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Fuzzy tangent line to a fuzzy circle

Author

Listed:
  • Ronald Manríquez

    (Departamento de Matemática, Física y Computación, Universidad de Playa Ancha)

  • Cristian Carvajal

    (Departamento de Matemática, Física y Computación, Universidad de Playa Ancha)

  • Eduardo Cabrera

    (Departamento de Matemática, Física y Computación, Universidad de Playa Ancha)

Abstract

In 1965, fuzzy set theory was born, providing a valuable tool to study phenomena where decision-making based on dichotomy is not a simple task. This work is framed in the ideas of fuzzy analytic geometry; more precisely, this paper is devoted to introducing the idea of a fuzzy tangent line to a fuzzy circle in this geometry. For this purpose, three methods are proposed and studied. Moreover, we provide results that establish the conditions for which the proposed methods define the same fuzzy tangent line.

Suggested Citation

  • Ronald Manríquez & Cristian Carvajal & Eduardo Cabrera, 2024. "Fuzzy tangent line to a fuzzy circle," Fuzzy Optimization and Decision Making, Springer, vol. 23(3), pages 337-361, September.
    • Handle: RePEc:spr:fuzodm:v:23:y:2024:i:3:d:10.1007_s10700-024-09424-y
    DOI: 10.1007/s10700-024-09424-y
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