Fuzzy Complete Lattices and Distance Spaces

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Mathematics Department, Gangneung-Wonju National University)
Kim, Yong Chan (Mathematics Department, Gangneung-Wonju National University)

Ko, Jung Mi, & Kim, Yong Chan. (2021). FUZZY COMPLETE LATTICES AND DISTANCE SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 28(4), 267-280, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.4.267

복사

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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논문 상세

Vol.28 No.4

FUZZY COMPLETE LATTICES AND DISTANCE SPACES

Fuzzy Complete Lattices and Distance Spaces

Abstract

한국수학교육학회지시리즈B:순수및응용수학