The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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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)
  • Received : 2020.10.28
  • Accepted : 2022.01.09
  • Published : 2022.02.28
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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

Acknowledgement

This work was supported by the Research Institute of Natural Science of Gangneung-Wonju National University.

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