quetzal::polymorphism::fuzzy_transfer_distance::FuzzyPartition< Element > Class Template Reference

#include <quetzal/polymorphism/fuzzy_transfer_distance/FuzzyPartition.hpp>

Detailed Description

template<typename Element>
class quetzal::polymorphism::fuzzy_transfer_distance::FuzzyPartition< Element >

Clusters are implicitly defined because of cluster merging (what would make unique IDs complicated to use)

Template class usefull for formalizing that elements of a set can simultaneously belong to various clusters.

Fuzzy partition are objects of interest when one wants to represent the fact that an element of a set can belong to several clusters. This can be represented by a matrix M(i,j), with clusters in line and elements in column, where the general term mu(i,j) represent the coefficient of membership of an element to a cluster. Coefficients memberships summed on all clusters are equal to 1.

Warning

In the present implementation, Clusters IDs are not memorized, because it would complicate fuzzy partition operations as merging clusters. So clusters are stored in the order given by their identifiers at construction, but the IDs themselves are not stored.

Template Parameters

Elements

Elements identifiers.

Public Types
using	element_type = Element
using	cluster_type = unsigned int

Public Member Functions
	FuzzyPartition (std::map< element_type, std::vector< double > > const &coefficients)
	Construct the fuzz partition with given coefficients.
const std::set< element_type > &	elements () const
	Return the elements of the fuzzy partition.
const std::set< cluster_type > &	clusters () const
	Return the clusters indices.
size_t	nElements () const
	Returns the number of elements (columns) of the fuzzy partition (matrix)
size_t	nClusters () const
	Returns the number of clusters (lines) of the fuzzy partition (matrix)
double	fuzzy_transfer_distance (FuzzyPartition const &other) const
	Compute the fuzzy transfer distance between two fuzzy partition.
FuzzyPartition &	merge_clusters (RestrictedGrowthString const &rgs)
	Modifies the object, merging clusters (summing lines) according to a restricted growth string object.
bool	operator== (FuzzyPartition< element_type > const &other) const
	Comparison operator, returning true if two partitions have equal elements set and membership coefficent, else returns false.

Friends
std::ostream &	operator<< (std::ostream &, FuzzyPartition< element_type > const &)

Constructor & Destructor Documentation

FuzzyPartition()

template<typename Element >

quetzal::polymorphism::fuzzy_transfer_distance::FuzzyPartition< Element >::FuzzyPartition ( std::map< element_type, std::vector< double > > const &  coefficients )

inline

Construct the fuzz partition with given coefficients.

Warning

All vector have to be of same size.

The vectors index gives the cluster index.

Member Function Documentation

fuzzy_transfer_distance()

template<typename Element >

double quetzal::polymorphism::fuzzy_transfer_distance::FuzzyPartition< Element >::fuzzy_transfer_distance ( FuzzyPartition< Element > const &  other ) const

inline

Compute the fuzzy transfer distance between two fuzzy partition.

Partitons must have same elements number, but number of clusters can differe.

merge_clusters()

template<typename Element >

FuzzyPartition & quetzal::polymorphism::fuzzy_transfer_distance::FuzzyPartition< Element >::merge_clusters ( RestrictedGrowthString const &  rgs )

inline

Modifies the object, merging clusters (summing lines) according to a restricted growth string object.

size1 = nbr of rows

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The documentation for this class was generated from the following file:

• /home/runner/work/quetzal-CoaTL/quetzal-CoaTL/src/include/quetzal/polymorphism/fuzzy_transfer_distance/FuzzyPartition.hpp