If you downloaded it from my home page
http://www.geocities.com/ResearchTriangle/7220/
then I can answer.
This toy program simulates an ordinary calculator but
uses ordinary real numbers from the interval [0,1] and
T-norm and conorm as operations (i.e., it does not use
fuzzy distributions as numbers like all other calculators).
The operation of multiplication is defined as follows:
i(x,y) = log_s [1 + (s^x-1)(s^y-1)/(s-1)]
where s is a parameter of the operation (set in the About
dialog -- default value is 1). There are also other formulas
but in our calculator we implemented this one.
In particular,
- if s = 0, i(x,y) = min(x,y)
- if s = 1, i(x,y) = xy
- if s = infinity, i(x,y) = max(0,x+y-1)
The sum is defined from the condition:
u(x,y) + i(x,y) = x + y
In particular,
- if s = 0, u(x,y) = max(x,y)
- if s = 1, u(x,y) = x + y - xy
- if s = infinity, u(x,y) = min(1,x+y)
If you used default parameter s=1, then
0.5 + 0.5 = u(0.5,0.5) = 0.5 + 0.5 - 0.5*0.5 =
= 1 - 0.25 = 0.75
Regards,
-- Alexandr A. Savinov, PhD Senior Scientific Collaborator, Laboratory of AI Systems Inst. Math., Moldavian Acad. Sci. str. Academiei 5, MD-2028 Kishinev, Moldavia Tel: +3732-73-81-30, Fax: +3732-73-80-27 E-mail: savinov@math.md URL: http://www.geocities.com/ResearchTriangle/7220/-----== Posted via Deja News, The Leader in Internet Discussion ==----- http://www.dejanews.com/ Now offering spam-free web-based newsreading
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