Journal of Applied Mathematics
Volume 2013 (2013), Article ID 184950, 9 pages
http://dx.doi.org/10.1155/2013/184950
Research Article

About Projections of Solutions for Fuzzy Differential Equations

Moiseis S. Cecconello,1 Jefferson Leite,2 Rodney C. Bassanezi,3 and Joao de Deus M. Silva4

1DMAT-ICET-UFMT, 78075-202 Cuiabá, MT, Brazil
2DEMAT-CCN-UFPI, 64063040 Teresina, PI, Brazil
3CMCC-UFABC, 09210-170 Santo André, SP, Brazil
4CCET-UFMA, 65085-558 São Luiís, MA, Brazil

Received 13 February 2013; Accepted 23 April 2013

Academic Editor: Ch. Tsitouras

Copyright © 2013 Moiseis S. Cecconello et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper we propose the concept of fuzzy projections on subspaces of , obtained from Zadeh's extension of canonical projections in , 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.