Fuzzy tangent line to a fuzzy circle

Ronald Manríquez (), Cristian Carvajal () and Eduardo Cabrera ()
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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

Fuzzy Optimization and Decision Making, 2024, vol. 23, issue 3, No 2, 337-361

Abstract: 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.

Keywords: Fuzzy set; Fuzzy geometry; Tangent line; Fuzzy circle; 94D05; 03E72 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10700-024-09424-y

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