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DISTANCE SPACES, ALEXANDROV PRETOPOLOGIES AND JOIN-MEET OPERATORS

  • KIM, YOUNG-HEE (Ingenium College of Liberal Arts-Mathematics, Kwangwoon University) ;
  • KIM, YONG CHAN (Department of Mathematics, Gangneung-Wonju University) ;
  • CHOI, JONGSUNG (Ingenium College of Liberal Arts-Mathematics, Kwangwoon University)
  • 투고 : 2020.10.25
  • 심사 : 2020.12.29
  • 발행 : 2021.01.30

초록

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 distance spaces, Alexandrov pretopology (precotopology) and join-meet (meet-join) operators in complete co-residuated lattices. We investigate their relations and properties. Moreover, we give their examples.

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