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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

FUZZY COMPLETE LATTICES AND DISTANCE SPACES

Fuzzy Complete Lattices and Distance Spaces

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2021, v.28 no.4, pp.267-280
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.267
Ko, Jung Mi (Mathematics Department, Gangneung-Wonju National University)
Kim, Yong Chan (Mathematics Department, Gangneung-Wonju National University)

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

한국수학교육학회지시리즈B:순수및응용수학