Lotfi: > The issue of how to define " approximately X, " where X is a real > number, came up in earlier comments. In my view, the most natural way > is to regard "approximately X" as a label of a fuzzy subset of the > real line. This fuzzy subset would be characterized by its membership > function, that is, by specifying the degree to which a real number, > u, fits the description " approximately X," for each u. It is > possible, of course, but is not realistic, to define "approximately X" > as an interval centering on X.
So you end up with something like Kalman filtering, where "approximately X" is defined as a normal distribution. > What you will find is that existing bivalent-logic decision theories > are ill-suited to deal with the problem of imprecision. I can't see why that would be the case? Just integrate over all the u that fit the description "approximately X", weighted by the degree, no? Jiri -- Jiri Baum <[EMAIL PROTECTED]> http://www.csse.monash.edu.au/~jirib
