Some remarks on fuzzy differential equations via differential inclusions

Some remarks on fuzzy differential equations via differential inclusions

In this paper we discuss the formulation and procedure for solving fuzzy differential equations via differential inclusions. We give several examples showing the correct and incorrect procedure for solving fuzzy differential equations. We show the connection between fuzzy differential equations and...

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Veröffentlicht in:Fuzzy sets and systems 2013-11, Vol.230, p.3-20
Hauptverfasser: Chalco-Cano, Y., Román-Flores, H.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Differential inclusions
Fuzzy
Fuzzy differential equations
Fuzzy differential inclusions
Fuzzy logic
Fuzzy set theory
Inclusions
Joints
Mathematical models
Numerical analysis
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Zusammenfassung:In this paper we discuss the formulation and procedure for solving fuzzy differential equations via differential inclusions. We give several examples showing the correct and incorrect procedure for solving fuzzy differential equations. We show the connection between fuzzy differential equations and fuzzy differential inclusions. Finally, we give some remarks on numerical algorithms for solving fuzzy differential equations via differential inclusions.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2013.04.017