acuttrfn {genfrn}

Alpha-cut of trapezoidal fuzzy number

Description

This function for calculating alpha-cut of trapezoidal fuzzy number. See detail in references.

Usage

acuttrfn(left, lmid, rmid, right, acut.level = seq(0, 1, by = 0.1))

Arguments

left

the left point of trapezoidal fuzzy number

lmid

the left-middle point of trapezoidal fuzzy number

rmid

the right-middle point of trapezoidal fuzzy number

right

the right point of trapezoidal fuzzy number

acut.level

the alpha-cut level of trapezoidal fuzzy number

Value

AL is alpha-cut level, XL.AL is a lower alpha-cut point of trapezoidal fuzzy number, and XU.AL is a upper alpha-cut point of trapezoidal fuzzy number.

References

Klir, G.J., Yuan, B., & H., S.C.U. (1997). Fuzzy set theory: Foundations and applications. Prentice Hall PTR.

Examples

acuttrfn(1,2,3,5,acut.level = c(0,0.5,1))
acuttrfn(1,2.5,3.5,6,acut.level = c(0.00,0.25,0.50,0.75,1.00))