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TOPOLOGICAL STRUCTURES IN COMPLETE CO-RESIDUATED LATTICES
Topological structures in complete co-residuated lattices
한국수학교육학회지시리즈B:순수및응용수학 / 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
(Ingenium College of Liberal Arts-Mathematics, Kwangwoon University)
Kim, Yong Chan (Mathematics Department, Gangneung-Wonju National University)
Kim, Yong Chan (Mathematics Department, Gangneung-Wonju National University)
Kim, Young-Hee,
&
Kim, Yong Chan.
(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
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