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Calculus of fuzzy functions on time scales (I)

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Abstract

This paper deals with fuzzy-number-valued functions on time scales, and more particularly focuses on a class of new derivative and Henstock–Kurzweil integral of such fuzzy functions. Furthermore, the corresponding fundamental properties of the introduced derivative and integral are studied and discussed.

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Acknowledgments

The authors would like to express their sincere appreciation to the anonymous referees for their valuable comments and suggestions which improved the paper.

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Authors and Affiliations

  1. Faculty of Applied Mathematics, School of Mathematics and Computer Science, Damghan University, Damghan, Iran

    Omid Solaymani Fard

  2. Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran

    Tayebeh A. Bidgoli

Authors
  1. Omid Solaymani Fard
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  2. Tayebeh A. Bidgoli
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Corresponding author

Correspondence to Omid Solaymani Fard.

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Communicated by V. Loia.

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Fard, O.S., Bidgoli, T.A. Calculus of fuzzy functions on time scales (I). Soft Comput 19, 293–305 (2015). https://doi.org/10.1007/s00500-014-1252-6

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  • DOI: https://doi.org/10.1007/s00500-014-1252-6

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