieltjes integral and investigate some properties.

Keywords

References

  1. J. H. Eun, J. H. Yoon, J. M. Park, and D. H. Lee, On Henstock integrals of interval-valued functions, Journal of the Chungcheoug Math. Soc. 25 (2012), 291-287.
  2. Z. Gong and L. wang, On Henstock-Stieltjes integral for fuzzy number-valued functions, Information Siences, 188 (2012), 276-297.
  3. R. A. Gordon, The Integrals of Lebesgue, Denjoy, Perron, and Henstock, 4, American Mathematical Soc. 1994.
  4. P. Y. Lee, Lanzhou Lectures in Henstock Integration, World Scientific, 1989.
  5. S. Nada, On integration of fuzzy mapping, Fuzzy Sets and Systems, 32 (2000), 377-392.
  6. J. M. Park, C. G. Kim, J. B. Lee, D. H. Lee, and W. Y. Lee, The integrals of s-Perron, sap-Perron and ap-Mcshane, Czechoslovak Mathemathematical Journal, 54 (2004), 545-557.
  7. C. Wu and Z. Gong, On Henstock integrals of interval-valued functions and fuzzy-valued functions, Fuzzy Sets and Systems, 115 (2000), 377-392.
  8. C. Wu and Z. Gong, On Henstock integrals of fuzzy number-valued functions (I), Fuzzy Sets and Systems, 120 (2001), 523-532.
  9. J. H. Yoon, J. M. Park, Y. K. Kim, and B. M. Kim, The AP-Henstock Extension of the Dunford and Pettis Integrals, Journal of the Chungcheoug Math. Soc. 23 (2010), no. 4, 879-884.