Re: if a<=b then prove c(a) >= c(b)

Vivek B wrote:
First of all please forgive me for giving such a heading.

I had this problem in an exam where i was suppossed to prove that
sugeno class of fuzzy compliment is monotonic non increasing.. The
problem eventually is the following

C(a) = (1-a) / (1 + s*a) ; where 0 <= a <= 1. and s belongs to (-1,
infinity)

if for a,b belongs to (0,1)

a <= b then prove that C(a) >= C(b)

I easily proved it for the interval (0, infinity) but I still need to
prove it for (-1,0)..

Well do you guys have a solution.. ???

Thank you..

Vivek

Show that the derivative of C(a) w.r.t. 'a'

C'(a)= -(1+s)/(1+sa)^2

is not positive in the ranges that you listed for 'a' and s.

-- mecej4
.

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