arXiv subjects

Ronald Manríquez

Publications and source records attributed to Ronald Manríquez.

3 recordsLinked to original sources

arXiv2025

A Fuzzy Geometric Study of Equidistant Sets in Fuzzy Metric Space

In this paper, the fuzzy Hausdorff distance is studied, and also the fuzzy equidistant set for two points of a fuzzy metric space is introduced. Here, the fuzzy metric space has been redefined using recently developed fuzzy geometry, and the equidistant sets have been constructed for two different fuzzy points. Different cases for the equidistant sets have been studied, considering two fuzzy points with separate spreads, externally tangent spreads, partially overlapping spreads, internally tangent spreads, fully overlapping spreads, and sets that coincide with the cores of fuzzy points. The proposed construction provides a graded equidistant set that aligns with the classical midset when the metric is precise. Suitable numerical and pictorial examples are given to support the discussions and studies.

math.GM↗

arXiv2022

General Nilpotent and Solvable Approximations of Almost-Riemannian Structures

It is first shown that the nilpotent or the solvable approximation of an almost-Riemannian structure at a singular point is always a linear almost-Riemannian structure on a Lie group or a homogeneous space. The generic properties of almost-Riemannian structures are then investigated in all dimensions and the generic nilpotent and solvable approximations are identified.

math.OC↗

arXiv2021

Diseases on complex networks. Modeling from a database and a protection strategy proposal

Among the diverse and important applications that networks currently have is the modeling of infectious diseases. Immunization, or the process of protecting nodes in the network, plays a key role in stopping diseases from spreading. Hence the importance of having tools or strategies that allow the solving of this challenge. In this work, we evaluate the effectiveness of the DIL-W^α ranking in immunizing nodes in an edge-weighted network. The network is obtained from a real database and the spread of COVID-19 was modeled with the classic SIR model. We apply the protection to the network, according to the importance ranking list produced by DIL-W^α.

q-bio.PE↗