genfrn (version 0.1.4)

acuttfn: 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))

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.

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

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))