LinearPOSet

Constructs a linearly (or completely, or totally) ordered set (V,\(\leq_{lin})\), starting from set \(V\),

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>).

Alessandro Avellone

poseticDataAnalysis

Posetic Data Analysis

Lucio De Capitani

Marco Fattore

LinearPOSet function

<dl><dt>elements</dt>
<dd>A character string vector containing the labels of the elements of \(V\) in ascending
order according to \(\leq_{lin}\), i.e. such that <code>elements[h]</code>\( \leq_{lin} \)<code>elements[k]</code>if and only if <code>h</code> \( \leq \) <code>k</code></dd></dl>

Arguments

Constructing a Linearly Ordered Set. — LinearPOSet

<dl>

<dt>elements</dt>
<dd>A character string vector containing the labels of the elements of \(V\) in ascending
order according to \(\leq_{lin}\), i.e. such that <code>elements[h]</code>\( \leq_{lin} \)<code>elements[k]</code>if and only if <code>h</code> \( \leq \) <code>k</code></dd>

</dl>

LinearPOSet: Constructing a Linearly Ordered Set.

Description

Usage

Value

Arguments

Examples