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

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

초록

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.

참고문헌

1. Illinois J. Math. v.38 no.1 On the integration of vector-valued functions D.H.Fremlin;J.Mendoza
2. Grad. Stud. Math. 4, Amer. Math. Soc.,Providence, R.I. The integrals of Lebesgue, Denjoy, Perron and Henstock R.A.Gordon
3. Illinois J. Math. v.34 no.3 The McShane integral of Banach-valued functions R.A.Gordon
4. 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
5. 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
6. 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
7. Commun. Korean Math. Soc. On Denjoy-McShane-Stieltjes integral C.K.Park
8. 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
9. Kangweon-Kyungki Math. Jour. v.5 no.2 On McShane-Stieltjes integral J.H.Yoon;G.S.Eun;Y.C.Lee