BC.boundary.reg.RST: Computation of a boundary region
In RoughSets: Data Analysis Using Rough Set and Fuzzy Rough Set Theories

Description Usage Arguments Value Author(s) References See Also Examples

This function implements a fundamental part of RST: computation of a boundary region and the degree of dependency. This function can be used as a basic building block for development of other RST-based methods. A more detailed explanation of this notion can be found in A.Introduction-RoughSets.

1	BC.boundary.reg.RST(decision.table, roughset)

`decision.table`	an object inheriting from the `"DecisionTable"` class, which represents a decision system. See `SF.asDecisionTable`.
`roughset`	an object inheriting from the `"LowerUpperApproximation"` class, which represents lower and upper approximations of decision classes in the data. Such objects are typically produced by calling the `BC.LU.approximation.RST` function.

An object of a class "BoundaryRegion" which is a list with the following components:

boundary.reg: an integer vector containing indices of data instances belonging to the boundary region,
degree.dependency: a numeric value giving the degree of dependency,
type.model: a varacter vector identifying the utilized model. In this case, it is "RST" which means the rough set theory.

Dariusz Jankowski, Andrzej Janusz

Z. Pawlak, "Rough Sets", International Journal of Computer and Information Sciences, vol. 11, no. 5, p. 341 - 356 (1982).

BC.IND.relation.RST, BC.LU.approximation.RST, BC.LU.approximation.FRST

########################################################
data(RoughSetData)
hiring.data <- RoughSetData$hiring.dt

## We select a single attribute for computation of indiscernibility classes:
A <- c(2)

## compute the indiscernibility classes:
IND.A <- BC.IND.relation.RST(hiring.data, feature.set = A)

## compute the lower and upper approximation:
roughset <- BC.LU.approximation.RST(hiring.data, IND.A)

## get the boundary region:
pos.boundary = BC.boundary.reg.RST(hiring.data, roughset)
pos.boundary