defuzziffy {FuzzyAHP}

Function to defuzzify fuzzy data

Description

This function defuzzifies FuzzyData into single value. The FuzzyData can only contain one fuzzy number, otherwise the defuzzification is not possible.

Usage

defuzziffy(fuzzyData, type = "mean")

## S4 method for signature 'FuzzyData'
defuzziffy(fuzzyData, type = "mean")

Arguments

fuzzyData

A FuzzyData

type

A "character" representing type of defuzzification. Currently implemented methods are "Yager", "modalValue", "modalValueDominancy", "mean". The default value is "mean".

Details

The triangular fuzzy numbers \tilde{A} represented as triplet [a1,a2,a3] are defuzzified using these methods: "Yager":

def (\tilde{A}) = \frac{(a2-a1)(a1+2/3(a2-a1)+(a3-a2)(a2+1/3(a3-a2))}{(a2-a1)+(a3-a2))}

"modalvalue":

def (\tilde{A}) = a2

"modalValueDominancy":

def(\tilde{A}) = (a1 + 4*a2 + a3)/6

"mean":

def(\tilde{A}) = (a1 + a2 + a3)/3

.

Value

A numeric value of defuzzified value, based on deffuzification method.