MeasureEuclidean {FuzzyImputationTest} | R Documentation |
Function to calculate the Euclidean distance between two fuzzy numbers.
Description
'MeasureEuclidean' calculates the Euclidean measure between two trapezoidal or triangular fuzzy numbers.
Usage
MeasureEuclidean(value1, value2, trapezoidal = TRUE, ...)
Arguments
value1 |
The first input triangular or trapezoidal fuzzy number. |
value2 |
The second input triangular or trapezoidal fuzzy number. |
trapezoidal |
Logical value depending on the type of input fuzzy values (triangular or trapezoidal ones) |
... |
Additional parameters passed to other functions. |
Details
The procedure calculates the Euclidean measure of the distance between two trapezoidal or triangular fuzzy numbers.
The input values can be given as triangular/trapezoidal fuzzy numbers using the objects defined in FuzzyNumbers
package
or vectors with three (in the case of triangular fuzzy numbers) or four (for trapezoidal fuzzy numbers) values related to
left end of the support, the core (or its interval, respectively), and the right end of the support.
The parameter trapezoidal
is used to indicate if the input values are trapezoidal fuzzy numbers or triangular ones.
Value
The output is given as a numerical value.
See Also
MeasureAHD, MeasureHSD
for other procedures to calculate distance measures.
Examples
# let's define two trapezoidal fuzzy numbers
tpfn1 <- c(1,2,3,4)
tpfn2 <- c(2,6,8,10)
# calculate the distance
MeasureEuclidean(tpfn1,tpfn2)
# now we use objects from the FuzzyNumbers package
# load the necessary library
library(FuzzyNumbers)
tpfn1 <- TrapezoidalFuzzyNumber(1,2,3,4)
tpfn2 <- TrapezoidalFuzzyNumber(2,6,8,10)
MeasureEuclidean(tpfn1,tpfn2)