The fuzzy \(C\)-delta integral on time scales

Volume 11, Issue 1, pp 161--171 http://dx.doi.org/10.22436/jnsa.011.01.12

Publication Date: January 20, 2018 Submission Date: September 15, 2017 Revision Date: October 18, 2017 Accteptance Date: December 08, 2017

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Authors

Xuexiao You - College of Computer and Information, Hohai University, Nanjing, Jiangsu 210098, P. R. China. - School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, P. R. China. Dafang Zhao - School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, P. R. China. - College of Science, Hohai University, Nanjing, Jiangsu 210098, P. R. China. Jian Cheng - School of Mathematics and Statistics, Hubei Normal University, Huangshi, Hubei 435002, P. R. China. Tongxing Li - LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing, Linyi University, Linyi, Shandong 276005, P. R. China. - School of Information Science and Engineering, Linyi University, Linyi, Shandong 276005, P. R. China.

Abstract

In this paper, we introduce and study the \(C\)-delta integral of interval-valued functions and fuzzy-valued functions on time scales. Also, some basic properties of the fuzzy \(C\)-delta integral are proved. Finally, we give two necessary and sufficient conditions of integrability.

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Keywords

• \(C\)-Delta integral
• fuzzy-valued function
• time scale

MSC

•  26A42
•  26E50
•  26E70

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