Bel function

Degree of belief of interval for a Gaussian random fuzzy number

Bel computes the degree of belief of an interval [x,y] for a given Gaussian random fuzzy number.

Bel(x, y, GRFN)

Arguments

• x: The lower bound of the interval (may be a vector).
• y: The upper bound of the interval (may be a vector).
• GRFN: A Gaussian random fuzzy number, encoded as a list with components mu, sig and h.

Returns

The degree of belief of the interval.

Examples

bel<-Bel(1,2,list(mu=2,sig=1,h=2))
print(bel)

References

Thierry Denoeux. Reasoning with fuzzy and uncertain evidence using epistemic random fuzzy sets: general framework and practical models. Fuzzy Sets and Systems, Vol. 453, Pages 1-36, 2023.

See Also

Belint, Pl, pl_contour, combination_GRFN