simWWLWW1 {ipsfs}

SFS similarity measure simWWLWW1

Description

SFS similarity measure values using simWWLWW1 computation technique with membership,non-membership, and indeterminacy membership values of two objects or set of objects.

Usage

simWWLWW1(ma, na, mb, nb, ia, ib, k)

Arguments

ma

SFS membership values for the data set x computed using either triangular or trapezoidal or guassian membership function

na

SFS non-membership values for the data set x computed using either Sugeno and Terano's or Yager's non-membership function

mb

SFS membership values for the data set y computed using either triangular or trapezoidal or guassian membership function

nb

SFS non-membership values for the data set y computed using either Sugeno and Terano's or Yager's non-membership function

ia

SFS indeterminacy membership values for the data set x

ib

SFS indeterminacy membership values for the data set y

k

A constant value, considered as 1

Value

The SFS similarity values of data set y with data set x

References

G. Wei, J. Wang, M. Lu, J. Wu, and C. Wei. Similarity measures of spherical fuzzy sets based on cosine function and their applications. IEEE Access, 7:159069 - 159080, 2019.

Examples

x<-matrix(c(12,9,14,11,21,16,15,24,20,17,14,11),nrow=4)
y<-matrix(c(11,21,6),nrow=1)
a<-mn(x)
b<-std(x)
a1<-mn(y)
b1<-std(y)
lam<-0.5
ma<-memG(a,b,x)
na<-nonmemS(ma,lam)
ia<-imemSFS(ma,na)
mb<-memG(a1,b1,y)
nb<-nonmemS(mb,lam)
ib<-imemSFS(mb,nb)
k<-1
simWWLWW1(ma,na,mb,nb,ia,ib,k)
#[1] 0.9357619 0.9339882 0.9953291 0.9953291