[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2012.25.2.291

ON AP-HENSTOCK-STIELTJES INTEGRAL OF INTERVAL-VALUED FUNCTIONS

Eun, Gwang Sik (Department of Mathematics Education Chungbuk National University)
Yoon, Ju Han (Department of Mathematics Education Chungbuk National University)
Park, Jae Myung (Department of Mathematics Chungnam University)
Lee, Deok Ho (Department of Mathematics Education Kongju National University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.25, no.2, 2012 , pp. 291-298 More about this Journal

Abstract

In this paper we introduce the interval-valued AP- Henstock-Stieltjes integral and investigate some properties of the these integrals.

Keywords

fuzzy number; AP-Henstock-Stieltjes integral;

Citations & Related Records

Reference

1	L. Chengzhong, Extension of the integral of interval-valued function and the integral of fuzzy-valued function, Fuzzy Math. 3 (1983), 45-52.
2	R. Henstock, Theory of integration, Butterworths, London, 1963.
3	P. Y. Lee, Lanzhou Lectures in Henstock Integration, World Scientific, 1989.
4	M. Matloka, On fuzzy integral, Pro. Polish Symp., Interval and Fuzzy Math. '86, Poznan, 95-101, 1989.
5	S. Nada, On integration of fuzzy mapping, Fuzzy Sets and Systems 32 (2000), 377-392.
6	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, 799-844.
7	C. Wu, Z. Gong, On Henstock integrals of interval-valued functions and fuzzy- valued functions, Fuzzy Sets and Systems 115 (2000), 377-392. DOI ScienceOn