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http://dx.doi.org/10.7468/jksmeb.2021.28.4.267

FUZZY COMPLETE LATTICES AND DISTANCE SPACES  

Ko, Jung Mi (Mathematics Department, Gangneung-Wonju National University)
Kim, Yong Chan (Mathematics Department, Gangneung-Wonju National University)
Publication Information
The Pure and Applied Mathematics / v.28, no.4, 2021 , pp. 267-280 More about this Journal
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;
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