From: scooter@btopenworld.com   
      
   Just to clarify, are you saying that HEIGHT, SHORT, MEDIUM and TALL   
   are all FLVs?   
      
   If so, in the lingo, how do you differentiate between HEIGHT and its   
   subsets? (so I know what to call my Java classes)   
      
   Thanks for your help   
      
      
      
   On Mon, 06 Oct 2003 16:20:59 +0200, Dmitry A. Kazakov   
    wrote:   
      
   >On Mon, 06 Oct 2003 19:18:26 +0530, scooter    
   >wrote:   
   >   
   >>I've read number of articles about FL and the terminology used is very   
   >>confusing. (and contradictory)   
   >   
   >No, see below.   
   >   
   >>Is a FLV comprised of a number of fuzzy sets or is a fuzzy set   
   >>comprised of a number of FLVs?   
   >>   
   >>In other words, Taking the former, I would define HEIGHT as a FLV,   
   >>which is comprised of the fuzzy sets: SHORT, MEDIUM and TALL. Is this   
   >>the correct terminology?   
   >   
   >Yes. A fuzzy lingustic variable is a fuzzy set.   
   >   
   >So SHORT, MEDIUM, TALL are fuzzy sets. They share the same domain set   
   >R+ (set of real numbers representing height, say, in cm). In other   
   >words they are fuzzy subsets of R+ or else fuzzy sets over R+. So   
   >formally written:   
   >   
   >SHORT : R+ -> [0, 1]   
   >MEDIUM : R+ -> [0, 1]   
   >TALL : R+ -> [0, 1]   
   >   
   >Now HEIGHT is also a fuzzy set, but it has *another* domain. Its   
   >domain set is { SHORT, MEDIUM, TALL }. So formally:   
   >   
   >HEIGHT : { SHORT, MEDIUM, TALL } -> [0, 1]   
   >   
   >This is the whole idea behind the liguistic variables. Instead of   
   >working with R+, which is a large infinite set, we are dealing with a   
   >very small finite set { SHORT, MEDIUM, TALL }. This is a way humans   
   >reduce complexity.   
   >   
   >See also:   
   >http://www.dmitry-kazakov.de/ada/fuzzy.htm#linguistic%20variable   
   >   
   >> (In some literature I've seen SHORT MEDIUM and TALL called FLVs and   
   >>HEIGHT the fuzzy set! It's v confusing)   
   >   
   >---   
   >Regards,   
   >Dmitry Kazakov   
   >www.dmitry-kazakov.de   
      
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