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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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Towards the theory of fuzzy differential equations

Fuzzy Sets and Systems, 2002
Here, the authors consider a comparative analysis of alternative approaches found in the existing literature, the common point of these approaches being the fact that they all avoid the use of fuzzy derivatives. Moreover, the authors devote to three new ideas in the theory of such ``derivativeless'' fuzzy differential equations. Namely, they define the
Dmitri Vorobiev, Seppo Seikkala
exaly   +4 more sources

On a class of fuzzy functional differential equations

Fuzzy Sets and Systems, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasile Lupulescu
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Introduction to fuzzy partial differential equations

Fuzzy Sets and Systems, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thomas Feuring
exaly   +2 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, Menahem Friedman, Ming Ma 0001   +2 more
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Fuzzy delay differential equations

Fuzzy Optimization and Decision Making, 2011
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Vasile Lupulescu, Umber Abbas
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Solving Riccati Fuzzy Differential Equations

New Mathematics and Natural Computation, 2021
In this paper, a method for solving Riccati fuzzy differential equations is studied in great detail. To obtain the solution of Riccati fuzzy differential equations (RFDEs), we study the fuzzy differential equations (FDEs) using the concept of generalized [Formula: see text]-differentiability.
F. Karimi, Tofigh Allahviranloo, S. M. Pishbin, Saeid Abbasbandy   +3 more
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Fuzzy differential equations without fuzzy convexity

Fuzzy Sets and Systems, 2013
Classical fuzzy differential equations defined in terms of the Hukuhara derivative depend critically on the convexity of the level sets and result in expanding level sets. Here Hullermeier's suggestion of defining fuzzy differential equations at each level set via differential inclusions is combined with ideas of Aubin on morphological equations, which
Peter E. Kloeden, Thomas Lorenz
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On fuzzy differential equations

Fuzzy Sets and Systems, 1989
This paper is just an extension of another work by the first author [J. Math. Anal. Appl. 129, 346-361 (1988; Zbl 0645.54009)] where the authors equipped the space of regular fuzzy sets on a Banach space with uniform topology, embedded it into a locally convex topological vector space and then introduced a calculus for fuzzy mappings. Here, the authors
Ouyang, He, Wu, Yi
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On random fuzzy differential equations

Fuzzy Sets and Systems, 2009
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