mintermMatrix: Create Minterm Matrices

In QCApro: Advanced Functionality for Performing and Evaluating Qualitative Comparative Analysis

Description

This function creates minterm and implicant matrices. It is mainly used for internal and demonstration purposes.

Usage

mintermMatrix(noflevels, logical = FALSE)

Arguments

noflevels	The number of levels for each exogenous factor.
logical	Logical, return the matrix in logical values (only bivalent data).

Details

Minterm matrices contain all unique and complete conjunctions that can be formed from all levels of k factors (Dusa and Thiem 2015). The total number of minterms d is given by d = ∏_{j = 1}^{k}{p_{j}}, where p_{j} is the number of levels for exogenous factor j and k is the total number of exogenous factors. A minterm matrix is an essential part of a truth table.

Contributors

Dusa, Adrian	: development, programming
Thiem, Alrik	: development, documentation, testing

Author(s)

Alrik Thiem (Personal Website; ResearchGate Website)

References

Dusa, Adrian, and Alrik Thiem. 2015. “Enhancing the Minimization of Boolean and Multivalue Output Functions with eQMC.” Journal of Mathematical Sociology 39 (2):92-108. DOI: 10.1080/0022250X.2014.897949.

See Also

implicantMatrix, truthTable

Examples

# a minterm matrix with three bivalent exogenous factors
noflevels <- rep(2, 3)
mintermMatrix(noflevels)

# with logical values
mintermMatrix(noflevels, logical = TRUE)

Example output

Please cite the 'QCApro' package as follows:

  Thiem, Alrik. 2018. QCApro: Advanced Functionality for Performing and
  Evaluating Qualitative Comparative Analysis. R Package Version 1.1-2.
  URL: http://www.alrik-thiem.net/software/.

A BibTeX entry can be generated by:

  citation(package = "QCApro")

All internal package updates can be browsed by:

  news(package = "QCApro")

NOTE: You should work with only either QCApro or QCA within the same R session.

     [,1] [,2] [,3]
[1,]    0    0    0
[2,]    0    0    1
[3,]    0    1    0
[4,]    0    1    1
[5,]    1    0    0
[6,]    1    0    1
[7,]    1    1    0
[8,]    1    1    1
      [,1]  [,2]  [,3]
[1,] FALSE FALSE FALSE
[2,] FALSE FALSE  TRUE
[3,] FALSE  TRUE FALSE
[4,] FALSE  TRUE  TRUE
[5,]  TRUE FALSE FALSE
[6,]  TRUE FALSE  TRUE
[7,]  TRUE  TRUE FALSE
[8,]  TRUE  TRUE  TRUE

QCApro documentation built on May 1, 2019, 10:09 p.m.