The L-lim-inf-convergence in fuzzy posets

Article type: Research Article

Authors: Su, Shuhua^* | Tian, Jianyu | Chen, Huodi

Affiliations: College of Science, East China Institute of Technology, Nanchang, Jiangxi, PR China

Correspondence: [*] Corresponding author. Shuhua Su, College of Science, East China Institute of Technology, Nanchang, Jiangxi 330013, PR China. Tel.: +86 0794 7062506; E-mail: sushuhua913@163.com.

Abstract: In domain theory, the lim-inf-convergence in posets was introduce to characterize continuous posets. In this paper, the concept of the L-lim-inf-convergence of nets (xi) i∈I in fuzzy posets is proposed and its relationship with continuous fuzzy posets is studied. It is shown that for an arbitrary fuzzy poset, the L-lim-inf-convergence is topological if and only if the fuzzy poset is continuous.

Keywords: Fuzzy poset, L-lim-inf-convergence, continuity, topology

DOI: 10.3233/IFS-151649

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 4, pp. 1723-1727, 2015