Ok, so I've been trying for hours to understand why a particular
equation has the result that it does. The equation uses fuzzy
triangular numbers, and approximations for operations on them. This
equation and the operations have been well cited in various journals,
about multi criteria decision making under uncertainty.

Anyway, I'd like someone to tell me step by step why the equation
equals what it equals! It *should* be very straightforward, I just
can't get my head around it.

I'm using ^2 to represent squaring, and ^1/2 to represent square
rooting. * is multiplication

{[(0.01, 0.05, 0.29) - (0.03, 0.20, 0.96)]^2
* [(0.02, 0.14, 0.74) - (0.02, 0.14, 0.74)]^2
* [(0.02, 0.06, 0.35) - (0.04, 0.25, 1.15)]^2
* [(0.10, 0.28, 0.96) - (0.18, 0.59, 1.91)]^2}^1/2

= (0.09, 0.39, 1.41)

For some more information on the operations I'm working with, please
go to this url: http://www.gamayun.com/google.doc

Thanks in advance!