Zadeh’s extension and dynamical properties with respect to dp metrics

Aguirre De La Luz, Kinrha; Jardón Arcos, Daniel Roberto

doi:10.22111/ijfs.2026.53211.9413

Document Type : Research Paper

Authors

¹ Colegio de Ciencia y Tecnología, Universidad Autónoma de la Ciudad de México, CDMX, México.

² Colegio de Ciencia y Tecnología, Universidad Autónoma de la Ciudad de México

https://doi.org/10.22111/ijfs.2026.53211.9413

Abstract

For a given metric space (X,d) by F(X) we denote the family of all normal fuzzy sets of X, which are upper semicontinuous and have compact support. In this paper, firstly, we prove that, if X is compact and f:X--> X is a continuous function, then its Zadeh's extension f:F(X)-->F(X)$ is continuous with respect to d_p metric. Then we analyze some properties of Zadeh's extension with respect to d_p metrics including positive Lyapunov stability, strong sensitivity and transitivity.

Keywords

Main Subjects

Fuzzy Math

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Zadeh’s extension and dynamical properties with respect to dp metrics

References

References

Volume 23, Issue 4July and August 2026Pages 171-182

Volume 23, Issue 4
July and August 2026
Pages 171-182