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From: spg@uhura.neoucom.edu (Shiva P. Gautam)
Subject: Re: Fuzzy logic compared to probability
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Date: Fri, 1 Mar 1996 15:03:15 GMT
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George Zeliger (ZELIGER.G.197935@asqcnet.org) wrote:
: > For example, every
: >set is subset of itself -we learn early in our courses. But consider a set
: >or collection of lakes. The collection itself is not lake so does not
: >belong to itself? 

: Just a brief comment: you confuse two concepts -- being a subset and 
: being an element, which are very different. 

I realize what I did. I should have been more explicit what I wanted to
say which was sort of my wish list where an element and subset
should have the same characteristics, and thought that fuzzy might do that.
Not only with lakes, a collection of real number is not a number, it is that
elementary. But in the collecton of lakes it was easy to talk about water
and land. Any way I apologize for the blunder and ignoring the note in many
texts 'an element and a singleton set consisting of that element are not
the same'. Thanks to all of those who pointed out this.
Shiva
