fuzzness vs. similarity

ferrante formato (formato@bridge.diima.unisa.it)
Mon, 3 Aug 1998 20:51:31 +0200 (MET DST)

I 'm investigating on the following, intriguing subject:

Is similarity as powerful as fuzzyness?
I.e.

Given ANY fuzzy subset \mu, does there exists a similarity R and a set
of prototypes F such that

mu(x) = Sup_{y \in F}} R(x,y)

?
This is a question whose converse has been solved by L. Valverde
in his paper "F.Indistinguishability operators" (Fss, 17(1985))
What about the contrary?


-- 
Ferrante Formato
Dipartimento di Ingegneria dell'Informazione e 
Matematica Applicata
Soft Computing Lab
Universita' di Salerno
Phone : +39.89.965269
Fax   : +39.89.964191
e-mail formato@udsab.dia.unisa.it

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