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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

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
distance spaces, Alexandrov pretopologies (resp. precotopologies), fuzzy join (resp. meet) complete lattices

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics