Fuzzy Complete Lattices and Distance Spaces
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.4, pp.267-280
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.267
Ko, Jung Mi
Kim, Yong Chan
Ko,,
J.
M.
, &
Kim,,
Y.
C.
(2021). Fuzzy Complete Lattices and Distance Spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 28(4), 267-280, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.267
Abstract
In this paper, we introduce the notions of fuzzy join (resp. meet) complete lattices and distance spaces in complete co-residuated lattices. Moreover, we investigate the relations between Alexandrov pretopologies (resp. precotopologies) and fuzzy join (resp. meet) complete lattices, respectively. We give their examples.
- keywords
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distance spaces,
Alexandrov pretopologies (resp. precotopologies),
fuzzy join (resp. meet) complete lattices