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Metric Relations in the Fuzzy Right Triangle

Author

Listed:
  • Ronald Manríquez

    (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.

Suggested Citation

  • Ronald Manríquez, 2023. "Metric Relations in the Fuzzy Right Triangle," Mathematics, MDPI, vol. 11(19), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4056-:d:1246919
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