Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

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

  • EUN, GWANG SIK (Department of Mathematics Education Chungbuk National University) ;
  • YOON, JU HAN (Department of Mathematics Education Chungbuk National University)
  • Received : 2019.01.14
  • Accepted : 2019.02.01
  • Published : 2019.02.15
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper we introduce the AP-Henstock-Stieltjes integral for fuzzy-number-valued functions on infinite interval and investigate some properties.

Keywords

References

  1. A. Boccto, B. Riecan, On the Henstock-Kurzweil for Riesz-space-valued functions defined on unbounded intervals, Czechoslovak Math. J. 54 (2004), no. 3, 591-607. https://doi.org/10.1007/s10587-004-6411-y
  2. Ke-feng Duan, The Henstock-Stieltjes integral for fuzzy number-valued functions on a infinite interval, J. Computational Analysis and Applications, 20 (2016), 928-938.
  3. K. S. 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. https://doi.org/10.14403/jcms.2012.25.2.291
  4. Z. Gong and L. wang, On Henstock-Stieltjes integral for fuzzy number-valued functions, Information Siences, 188 (2012), 276-297. https://doi.org/10.1016/j.ins.2011.11.024
  5. R. A. Gordon, The Integrals of Lebesgue, Denjoy, Perron, and Henstock, Studia Math. 92, 1994.
  6. P. Y. Lee, Lanzhou Lectures in Henstock Integration, World Scientific, 1989.
  7. P. Y. Lee and R. Vyborny, The integral:An easy approach after Kurzweil and Henstock, Cambridge Univ. Press, 2000.
  8. Ju Han Yoon, The AP-Henstock-Stieltjes integral for fuzzy number-valued functions, Journal of the Chungcheoug Math. Soc. 31 (2018), no. 1, 151-160.
  9. Ju Han Yoon, On convergence theorems of the AP-Henstock-Stieltjes integral for fuzzy number-valued functions, Journal of the Chungcheoug Math. Soc. 31 (2018), no. 3, 333-341.
  10. Congxin Wu and Zengtai Gong, On Henstock integrals of interval-valued functions and fuzzy-valued functions, Fuzzy Sets and Systems, 115 (2000), 377-392. https://doi.org/10.1016/S0165-0114(98)00277-2
  11. Congxin Wu and Zengtai Gong, On Henstock integrals of fuzzy number-valued functions(I), Fuzzy Sets and Systems, 120 (2001), 523-532. https://doi.org/10.1016/S0165-0114(99)00057-3