Zadeh’s extension of a strong sensitive semiflow

• Fernández, Manuel ^[1] ; Jardón, Daniel ^[1] ; Sánchez, Iván ^[2]
  1. [1] Universidad Autónoma de la Ciudad de México

     Universidad Autónoma de la Ciudad de México

     México

     
  2. [2] Universidad Autónoma Metropolitana

     Universidad Autónoma Metropolitana

     México

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 26, Nº. 2, 2025, págs. 785-797
• Idioma: inglés
• DOI: 10.4995/agt.2025.23085
• Enlaces
  • Texto completo
• Resumen

  • For a given metric space X, the symbol ℱ(X) denotes the family of all normal upper semicontinuous fuzzy sets on X with compact support. A semiflow is a continuous function f:T×X → X, where T is an abelian topological monoid. We study when f^:T×ℱ(X) → ℱ(X) is strongly sensitive, multi-sensitive or positive Lyapunov stable, where f^ is the Zadeh's extension of the semiflow f and ℱ(X) is endowed with level-wise and Skorokhod metrics.

     

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