Modified Top-convergence spaces and their relationships to lattice-valued convergence spaces

Article type: Research Article

Authors: Jin, Qiu | Li, Lingqiang^{; *}

Affiliations: Department of Mathematics, Liaocheng University, Liaocheng, P.R. China

Correspondence: [*] Corresponding author. Lingqiang Li, Department of Mathematics, Liaocheng University, Liaocheng 252059, P.R. China. E-mail: lilingqiang@lcu.edu.cn.

Abstract: In this paper, a notion of modified ⊤-convergence spaces (initially defined by Fang and Yue in FSS, 2017) is given. Then the relationships between the modified ⊤-convergence spaces and types of lattice-valued convergence spaces are established.

Keywords: Fuzzy topology, fuzzy convergence spaces, Lattice-valued convergence spaces, ⊤-filters, stratified L-filters

DOI: 10.3233/JIFS-18241

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 2, pp. 2537-2546, 2018