From: pmd@maths.uq.edu.au   
      
   You can also have the best of both worlds by having fuzzy-set-valued   
   random variables. It is not easy to apply this theory to practical   
   applications, but there has been several to estimation of mineral   
   deposits. This theory closely follows G. Matheron's work on random sets   
   and kriging.   
      
   Cordially,  Phil   
      
   #######################################################################   
   Dr Phil Diamond pmd@maths.uq.edu.au   
   Department of Mathematics, University of Queensland, Brisbane,AUSTRALIA   
   4072.   
      
   "Andrzej Pownuk"  writes:   
      
   >Dear Dmitry,   
      
   >> >*******************************************************   
   >> >Dear Andrzej   
   >> >   
   >> >Your examples illustrate the point I made in my message(7-l6-03),   
   >> >namely, that standard probability theory, PT, does not address problems   
   >> >in which, as in your examples, we encounter partiality of truth and/or   
   >> >partiality of possibility. Thus, in the proposition, "Robert is half-   
   >> >German, quarter- French and quarter- Italian," the numbers 0.5, 0.25 and   
   >> >0.25 are not probabilities but grades of membership or, equivalently,   
   >> >truth values.   
   >> >   
   >> >Cordially yours,   
   >> >   
   >> >Lotfi   
   >> >*******************************************************   
   >>   
   >> It is difficult to comment. So let me give another example:   
   >>   
   >> The house I see from my window is 0.1 tall as Empire State Building,   
   >> 50.0 wide as my car, its color is 200 red and 80 percent covered with   
   >> graffiti by some bastards. Definitely these numbers are not   
   >> probabilities etc.   
      
   --   
   ###############################################################################   
   Dr Phil Diamond pmd@maths.uq.edu.au   
   Department of Mathematics, University of Queensland, Brisbane,AUSTRALIA 4072.   
   Tel +61 7 3365 3253 Fax +61 7 3365 1477   
      
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    * Origin: you cannot sedate... all the things you hate (1:229/2)