Oᵣ-convergence and weak Oᵣ-convergence of nets and their applications

• Li, Hong-Yan ^[1] ; Shi, Fu-Gui ^[2]
  1. [1] Shandong Institute of Business and Technology

     Shandong Institute of Business and Technology

     China

     
  2. [2] Beijing Institute of Technology

     Beijing Institute of Technology

     China

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 27, Nº. 1, 2008, págs. 81-96
• Idioma: inglés
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• Resumen

  • In this paper, the theory of Oᵣ-convergence and weak Oᵣ-convergence of nets is introduced in L-topological spaces by means of neighborhoods and strong neighborhoods of fuzzy points based on Shi’s O-convergence.It can be used to characterize preclosed sets, preopen sets, δ-closed sets, δ-open sets, near compactness and near S∗-compactness.