DOI QR코드

DOI QR Code

ON MCSHANE-STIELTJES INTEGRALS OF INTERVAL-VALUED FUNCTIONS AND FUZZY-NUMBER-VALUED FUNCTIONS

  • Park, Chun-Kee (Department of Mathematics, Kangwon National University)
  • Published : 2004.05.01

Abstract

In this paper we introduce the concept of the McShane-Stieltjes integrals of interval-valued functions and fuzzy-number-valued functions and investigate some of their properties.

References

  1. J. Math. Anal. Appl. v.137 no.2 Some remarks on generalized Riemann integral S.Hu;V.Lakshmikantham https://doi.org/10.1016/0022-247X(89)90260-6
  2. Commun. Korean Math. Soc. On Denjoy-McShane-Stieltjes integral C.K.Park
  3. Kangweon-Kyungki Math. Jour. v.5 no.2 On McShane-Stieltjes integral J.H.Yoon;G.S.Eun;Y.C.Lee
  4. Fuzzy Math. v.3 no.3 Extension of the integral of interval-valed function and the integral of fuzzy-valued function Chengzhong Luo;Demu Wang
  5. Illinois J. Math. v.34 no.3 The McShane integral of Banach-valued functions R.A.Gordon
  6. Illinois J. Math. v.38 no.1 On the integration of vector-valued functions D.H.Fremlin;J.Mendoza
  7. Grad. Stud. Math. 4, Amer. Math. Soc.,Providence, R.I. The integrals of Lebesgue, Denjoy, Perron and Henstock R.A.Gordon
  8. Fuzzy Sets and Systems v.32 no.1 On integration of fuzzy mappings S.Nanda https://doi.org/10.1016/0165-0114(89)90090-0
  9. Fuzzy Sets and Systems v.115 no.3 On the Henstock integrals of interval-valued functions and fuzzy-valued functions Congxin Wu;Zhengtai Gong https://doi.org/10.1016/S0165-0114(98)00277-2