Academic Journal
Marks: A New Interval Tool for Uncertainty, Vagueness and Indiscernibility
| Title: | Marks: A New Interval Tool for Uncertainty, Vagueness and Indiscernibility |
|---|---|
| Authors: | Sainz, Miguel Ángel, Calm i Puig, Remei, Jorba, Lambert, Contreras, Ivan, Vehí, Josep |
| Contributors: | Agencia Estatal de Investigación |
| Superior Title: | Mathematics, 2021, vol. 9, p. 17, p. 2116 ; Articles publicats (D-IMA) |
| Publisher Information: | MDPI (Multidisciplinary Digital Publishing Institute) |
| Publication Year: | 2021 |
| Collection: | Universitat de Girona: DUGiDocs (UdG Digital Repository) |
| Subject Terms: | Anàlisi d'intervals (Matemàtica), Interval analysis (Mathematics), Incertesa -- Models matemàtics, Uncertainty -- Mathematical models |
| Description: | The system of marks created by Dr. Ernest Gardenyes and Dr. Lambert Jorba was first published as a doctoral thesis in 2003 and then as a chapter in the book Modal Interval Analysis in 2014. Marks are presented as a tool to deal with uncertainties in physical quantities from measurements or calculations. When working with iterative processes, the slow convergence or the high number of simulation steps means that measurement errors and successive calculation errors can lead to a lack of significance in the results. In the system of marks, the validity of any computation results is explicit in their calculation. Thus, the mark acts as a safeguard, warning of such situations. Despite the obvious contribution that marks can make in the simulation, identification, and control of dynamical systems, some improvements are necessary for their practical application. This paper aims to present these improvements. In particular, a new, more efficient characterization of the difference operator and a new implementation of the marks library is presented. Examples in dynamical systems simulation, fault detection and control are also included to exemplify the practical use of the marks ; This work was partially supported by the Spanish Ministry of Science and Innovation through grant PID2019-107722RB-C22/AEI/10.13039/ 501100011033 and the Government of Catalonia under 2017SGR1551 |
| Document Type: | article in journal/newspaper |
| File Description: | application/pdf |
| Language: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/eissn/2227-7390; PID2019-107722RB-C22; info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-107722RB-C22/ES/PATIENT-TAILORED SOLUTIONS FOR BLOOD GLUCOSE CONTROL IN TYPE 1 DIABETES/; http://hdl.handle.net/10256/19921 |
| Availability: | https://doi.org/10.3390/math9172116 http://hdl.handle.net/10256/19921 |
| Rights: | Attribution 4.0 International ; http://creativecommons.org/licenses/by/4.0/ ; info:eu-repo/semantics/openAccess |
| Accession Number: | edsbas.6306ED07 |
| Database: | BASE |
| Description not available. |