acuttfn: Alpha-cut of triangular fuzzy number

In genfrn: Generating Triangular and Trapezoidal Fuzzy Random Numbers via Uniform Distribution

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))

genfrn documentation built on June 22, 2024, 7:21 p.m.