Geoscience Reference
In-Depth Information
A
B
A
B
(a)
(b)
A
B
B
A
(c)
(d)
FIGURE 12.1
Representation and logical operations for crisp sets. (a) Two circular sets,
A
and
B
, in the
rectangular universe of discourse. (b) The
union
of our two sets. (c) The
intersect
. (d) The
inverse
or
negation
.
(From Fisher, P.F., Fuzzy modelling, in:
GeoComputation
, Openshaw, S. and Abrahart, R., eds., Taylor &
Francis Group, London, U.K., 2000, pp. 161-186.)
1
1
0.8
0.8
0.6
0.6
A
B
A
or
B
0.4
0.4
0.2
0.2
0
0
(a)
(b)
1
0.8
0.6
A
and
B
0.4
0.2
0
(c)
FIGURE 12.2
Representations of crisp sets as cross sections. On the vertical axis, 1 indicates belonging to
the set and 0 not belonging. (a) Sets
A
and
B
. (b) The
union
of sets
A
and
B
. (c) The
intersect
. (From Fisher,
P.F., Fuzzy modelling, in:
GeoComputation
, Openshaw, S. and Abrahart, R., eds., Taylor & Francis Group,
London, U.K., 2000, pp. 161-186.)
