acuttfn {genfrn}

Alpha-cut of triangular fuzzy number

Description

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

Usage

acuttfn(left, middle, right, acut.level = seq(0, 1, by = 0.1))

Arguments

left

the left point of triangular fuzzy number

middle

the middle or mode point of triangular fuzzy number

right

the right point of triangular fuzzy number

acut.level

the alpha-cut level of triangular fuzzy number

Value

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

References

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

Examples

acuttfn(1,2,3,acut.level = c(0,0.5,1))
acuttfn(1,2.5,3,acut.level = c(0.00,0.25,0.50,0.75,1.00))