• 한국수학교육학회지시리즈B:순수및응용수학
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• 제27권3호
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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.

• Korean Journal of Mathematics
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• 제28권2호
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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.

• Journal of applied mathematics & informatics
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• 제38권5_6호
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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.