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http://dx.doi.org/10.14403/jcms.2018.31.1.151

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

Yoon, Ju Han (Department of Mathematics Education Chungbuk National University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.31, no.1, 2018 , pp. 151-160 More about this Journal
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
fuzzy number; AP-Henstock-Stieltjes integral;
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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 S. Nada, On integration of fuzzy mapping, Fuzzy Sets and Systems, 32 (2000), 377-392.
5 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.
6 C. Wu and Z. Gong, On Henstock integrals of interval-valued functions and fuzzy-valued functions, Fuzzy Sets and Systems, 115 (2000), 377-392.
7 C. Wu and Z. Gong, On Henstock integrals of fuzzy number-valued functions (I), Fuzzy Sets and Systems, 120 (2001), 523-532.
8 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.
9 P. Y. Lee, Lanzhou Lectures in Henstock Integration, World Scientific, 1989.