Metric Relations in the Fuzzy Right Triangle

Author:

Manríquez Ronald1ORCID

Affiliation:

1. Laboratorio de Investigación Lab[e]saM, Departamento de Matemática, Física y Computación, Universidad de Playa Ancha, Valparaíso 2340000, Chile

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.

Funder

Universidad de Playa Ancha de Ciencias de la Educación

UPLA Foundation

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference33 articles.

1. Fuzzy Plane Geometry. 1. Points and Lines;Buckley;Fuzzy Sets Syst.,1997

2. Fuzzy Plane Geometry. 2. Circles and Polygons;Buckley;Fuzzy Sets Syst.,1997

3. On a property of the class of all real algebraic numbers;Cantor;Crelle’S J. Math.,1874

4. Fuzzy Sets;Zadeh;Inf. Control,1965

5. Lee, K. (2005). First Course on Fuzzy Theory and Applications, Advances in Intelligent and Soft Computing; Springer.

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