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poseticDataAnalysis (version 0.1.1)

Posetic Data Analysis

Description

Build and manipulate partially ordered sets (posets), to perform some data analysis on them and to implement multi-criteria decision making procedures. Several efficient ways for generating linear extensions are implemented, together with functions for building mutual ranking probabilities, incomparability, dominance and separation scores (Fattore, M., De Capitani, L., Avellone, A., Suardi, A. (2024). A fuzzy posetic toolbox for multi-criteria evaluation on ordinal data systems. ANNALS OF OPERATIONS RESEARCH ).

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Version

Install

install.packages('poseticDataAnalysis')

Monthly Downloads

314

Version

0.1.1

License

GPL (>= 2)

Maintainer

Alessandro Avellone

Last Published

October 29th, 2025

Functions in poseticDataAnalysis (0.1.1)

BuildBubleyDyerSeparationGenerator

Generator of an approximated separation matrix.

BubleyDyerSeparationGenerator-class

An S4 class to represent function separation based on the Bubley-Dyer procedure.

Checking whether one element dominates another.

FromPOSet-class

An S4 class to represent a virtual class for POSet extention.

Computing downsets.

ExactEvaluation

Computing function mean values on linear extensions

Computing the cover matrix of a poset.

Dual of a poset.

ExactSeparation

Exact separation matrices computation.

FuzzyInBetweennessProbabilistic

Fuzzy in-betweenness array computation with Product t-norm and Probabilistic-sum t-conorm

Building crowns.

Building fences.

FuzzyInBetweennessMinMax

Fuzzy in-betweenness array computation with minimum t-norm and maximum t-conorm

IsComparableWith

Checking comparability between two elements of a poset.

Checking minimality.

Checking maximality.

IsAntisymmetric

Checking binary relation antisymmetry.

FuzzySeparationProbabilistic

Fuzzy Separation matrix computation with Product t-norm and Probabilistic-sum t-conorm

FuzzyInBetweenness

Fuzzy in-betweenness array computation

Generator of linear extensions through the Bubley-Dyer procedure.

LEGenerator-class

An S4 class to represent the exact linear extension generator.

Checking whether one element is dominated by another.

IncomparabilitySetOf

Extracting the incomparability set of a poset element.

IntersectionPOSet

Computing the intersection of a collection of posets.

ExactMRPGenerator-class

An S4 class to represent the exact MRP generator.

Computing Mutual Ranking Probabilities (MRP).

Checking poset extensions.

Checking for downsets.

Separation matrices computation over the set of lexicographic linear extensions.

IsIncomparableWith

Checking incomparability between two elements of a poset.

MRP matrix computation over the set of lexicographic linear extensions.

Getting poset elements.

Constructing a Linearly Ordered Set.

Linear sum of posets.

Computing the minimal elements of a poset.

FuzzySeparation

Fuzzy separation matrix computation

TransitiveClosure

Computing transitive closure.

Computing join (least upper bound).

OptimalBidimensionalEmbedding

Dimensionality reduction of multidimensional ordinal binary data

LexicographicProductPOSet

Computing lexicographic product orders.

LexicographicProductPOSet-class

An S4 class to represent a Lexicographic Product POSet.

ProductPOSet-class

An S4 class to represent a Product POSet.

Checking upsets.

poseticDataAnalysis-package

poseticDataAnalysis: Posetic Data Analysis

Constructing a Partially Ordered Set.

Checking binary relation transitivity.

An S4 class to represent a POSet.

Extracting the order relation of a poset.

Computing upsets.

Checking binary relation reflexivity.

Checking for partial ordering.

Constructing the product of posets.

FuzzySeparationMinMax

Fuzzy Separation computation with minimum t-norm and maximum t-conorm

Checking binary relation symmetry.

Checking for pre-ordering (or quasi-ordering).

ReflexiveClosure

Computing reflexive closure.

IncomparabilityRelation

Computing the incomparability relation of a poset.

Lifting posets.

LinearPOSet-class

An S4 class to represent a Linear POSet.

Generator of all the linear extensions of a poset.

Generates linear extensions of a given poset, by using a linear extension generator

Computing the maximal elements of a poset.

Computing meet (greatest lower bound).

BubleyDyerEvaluationGenerator-class

An S4 class to represent function evaluation based on the Bubley-Dyer procedure.

BidimentionalPosetRepresentation

Bidimensional representation of multidimensional ordinal binary data generated by a specific reversed pair of lexicographic linear extensions

BubleyDyerEvaluation

Estimating function averages on linear extensions, by the Bubley-Dyer procedure.

BinaryVariablePOSet-class

An S4 class to represent a Binary Variable POSet.

BubleyDyerMRPGenerator-class

An S4 class to represent the MRP generator based on the Bubley-Dyer procedure.

Approximating MRP matrix computation, using the Bubley-Dyer procedure.

BubleyDyerGenerator-class

An S4 class to represent the linear extension generator based on the Bubley-Dyer procedure.

BubleyDyerMRPGenerator

Generator of an approximated MRP matrix.

Computing the BLS dominance matrix of a poset.

BinaryVariablePOSet

Constructing a component-wise poset of binary vectors.

ComparabilitySetOf

Extracting the comparability set of a poset element.

Computing the cover relation of a poset.

DominanceMatrix

Computing the dominance matrix.

DisjointSumPOSet

Disjoint sum of posets.

BubleyDyerSeparation

Approximated separation matrices computation, using the Bubley-Dyer procedure (see Bubley and Dyer, 1999).

BuildBubleyDyerEvaluationGenerator

Generator for the approximated computation of the mean value of functions over linear extensions.