| Type: | Package |
| Title: | Fuzzy Cognitive Maps Operations |
| Version: | 0.1.0 |
| Author: | Alina Petukhova |
| Maintainer: | Alina Petukhova <petukhova.alina@gmail.com> |
| Description: | Contains functions for operations with fuzzy cognitive maps using t-norm and s-norm operators. T-norms and S-norms are described by Dov M. Gabbay and George Metcalfe (2007) <doi:10.1007/s00153-007-0047-1>. System indicators are described by Cox, Earl D. (1995) <isbn:1886801010>. Executable examples are provided in the "inst/examples" folder. |
| License: | MIT + file LICENSE |
| Encoding: | UTF-8 |
| RoxygenNote: | 7.1.2 |
| Imports: | utils |
| Suggests: | testthat (≥ 3.0.0) |
| Config/testthat/edition: | 3 |
| NeedsCompilation: | no |
| Packaged: | 2022-02-20 23:15:03 UTC; alina |
| Repository: | CRAN |
| Date/Publication: | 2022-02-22 08:20:08 UTC |
matrix_tranz
Description
The maxtix_tranz set of functions is aimed to calculate dissonance, consonance and influence
Usage
tnorm_functions
snorm_functions
snorm_functions_reverse
tnorm_functions_reverse
positive_matrix_calc(initmatrix)
transitive_closure(
positivematrix,
tnorm,
snorm,
snormMatrix,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm,
gammaSnorm,
piSnorm
)
matrix_transitive_join(matrix, snorm, gammaSnorm, piSnorm)
consonanse_dissonanse(finalmatrix)
cross_consonanse(finalmatrix)
cross_dissonanse(finalmatrix)
cross_positive_influence(finalmatrix)
cross_negative_influence(finalmatrix)
impuls_vector(vector, matrix)
multiply_vector(matrix, vector)
multiply_matrix(
matrix_1,
matrix_2,
tnorm,
snorm,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm,
gammaSnorm,
piSnorm
)
maximum_matrix(matrix_1, matrix_2)
ik_pos_maximum(matrix, initMatrix, ipath, jpath)
ik_neg_maximum(matrix, initMatrix, ipath, jpath)
reverse_task(
df_matrix,
vectorY,
tnorm,
tnorm_reverse,
snorm,
snormMatrix,
snorm_reverse
)
direct_task(df_matrix, vectorX, tnorm, snorm, snormMatrix)
Arguments
initmatrix |
matrix |
positivematrix |
matrix |
tnorm |
function |
snorm |
function |
snormMatrix |
function |
gammaTnormMean |
function |
algaTnorm |
function |
gammaTnorm |
function |
piTnorm |
function |
gammaSnorm |
function |
piSnorm |
function |
matrix |
matrix |
finalmatrix |
matrix |
vector |
matrix |
matrix_1 |
matrix |
matrix_2 |
matrix |
initMatrix |
matrix |
ipath |
vector |
jpath |
vector |
df_matrix |
matrix |
vectorY |
vector |
tnorm_reverse |
function |
snorm_reverse |
function |
vectorX |
vector |
Value
eigen values of initmatrix
positive matrix of initmatrix
transitive closure of positivematrix
aggregation function for transitive closure of matrix
system indicators of finalmatrix
cross consonanse of finalmatrix
cross dissonanse of finalmatrix
cross positive influence of finalmatrix
cross negative influence of finalmatrix
impulse of matrix based on vector
multiplication of matrix and vector
multiplication of matrix_1 and matrix_2
maximum of matrix_1 and matrix_2
ik walk for matrix based on initMatrix with ipath and jpath
ik negative walk for matrix based on initMatrix with ipath and jpath
reverse task solution for df_matrix with vectorY using tnorm, tnorm_reverse, snorm, snormMatrix, snorm_reverse
direct task solution for df_matrix with vectorX using tnorm, snorm, snormMatrix
FCM package with functions for matrix probability calculations
Description
The maxtix_tranz_probability set of functions is aimed to calculate maximum matrix based on transitive closure
Usage
multiply_matrix_prob(matrix_1, matrix_2)
transitive_closure_prob(positivematrix)
transitive_closure_prob_max(positivematrix)
probability_matrix_transitive(maxmatrix)
Arguments
matrix_1 |
matrix |
matrix_2 |
matrix |
positivematrix |
matrix |
maxmatrix |
matrix |
Value
multiplication of matrix matrix_1 and matrix_2
transitive closure of matrix positivematrix
transitive closure of matrix positivematrix with max function
joined transitive closure of matrix maxmatrix
FCM package with functions for matrix manipulations
Description
polinomial_eq_dominant set contains 1 function: reverse task calculation. Each function takes a matrix, vector and t-norm as arguments and returns a solution matrix. The calculation procedure of the function includes a solution existence check and a solution check.
Usage
calc_reverse_task(matrix, vector, tnorm, tnorm_reverse, snorm, snorm_reverse)
Arguments
matrix |
matrix |
vector |
vector |
tnorm |
function |
tnorm_reverse |
function |
snorm |
function |
snorm_reverse |
function |
Value
solution of polynomial equation of matrix matrix, vector using tnorm, tnorm_reverse, snorm, snorm_reverse
s_norm
Description
s_norm set of functions is aimed to calculate drastic, einstein, algebraic, hamacher products, min and bounded difference S-norms
Usage
drastic_sum_snorm(element1, element2, gammaSnorm, piSnorm)
bounded_sum_snorm(element1, element2, gammaSnorm, piSnorm)
einstein_sum_snorm(element1, element2, gammaSnorm, piSnorm)
algebraic_sum_snorm(element1, element2, gammaSnorm, piSnorm)
hamacher_sum_snorm(element1, element2, gammaSnorm, piSnorm)
max_snorm(element1, element2, gammaSnorm, piSnorm)
hamacher_union_operator_snorm(element1, element2, gammaSnorm, piSnorm)
yager_union_operator_snorm(element1, element2, gammaSnorm, piSnorm)
snorm_functions
get_snorm(typeSnorm)
Arguments
element1, element2 |
paramater |
gammaSnorm, piSnorm, typeSnorm |
norm |
Format
An object of class list of length 8.
FCM package with functions for reverse S-norms calculations
Description
s_norm_reverse set of functions is aimed to calculate drastic, einstein, algebraic, hamacher products, min and bounded difference reverse S-norms
Usage
drastic_sum_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
bounded_sum_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
einstein_sum_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
algebraic_sum_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
hamacher_sum_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
max_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
hamacher_union_operator_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
yager_union_operator_snorm_reverse(element1, element2, gammaSnorm, piSnorm)
snorm_functions_reverse
get_snorm_reverse(typeSnorm)
Arguments
element1, element2 |
paramater |
gammaSnorm, piSnorm, typeSnorm |
norm |
Format
An object of class list of length 8.
t_norm
Description
t_norm set of functions is aimed to calculate drastic, einstein, algebraic, hamacher products, min and bounded difference T-norms
Usage
min_tnorm(element1, element2, gammaTnormMean, algaTnorm, gammaTnorm, piTnorm)
hamacher_product_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
algebraic_product_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
einstein_product_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
bounded_difference_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
drastic_product_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
parameterized_mean_intersection_operator_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
dubois_intersection_operator_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
hamacher_intersection_operator_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
yager_intersection_operator_tnorm(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
tnorm_functions
get_tnorm(typeTnorm)
Arguments
element1, element2 |
paramater |
gammaTnormMean, algaTnorm, gammaTnorm, piTnorm, typeTnorm |
norm |
Format
An object of class list of length 10.
t_norm_reverse
Description
t_norm_reverse set of functions is aimed to calculate drastic, einstein, algebraic, hamacher products, min and bounded difference reverse T-norms
Usage
min_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
hamacher_product_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
algebraic_product_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
einstein_product_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
bounded_difference_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
drastic_product_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
parameterized_mean_intersection_operator_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
dubois_intersection_operator_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
hamacher_intersection_operator_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
yager_intersection_operator_tnorm_reverse(
element1,
element2,
gammaTnormMean,
algaTnorm,
gammaTnorm,
piTnorm
)
tnorm_functions_reverse
get_tnorm_reverse(typeTnorm)
Arguments
element1, element2 |
paramater |
gammaTnormMean, algaTnorm, gammaTnorm, piTnorm, typeTnorm |
norm |
Format
An object of class list of length 10.