Title of article :
Differential Equations with Fuzzy Parameters via
Differential Inclusions
Author/Authors :
Tadeusz Rze?zuchowski and Janusz Wa¸sowski1، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2001
Abstract :
We give a definition of solutions of ordinary differential equations in n containing
parameters which are described by changing in time fuzzy sets. They are
defined as fuzzy subsets of the space of absolutely continuous functions. We introduce
a hypograph metric in the space of fuzzy sets and prove a theorem on
continuous dependence of fuzzy solutions on parameters and initial conditions with
respect to that metric.
Keywords :
ordinary differential equations , ?-cuts , hypograph metric , continuous dependence. , Fuzzy parameters , differentialinclusions
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications