Metric Relations in the Fuzzy Right Triangle

Ronald Manríquez ()
Additional contact information
Ronald Manríquez: Laboratorio de Investigación Lab[e]saM, Departamento de Matemática, Física y Computación, Universidad de Playa Ancha, Valparaíso 2340000, Chile

Mathematics, 2023, vol. 11, issue 19, 1-16

Abstract: The study of fuzzy geometry and its different components has grown in recent years, establishing the formal foundations for its development. This paper is devoted to addressing some metric relations in the fuzzy right triangle; in particular, a version of the Pythagorean theorem and geometric mean theorem are provided in analytical fuzzy geometry. The main results show, under certain conditions of the fuzzy vertices, a subset relation between the fuzzy distances associated with the fuzzy right triangle, which is very similar to the classical statements of the Pythagorean theorem and the geometric mean in Euclidean geometry.

Keywords: fuzzy set; fuzzy geometry; metric relations; Pythagorean theorem; geometric mean theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/19/4056/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/19/4056/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:19:p:4056-:d:1246919

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().