• Title/Summary/Keyword: Non-symmetric pseudo-metrics

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ALEXANDROV TOPOLOGIES AND NON-SYMMETRIC PSEUDO-METRICS

  • Oh, Ju-mok;Kim, Yong Chan
    • The Pure and Applied Mathematics
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    • v.27 no.3
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    • pp.125-135
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    • 2020
  • In this paper, we investigate the properties of Alexandrov topologies, non-symmetric pseudo-metrics and lower approximation operators on [0, ∞]. Moreover, we investigate the relations among Alexandrov topologies, non-symmetric pseudo-metrics and lower approximation operators. We give their examples.

THE PROPERTIES OF RESIDUATED CONNECTIONS AND ALEXANDROV TOPOLOGIES

  • Oh, Ju-Mok;Kim, Yong Chan
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.311-321
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    • 2020
  • In this paper, we investigate the properties of residuated connections and Alexandrov topologies based on [0, ∞]. Under various relations, we investigate the residuated and dual residuated connections on Alexandrov toplogies. Moreover, we study their properties and give their examples.

RESIDUATED CONNECTIONS INDUCED BY RESIDUATED FRAMES

  • KO, JUNG MI;KIM, YONG CHAN
    • Journal of applied mathematics & informatics
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    • v.38 no.5_6
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    • pp.547-557
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    • 2020
  • In this paper, we introduce the notions of (dual) residuated frames for a fuzzy logic as an extension of residuated frames for classical relational semantics. We investigate the relations between residuated connections and residuated frames on Alexandrov topologies based on [0, ∞]. Moreover, we study their properties and give their examples.