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

ISSN : 3059-0604

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Vol.29 No.1

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Topological structures in complete co-residuated lattices

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2022, v.29 no.1, pp.19-29
https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.19
Kim, Young-Hee
Kim, Yong Chan
Kim,, Y. , & Kim,, Y. C. (2022). Topological structures in complete co-residuated lattices. , 29(1), 19-29, https://doi.org/https://doi.org/10.7468/jksmeb.2022.29.1.19

Abstract

Information systems and decision rules with imprecision and uncertainty in data analysis are studied in complete residuated lattices. In this paper, we introduce the notions of Alexandrov pretopology (precotopology) and join-meet (meet-join) operators in complete co-residuated lattices. Moreover, their properties and examples are investigated.

keywords
complete co-residuated lattice, distance spaces, Alexandrov pretopology (precotopology), join-meet (meet-join) operators

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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