About Projections of Solutions for Fuzzy Differential Equations

Abstract

In this paper we propose the concept offuzzy projectionson 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.

On Fuzzy Solutions for Diffusion Equation

“…Zadeh's extension̂has been studied and applied by many authors, including [12,[16][17][18], in the study of fuzzy fractals and Nguyen [7] in set-representation of fuzzy sets.…”

P-Fuzzy Diffusion Equation Using Rules Base

“…Subjectivity supported by fuzzy equations refers to uncertainties as the initial states of fuzziness demographic variables and parameters of fuzziness environmental. In general, both types of fuzziness are present in equations of population dynamics [6][7][8][9].…”