Package 'FuzzyM'

Title: Fuzzy Cognitive Maps Operations
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.
Authors: Alina Petukhova
Maintainer: Alina Petukhova <[email protected]>
License: MIT + file LICENSE
Version: 0.1.0
Built: 2024-11-10 06:21:56 UTC
Source: CRAN

Help Index

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.