# Posetic Data Analysis

## Documentation for package ‘poseticDataAnalysis’ version 1.0.0

- DESCRIPTION file.

## Help Pages

poseticDataAnalysis-package | poseticDataAnalysis: Posetic Data Analysis
BidimentionalPosetRepresentation | Bidimensional representation of multidimensional ordinal binary data generated by a specific reversed pair of lexicographic linear extensions
BinaryVariablePOSet | Constructing a component-wise poset of binary vectors.
BinaryVariablePOSet-class | An S4 class to represent a Binary Variable POSet.
BLSDominance | Computing the BLS dominance matrix of a poset.
BubleyDyerEvaluation | Estimating function averages on linear extensions, by the Bubley-Dyer procedure.
BubleyDyerEvaluationGenerator-class | An S4 class to represent function evaluation based on the Bubley-Dyer procedure.
BubleyDyerGenerator-class | An S4 class to represent the linear extension generator based on the Bubley-Dyer procedure.
BubleyDyerMRP | Approximating MRP matrix computation, using the Bubley-Dyer procedure.
BubleyDyerMRPGenerator | Generator of an approximated MRP matrix.
BubleyDyerMRPGenerator-class | An S4 class to represent the MRP generator based on the Bubley-Dyer procedure.
BubleyDyerSeparation | Approximated separation matrices computation, using the Bubley-Dyer procedure (see Bubley and Dyer, 1999).
BubleyDyerSeparationGenerator-class | An S4 class to represent function separation based on the Bubley-Dyer procedure.
BuildBubleyDyerEvaluationGenerator | Generator for the approximated computation of the mean value of functions over linear extensions.
BuildBubleyDyerSeparationGenerator | Generator of an approximated separation matrix.
ComparabilitySetOf | Extracting the comparability set of a poset element.
CoverMatrix | Computing the cover matrix of a poset.
CoverRelation | Computing the cover relation of a poset.
CrownPOSet | Building crowns.
DisjointSumPOSet | Disjoint sum of posets.
DominanceMatrix | Computing the dominance matrix.
Dominates | Checking whether one element dominates another.
DownsetOf | Computing downsets.
DualPOSet | Dual of a poset.
ExactEvaluation | Computing function mean values on linear extensions
ExactMRP | Computing Mutual Ranking Probabilities (MRP).
ExactMRPGenerator-class | An S4 class to represent the exact MRP generator.
ExactSeparation | Exact separation matrices computation.
FencePOSet | Building fences.
FromPOSet-class | An S4 class to represent a virtual class for POSet extention.
FuzzyInBetweenness | Fuzzy in-betweenness array computation
FuzzyInBetweennessMinMax | Fuzzy in-betweenness array computation with minimum t-norm and maximum t-conorm
FuzzyInBetweennessProbabilistic | Fuzzy in-betweenness array computation with Product t-norm and Probabilistic-sum t-conorm
FuzzySeparation | Fuzzy separation matrix computation
FuzzySeparationMinMax | Fuzzy Separation computation with minimum t-norm and maximum t-conorm
FuzzySeparationProbabilistic | Fuzzy Separation matrix computation with Product t-norm and Probabilistic-sum t-conorm
IncomparabilityRelation | Computing the incomparability relation of a poset.
IncomparabilitySetOf | Extracting the incomparability set of a poset element.
IntersectionPOSet | Computing the intersection of a collection of posets.
IsAntisymmetric | Checking binary relation antisymmetry.
IsComparableWith | Checking comparability between two elements of a poset.
IsDominatedBy | Checking whether one element is dominated by another.
IsDownset | Checking for downsets.
IsExtensionOf | Checking poset extensions.
IsIncomparableWith | Checking incomparability between two elements of a poset.
IsMaximal | Checking maximality.
IsMinimal | Checking minimality.
IsPartialOrder | Checking for partial ordering.
IsPreorder | Checking for pre-ordering (or quasi-ordering).
IsReflexive | Checking binary relation reflexivity.
IsSymmetric | Checking binary relation symmetry.
IsTransitive | Checking binary relation transitivity.
IsUpset | Checking upsets.
LEBubleyDyer | Generator of linear extensions through the Bubley-Dyer procedure.
LEGenerator | Generator of all the linear extensions of a poset.
LEGenerator-class | An S4 class to represent the exact linear extension generator.
LEGet | Generates linear extensions of a given poset, by using a linear extension generator
LexicographicProductPOSet | Computing lexicographic product orders.
LexicographicProductPOSet-class | An S4 class to represent a Lexicographic Product POSet.
LexMRP | MRP matrix computation over the set of lexicographic linear extensions.
LexSeparation | Separation matrices computation over the set of lexicographic linear extensions.
LiftingPOSet | Lifting posets.
LinearPOSet | Constructing a Linearly Ordered Set.
LinearPOSet-class | An S4 class to represent a Linear POSet.
LinearSumPOSet | Linear sum of posets.
OptimalBidimensionalEmbedding | Dimensionality reduction of multidimensional ordinal binary data
OrderRelation | Extracting the order relation of a poset.
POSet | Constructing a Partially Ordered Set.
POSet-class | An S4 class to represent a POSet.
POSetElements | Getting poset elements.
poseticDataAnalysis | poseticDataAnalysis: Posetic Data Analysis
POSetJoin | Computing join (least upper bound).
POSetMaximals | Computing the maximal elements of a poset.
POSetMeet | Computing meet (greatest lower bound).
POSetMinimals | Computing the minimal elements of a poset.
ProductPOSet | Constructing the product of posets.
ProductPOSet-class | An S4 class to represent a Product POSet.
ReflexiveClosure | Computing reflexive closure.
TransitiveClosure | Computing transitive closure.
UpsetOf | Computing upsets.