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Solving fuzzy differential equations based on the length function properties

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Abstract

In this paper, first, some properties of the length function for fuzzy numbers are introduced and then they are used for the concept of H-difference on fuzzy number-valued functions. Moreover the concept of generalized differentiability, its properties and switching points related to derivative of fuzzy number-valued functions are discussed in detail. Finally, the fuzzy differential equation is considered based on the concept of length function and it is illustrated by solving some numerical examples.

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Acknowledgments

We thank the Editor in Chief, Associate editor in chief and the anonymous referees for their interesting and valuable comments.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    T. Allahviranloo & M. Chehlabi

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  1. T. Allahviranloo
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  2. M. Chehlabi
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Correspondence to T. Allahviranloo.

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Communicated by P.-C. Chung.

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Allahviranloo, T., Chehlabi, M. Solving fuzzy differential equations based on the length function properties. Soft Comput 19, 307–320 (2015). https://doi.org/10.1007/s00500-014-1254-4

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