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Fuzzy differential equations

Fuzzy Sets and Systems, 2000
The authors consider the following fuzzy initial value problem \[ {du(t)\over dt}= f(t,u(t)),\quad t\in [0,\infty),\quad u(0)= u_0\in E^n,\tag{1} \] where \({du\over dt}\) denotes the Hukuhara derivative of function \(u,f:[0, \infty)\times E^n\to E^n\) is continuous, and the set \[ E^n:= \{u\in\mathbb{R}^n\to [0,1]\mid u\text{ satisfies (i)}\sim \text{(
Thomas Feuring
exaly   +4 more sources

ON FUZZINESS AND DUALITY IN FUZZY DIFFERENTIAL EQUATIONS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1996
In this work we define a conjugate fuzzy Cauchy problem and discuss the major differences between an ordinary and a conjugate fuzzy Cauchy problems. A necessary condition for the existence of a fuzzy solution to the conjugate fuzzy Cauchy problem is proposed.
Abraham Kandel   +2 more
openaire   +1 more source

Fuzzy differential equations by fuzzy-transform

2015 Annual Conference of the North American Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing (WConSC), 2015
The fuzzy transform setting (F-transform), as a tool for general continuous approximation of functions, is proposed to approximate the solution of ordinary, interval or fuzzy (levelwise) differential equations; in particular, one of the basic properties of inverse F-transform allows a good approximation of the solution x(t), starting with the uniform ...
Davide Radi, Luciano Stefanini
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Fuzzy delay differential equations

Fuzzy Optimization and Decision Making, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasile Lupulescu, Umber Abbas
openaire   +1 more source

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