inclusion.rule {eba}

Inclusion Rule

Description

Checks if a family of sets fulfills the inclusion rule.

Usage

inclusion.rule(A)

Arguments

A

a list of vectors consisting of the stimulus aspects of an elimination-by-aspects model

Details

The inclusion rule is necessary and sufficient for a tree structure on the aspect sets:

Structure theorem. A family \{x' | x \in T\} of aspect sets is representable by a tree iff either x' \cap y' \supset x' \cap z' or x' \cap z' \supset x' \cap y' for all x, y, z in T. (Tversky and Sattath, 1979, p. 546)

Value

Either TRUE if the inclusion rule holds for A, or FALSE otherwise.

References

Tversky, A., & Sattath, S. (1979). Preference trees. Psychological Review, 86, 542–573. doi: 10.1037/0033-295X.86.6.542

See Also

eba, trineq, strans.

Examples

A <- list(c(1, 5), c(2, 5), c(3, 6), c(4, 6))  # tree
inclusion.rule(A)

B <- list(c(1, 5), c(2, 5, 6), c(3, 6), c(4, 6))  # lattice
inclusion.rule(B)