similarity problem

formato ferrante (formato@bridge.diima.unisa.it)
Tue, 6 Oct 1998 04:31:41 +0200 (MET DST)

I have the following problem, arising from a definition of a similarity
in a data base.
The problem is
Given two flats, x and y, give a similarity relation based on the
distance of x and y from the center of a city/town.
This is not simply a dualisation of a (pseudo)metrics.
I think that I should first quotient the set of flats w.r.t the
equivalence relation defined as follows
xRy if d(x,center)=d(y,center)
Then, I can proceed as usual,.i.e
I give a metrics, I normalize it
w.r.t. the radius (diameter) of a city and then I apply the duality
function which fits the t-norm. (for example, in the case of the
minimum, I take 1-d(x,y).
Is there a better way to solve the problem?
I mean, in therm of indistinguishability operators H...
Ferrante Formato

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