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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