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International Conference on Intelligent Computing

ICIC 2012: Intelligent Computing Technology pp 65–72Cite as

Discontinuous Fuzzy Systems and Henstock Integrals of Fuzzy Number Valued Functions

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7389))

Abstract

In this paper, using the properties of the strong Henstock integrals of fuzzy-number-valued functions and controlled convergence theorem, we prove the existence theorem for the discontinuous fuzzy system x′ = \(\tilde f(t,x)\) in fuzzy number space, where f is strong fuzzy Henstock integrable.

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Author information

Authors and Affiliations

  1. College of Mathematics and Computer Science, Northwest University for Nationalities, Lanzhou, 730030, China

    Yabin Shao

  2. College of Mathematics and Information Science, Northwest Normal University, Lanzhou, 730070, China

    Zengtai Gong

Authors
  1. Yabin Shao
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  2. Zengtai Gong
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Editor information

Editors and Affiliations

  1. School of Electronics and Information Engineering, Machine Learning and Systems Biology Laboratory, Tongji University, 4800 Caoan Road, 201804, Shanghai, China

    De-Shuang Huang

  2. School of Electronics and Information Engineering, Tongji University, 4800 Caoan Road, 201804, Shanghai, China

    Changjun Jiang

  3. Electrical and Electronics Department, Polytechnic of Bari, Via Orabona, 4, 70125, Bari, Italy

    Vitoantonio Bevilacqua

  4. Faculty of Engineering, District University Francisco José de Caldas, Cra. 7a No. 40-53, Fifth Floor, Bogotá, Colombia

    Juan Carlos Figueroa

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© 2012 Springer-Verlag Berlin Heidelberg

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Shao, Y., Gong, Z. (2012). Discontinuous Fuzzy Systems and Henstock Integrals of Fuzzy Number Valued Functions. In: Huang, DS., Jiang, C., Bevilacqua, V., Figueroa, J.C. (eds) Intelligent Computing Technology. ICIC 2012. Lecture Notes in Computer Science, vol 7389. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31588-6_9

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  • DOI: https://doi.org/10.1007/978-3-642-31588-6_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31587-9

  • Online ISBN: 978-3-642-31588-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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