Solving fuzzy differential equations based on the length function properties

Verfasser / Beitragende:
[T. Allahviranloo, M. Chehlabi]
Ort, Verlag, Jahr:
2015
Enthalten in:
Soft Computing, 19/2(2015-02-01), 307-320
Format:
Artikel (online)
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024 7 0 |a 10.1007/s00500-014-1254-4  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00500-014-1254-4 
245 0 0 |a Solving fuzzy differential equations based on the length function properties  |h [Elektronische Daten]  |c [T. Allahviranloo, M. Chehlabi] 
520 3 |a 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. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Generalized differentiability  |2 nationallicence 
690 7 |a Fuzzy differential equations  |2 nationallicence 
690 7 |a Length function  |2 nationallicence 
690 7 |a Fuzzy numbers  |2 nationallicence 
700 1 |a Allahviranloo  |D T.  |u Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran  |4 aut 
700 1 |a Chehlabi  |D M.  |u Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran  |4 aut 
773 0 |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/2(2015-02-01), 307-320  |x 1432-7643  |q 19:2<307  |1 2015  |2 19  |o 500 
856 4 0 |u https://doi.org/10.1007/s00500-014-1254-4  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00500-014-1254-4  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Allahviranloo  |D T.  |u Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Chehlabi  |D M.  |u Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Soft Computing  |d Springer Berlin Heidelberg  |g 19/2(2015-02-01), 307-320  |x 1432-7643  |q 19:2<307  |1 2015  |2 19  |o 500