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http://dx.doi.org/10.7468/jksmeb.2022.29.1.19

TOPOLOGICAL STRUCTURES IN COMPLETE CO-RESIDUATED LATTICES  

Kim, Young-Hee (Ingenium College of Liberal Arts-Mathematics, Kwangwoon University)
Kim, Yong Chan (Mathematics Department, Gangneung-Wonju National University)
Publication Information
The Pure and Applied Mathematics / v.29, no.1, 2022 , pp. 19-29 More about this Journal
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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