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- Davide Radi, Luciano Stefanini
- 2015 Annual Conference of the North American…
- 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… (More)

- Luciano Stefanini
- Fuzzy Sets and Systems
- 2010

- Barnabás Bede, Luciano Stefanini
- Fuzzy Sets and Systems
- 2013

In the present paper, using novel generalizations of the Hukuhara di¤erence for fuzzy sets, we introduce and study new generalized di¤erentiability concepts for fuzzy valued functions. Several properties of the new concepts are investigated and they are compared to similar fuzzy di¤erentiabilities
nding connections between them. Characterization and… (More)

- Luciano Stefanini, Laerte Sorini, Maria Letizia Guerra
- Fuzzy Sets and Systems
- 2006

We present several models to obtain simple parametric representations of the fuzzy numbers or intervals, based on the use of piecewise monotonic functions of different forms. The representations have the advantage of allowing flexible and easy to control shapes of the fuzzy numbers (we use the standard -cuts setting, but also the membership functions are… (More)

- Maria Letizia Guerra, Luciano Stefanini
- Fuzzy Sets and Systems
- 2005

We suggest the use of piecewise monotonic interpolations to approximate and represent a fuzzy number (or interval) and to derive a procedure to control the absolute error associated to the arithmetic operations (+,−, ·, :) between fuzzy numbers, in order to reduce the distance between the true result of the operation and its approximation. The monotonic… (More)

- Luciano Stefanini
- Fuzzy Sets and Systems
- 2011

- Luciano Stefanini
- IFSA/EUSFLAT Conf.
- 2009

- Barnabás Bede, Luciano Stefanini
- EUSFLAT Conf.
- 2011

The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued functions, to obtain valid approximations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of in nitely many ordinary differential equations and, by… (More)

- Luciano Stefanini
- IPMU
- 2010

We present new tools for fuzzy arithmetic with fuzzy numbers, based on the parametric representation of fuzzy numbers and new fuzzy operations, the generalized difference and the generalized division of fuzzy numbers. The new operations are described in terms of the parametric LR and LU representations of fuzzy numbers and the corresponding algorithms are… (More)

- Luciano Stefanini
- SMPS
- 2008