The Henstock-Stieltjes Integral for $n$-dimensional Fuzzy-Number-Valued Functions


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Authors

  • Muawya Elsheikh Hamid School of Mathematical Science, Yangzhou University, Yangzhou, P.R.China
  • Luoshan Xu School of Mathematical Science, Yangzhou University, Yangzhou, P.R.China
  • Zengtai Gong College of Mathematics and Statistics, Northwest Normal University, Lanzhou, P.R.China

Keywords:

Fuzzy numbers, $n$-dimensional fuzzy-number-valued functions, (FHS) integral, support function $F^*(t)(r,x)$

Abstract

In this paper, the concept of ($FHS$) integral for $n$-dimensional fuzzy-number-valued functions is presented, several necessary and sufficient conditions of integrability for $n$-dimensional fuzzy-number-valued functions are given by means of this concept.

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Published

15-02-2017

How to Cite

Muawya Elsheikh Hamid, Luoshan Xu, & Zengtai Gong. (2017). The Henstock-Stieltjes Integral for $n$-dimensional Fuzzy-Number-Valued Functions. International Journal of Mathematics And Its Applications, 5(1 - B), 171–185. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/766

Issue

Vol. 5 No. 1 - B (2017)

Section

Research Article

License

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