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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: [email protected].
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
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