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On Denjoy-McShane-Stieltjes Integral of Fuzzy-Number-Valued Functions

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Advanced Intelligent Computing Theories and Applications (ICIC 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9227))

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Abstract

In this paper, we introduce the concepts of the McShane-Stieltjes integral and the Denjoy-McShane-Stieltjes integral for fuzzy-number-valued functions and give a characterization of the McShane-Stieltjes integrability and investigate some properties of the Denjoy-McShane-Stieltjes integral.

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Acknowledgments

This work is supported by National Natural Science Foundation of China under grant No. 11161041.

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Authors and Affiliations

  1. Yibin Vocational and Technical College, Yibin, 644003, Sichuan, China

    Wenkai Shao, Jiechang Ruan & Shu Gong

Authors
  1. Wenkai Shao
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  2. Jiechang Ruan
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  3. Shu Gong
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Corresponding author

Correspondence to Wenkai Shao .

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Editors and Affiliations

  1. Tongji University, Shanghai, China

    De-Shuang Huang

  2. Incheon, Korea (Republic of)

    Kyungsook Han

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Shao, W., Ruan, J., Gong, S. (2015). On Denjoy-McShane-Stieltjes Integral of Fuzzy-Number-Valued Functions. In: Huang, DS., Han, K. (eds) Advanced Intelligent Computing Theories and Applications. ICIC 2015. Lecture Notes in Computer Science(), vol 9227. Springer, Cham. https://doi.org/10.1007/978-3-319-22053-6_17

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  • DOI: https://doi.org/10.1007/978-3-319-22053-6_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22052-9

  • Online ISBN: 978-3-319-22053-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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