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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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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DOI: https://doi.org/10.1007/s00500-014-1254-4