## Journal of Applied Mathematics

### About Projections of Solutions for Fuzzy Differential Equations

#### Abstract

In this paper we propose the concept of fuzzy projections on subspaces of $ℱ\left({ℝ}^{n}\right)$, obtained from Zadeh's extension of canonical projections in ${ℝ}^{n}$, and we study some of the main properties of such projections. Furthermore, we will review some properties of fuzzy projection solution of fuzzy differential equations. As we will see, the concept of fuzzy projection can be interesting for the graphical representation of fuzzy solutions.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 184950, 9 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394808027

Digital Object Identifier
doi:10.1155/2013/184950

Mathematical Reviews number (MathSciNet)
MR3067457

Zentralblatt MATH identifier
1271.34001

#### Citation

Cecconello, Moiseis S.; Leite, Jefferson; Bassanezi, Rodney C.; Silva, Joao de Deus M. About Projections of Solutions for Fuzzy Differential Equations. J. Appl. Math. 2013 (2013), Article ID 184950, 9 pages. doi:10.1155/2013/184950. https://projecteuclid.org/euclid.jam/1394808027

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