uality 
Such a 
xploit 
11255 
ass is 
ooting 
. Thus 
the 
then 
razing 
If the 
, then 
razing 
of Set 
texts 
HNSON, 
had a 
E 98% 
on by 
ertain 
ficant 
rmally 
ement; 
bution 
the 
error 
of x. 
hows a 
rement 
andard 
this 
of the 
ow the 
sS is 
) f the 
FIGURE 
pility 
oth is 
-2.00m 
red by 
cabase 
is an 
1 have 
itable 
| Set 
leory, 
which 
ı some 
other 
rtise 
.ainty 
‘man’s 
ities 
ainty 
1.65 
Thus, the Certainty Factor of the soil polygon 
being Grazing Suitability 1 = 0.65 
This suitability application is a problem of Fuzzy 
Sub-Set Theory Disjunction, more fully described 
in [KAUFMANN, 1975]. 
3. EXPLORATION OF PROPOSAL THROUGH 
A PRACTICAL EXAMPLE 
Proposals presented above were explored in a Dutch 
Land Consolidation project already nearing 
completion. In the Netherlands land consolidation 
or reallocation is performed when agricultural 
land holdings in an area have become highly 
partitioned as a result of inheritance. The 
holdings are consolidated, with the owner being 
guaranteed a holding of the same value (+/- a 
certain small percentage). The determination of a 
holding’s value involves several sub-models, 
including one which determines the holding’s 
suitability for grazing. This grazing suitability 
model is considered here. 
3.1 Grazing Suitability Model 
The model uses three sets of information [RAMLAL, 
1991] to provide Grazing Suitability (3 classes). 
The three sets are: 
1. soil drainage status (5 classes); 
2. soil moisture supply capacity (5 classes); 
and, 
3. topsoil bearing capacity (3 classes), 
The model is logical and is shown in tabular form: 
  
Drainage 
Status 1 2 3 4 5 
Bearing 
Capacity 12 1.2 12 123123 
Moisture 
Supply 
Capacity 1 11 14 11 123123 
2.1 1.1 11111 123: 2 3 
3 1 2-2 [2 2 4 2 2 | 2 2 3 | 3 3 
4 | 3.3 33 | 3 3 |} 333 | 3 3 
51 33.433 5334333433 
  
  
  
  
  
  
  
  
Its use is shown in the following examples: 
if drainage status is 1,2 or 3 and moisture 
capacity is 1 or 2 then the grazing suitability is 
1 
if drainage status is 4 and bearing capacity is 2 
and moisture capacity is 1 or 2 then the grazing 
suitability is 2 
if drainage status is 5 and bearing capacity is 2 
and moisture capacity is 3 then the grazing 
suitability is 3 
if moisture capacity is 4 or 5 then the grazing 
suitability is 3 
etc. 
  
  
    
   
   
   
  
     
— ———M 
pec 3 
C 
ON 
= 
  
34.1% 
NORMAL (GAUSSIAN) DISTRIBUTION 
OF ROOTING DEPTH MEASUREMENT 
ERROR - where the mean of depth 
measurements is 1.80m and the 
Standard Deviation is O.lO0m 
[15v 
> 
  
> 
  
  
-4 SD —-3 SD -2 SD -1 SD X 1 SD 2 SD 3 SD 4 SD 
| .50m 1 .60m 1.70m 1.80m 1.90m 2.00m 2.10m ROOTING 
DEPTH 
VALUES 
  
Figure 1 - A normal distribution of rooting depth 
measurement error. 
  
359