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Fuzzy linear singular differential equations under granular differentiability concept
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DOI：10.1016/j.fss.2021.01.003.png)
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Abstract
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In this paper, fuzzy linear singular differential equations under so-called granular differentiability are investigated in which the coefficients and initial conditions are as fuzzy numbers. Some new notions such as fuzzy nilpotent matrix, fuzzy linearly independent vectors, fuzzy eigenvectors, rank, index and fuzzy Jordan canonical form of a fuzzy matrix are introduced. Moreover, we compare the proposed method with other ones based on other derivatives, using some examples. (c) 2021 Published by Elsevier B.V.
Keywords:
Horizontal membership functions
RDM arithmetic
Fuzzy singular differential equations
Granular differentiability
Fuzzy Jordan canonical form
Fuzzy nilpotent matrix
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