MeasureHSD {FuzzyImputationTest} | R Documentation |
Function to calculate the HSD distance between two fuzzy numbers.
Description
'MeasureHSD' calculates the HSD (Area Hight Distance) measure between two trapezoidal or triangular fuzzy numbers.
Usage
MeasureHSD(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). |
Details
The procedure calculates the HSD (Hight Source Distance) 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.
References
S. Yeganehmanesh, M. Amirfakhrian, and P. Grzegorzewski, “Fuzzy semi-numbers and a distance on them with a case study in medicine,” Mathematical Sciences, vol. 12, no. 1, pp. 41–52, 2018
See Also
MeasureAHD, MeasureEuclidean
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
MeasureHSD(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)
MeasureHSD(tpfn1,tpfn2)