Posetic Data Analysis
Bidimensional representation of multidimensional ordinal binary data g...
An S4 class to represent a Binary Variable POSet.
Constructing a component-wise poset of binary vectors.
Computing the BLS dominance matrix of a poset.
Estimating function averages on linear extensions, by the Bubley-Dyer ...
An S4 class to represent function evaluation based on the Bubley-Dyer ...
An S4 class to represent the linear extension generator based on the B...
Approximating MRP matrix computation, using the Bubley-Dyer procedure.
An S4 class to represent the MRP generator based on the Bubley-Dyer pr...
Generator of an approximated MRP matrix.
Approximated separation matrices computation, using the Bubley-Dyer pr...
An S4 class to represent function separation based on the Bubley-Dyer ...
Generator for the approximated computation of the mean value of functi...
Generator of an approximated separation matrix.
Extracting the comparability set of a poset element.
Computing the cover matrix of a poset.
Computing the cover relation of a poset.
Building crowns.
Disjoint sum of posets.
Computing the dominance matrix.
Checking whether one element dominates another.
Computing downsets.
Dual of a poset.
Computing function mean values on linear extensions
Computing Mutual Ranking Probabilities (MRP).
An S4 class to represent the exact MRP generator.
Exact separation matrices computation.
Building fences.
An S4 class to represent a virtual class for POSet extention.
Fuzzy in-betweenness array computation
Fuzzy in-betweenness array computation with minimum t-norm and maximum...
Fuzzy in-betweenness array computation with Product t-norm and Probabi...
Fuzzy separation matrix computation
Fuzzy Separation computation with minimum t-norm and maximum t-conorm
Fuzzy Separation matrix computation with Product t-norm and Probabilis...
Computing the incomparability relation of a poset.
Extracting the incomparability set of a poset element.
Computing the intersection of a collection of posets.
Checking binary relation antisymmetry.
Checking comparability between two elements of a poset.
Checking whether one element is dominated by another.
Checking for downsets.
Checking poset extensions.
Checking incomparability between two elements of a poset.
Checking maximality.
Checking minimality.
Checking for partial ordering.
Checking for pre-ordering (or quasi-ordering).
Checking binary relation reflexivity.
Checking binary relation symmetry.
Checking binary relation transitivity.
Checking upsets.
Generator of linear extensions through the Bubley-Dyer procedure.
An S4 class to represent the exact linear extension generator.
Generator of all the linear extensions of a poset.
Generates linear extensions of a given poset, by using a linear extens...
An S4 class to represent a Lexicographic Product POSet.
Computing lexicographic product orders.
MRP matrix computation over the set of lexicographic linear extensions...
Separation matrices computation over the set of lexicographic linear e...
Lifting posets.
An S4 class to represent a Linear POSet.
Constructing a Linearly Ordered Set.
Linear sum of posets.
Dimensionality reduction of multidimensional ordinal binary data
Extracting the order relation of a poset.
An S4 class to represent a POSet.
Constructing a Partially Ordered Set.
Getting poset elements.
poseticDataAnalysis: Posetic Data Analysis
Computing join (least upper bound).
Computing the maximal elements of a poset.
Computing meet (greatest lower bound).
Computing the minimal elements of a poset.
An S4 class to represent a Product POSet.
Constructing the product of posets.
Computing reflexive closure.
Computing transitive closure.
Computing upsets.
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 <doi:10.1007/s10479-024-06352-3>).