"Most appropriate terms"

Markus Beckmann (beckmann@Informatik.Mathematik.Uni-Mainz.DE)
17 May 1995 06:42:34 GMT

Let us say that we have a linguistic variable (x,T,U,G,M)
where x is the name "temperature", T is the set of terms
{cold, warm, hot}, U is the universe for the base variable
[-30°C,50°C] and G and M are a syntactic rule and the
semantic rule, respectively:

1+--------- ------- -------------
| \ / \ /
| \ / X
| X / \
| / \ / \
0+-----------+----------+--------------
-30° 10° 25°

We might say that for a temperature of u=23° we have

cold(u) = 0.0
warm(u) = 0.75
hot(u) = 0.25 (or something like that) .

Now one might ask: "What is the term most appropriate for
u=23°? Can we call ist 'hot' or 'cold'?"

My question is are there any (fuzzy) strategies for
assigning such terms to objects in the universe?

We might say that a term t is most appropriate for an
object u iff

t(u) = max_{t \in T} t(u)

but that lead to a "crisp" relation like

"u is called 'cold'" if u \in [-30°,10°]
"u is called 'warm'" if u \in [10°,25°]
"u is called 'hot'" if u \in [25°,50°] .

Any suggestions?

Markus

+=========================================================+
: Markus A. Beckmann ! :
: Johannes Gutenberg-Universitaet ! Tel.: 06131/39-4358 :
: Institut fuer Informatik ! Fax : 06131/39-3534 :
: Postfach 39 80 ! i.-nat.: ++49 6131/ :
: D-55099 Mainz ! :
+---------------------------------------------------------+
: e-mail: beckmann@informatik.mathematik.uni-mainz.de :
+=========================================================+

------------------------------