A lattice-ordered monoid on multilayer networks
Joaquin Diaz Boils, Orlando Galdames Bravo
TL;DR
This paper introduces a lattice-ordered monoid structure on multilayer networks, providing a formal mathematical framework to analyze their order and algebraic properties.
Contribution
It defines and studies a lattice-ordered partial monoid on multilayer networks, a novel algebraic structure for this type of network.
Findings
Established the order-preserving mappings for multilayer networks
Defined the lattice-ordered monoid and derived its main properties
Provided a mathematical foundation for multilayer network analysis
Abstract
In the present paper we introduce a lattice-ordered partial monoid structure on a suitable set of multilayer networks. We first study a kind of mappings that preserve the partial order and describe the order structure. After that we define the lattice-ordered monoid and deduce the main properties. lattice-ordered monoid, multilayer network, interior mapping, partial operation.
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Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Rough Sets and Fuzzy Logic