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poseticDataAnalysis (version 1.0.0)

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

173

Version

1.0.0

License

GPL (>= 2)

Maintainer

Alessandro Avellone

Last Published

December 10th, 2025

Functions in poseticDataAnalysis (1.0.0)

ExactEvaluation

Computing function mean values on linear extensions

Checking whether one element dominates another.

Building crowns.

ExactMRPGenerator-class

An S4 class to represent the exact MRP generator.

ExactSeparation

Exact separation matrices computation.

Computing Mutual Ranking Probabilities (MRP).

Building fences.

FromPOSet-class

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

Dual of a poset.

Computing downsets.

Computing the cover relation of a poset.

FuzzyInBetweenness

Fuzzy in-betweenness array computation

FuzzySeparationProbabilistic

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

IsComparableWith

Checking comparability between two elements of a poset.

IsAntisymmetric

Checking binary relation antisymmetry.

FuzzySeparationMinMax

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

FuzzyInBetweennessMinMax

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

IncomparabilitySetOf

Extracting the incomparability set of a poset element.

IntersectionPOSet

Computing the intersection of a collection of posets.

FuzzySeparation

Fuzzy separation matrix computation

IncomparabilityRelation

Computing the incomparability relation of a poset.

FuzzyInBetweennessProbabilistic

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

Checking poset extensions.

IsIncomparableWith

Checking incomparability between two elements of a poset.

Checking maximality.

Checking minimality.

Checking binary relation reflexivity.

Checking binary relation symmetry.

Checking whether one element is dominated by another.

Checking for downsets.

LexicographicProductPOSet

Computing lexicographic product orders.

LexicographicProductPOSet-class

An S4 class to represent a Lexicographic Product POSet.

MRP matrix computation over the set of lexicographic linear extensions.

Separation matrices computation over the set of lexicographic linear extensions.

LEGenerator-class

An S4 class to represent the exact linear extension generator.

OptimalBidimensionalEmbedding

Dimensionality reduction of multidimensional ordinal binary data

An S4 class to represent a POSet.

Linear sum of posets.

Lifting posets.

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

Generator of all the linear extensions of a poset.

Generator of linear extensions through the Bubley-Dyer procedure.

Constructing a Linearly Ordered Set.

LinearPOSet-class

An S4 class to represent a Linear POSet.

Checking binary relation transitivity.

Checking for partial ordering.

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

Checking upsets.

Constructing a Partially Ordered Set.

Computing join (least upper bound).

Getting poset elements.

ReflexiveClosure

Computing reflexive closure.

Computing the minimal elements of a poset.

Constructing the product of posets.

poseticDataAnalysis-package

poseticDataAnalysis: Posetic Data Analysis

Extracting the order relation of a poset.

ProductPOSet-class

An S4 class to represent a Product POSet.

Computing the maximal elements of a poset.

TransitiveClosure

Computing transitive closure.

Computing upsets.

Computing meet (greatest lower bound).

BubleyDyerGenerator-class

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

BubleyDyerEvaluationGenerator-class

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

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.

BidimentionalPosetRepresentation

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

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

Computing the BLS dominance matrix of a poset.

BinaryVariablePOSet

Constructing a component-wise poset of binary vectors.

BubleyDyerMRPGenerator

Generator of an approximated MRP matrix.

BubleyDyerSeparationGenerator-class

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

BubleyDyerSeparation

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

DisjointSumPOSet

Disjoint sum of posets.

ComparabilitySetOf

Extracting the comparability set of a poset element.

Computing the cover matrix of a poset.

BuildBubleyDyerEvaluationGenerator

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

DominanceMatrix

Computing the dominance matrix.

BuildBubleyDyerSeparationGenerator

Generator of an approximated separation matrix.