Korean J. Math. Vol. 29 No. 1 (2021) pp.81-89
DOI: https://doi.org/10.11568/kjm.2021.29.1.81

Approximation operators and fuzzy rough sets in co-residuated lattices

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Published: Mar 30, 2021
Keywords:
Distance functions, co-residuated lattices, Alexandrov topologies, approximate operators
Mathematics Subject Classification:
03E72, 03G10, 06A15

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Ju-Mok Oh
Department of Mathematics, Gangneung-Wonju National, Gangneung 25457, Korea
Yong Chan Kim
Department of Mathematics, Gangneung-Wonju National, Gangneung 25457, Korea

Abstract

In this paper, we introduce the notions of a distance function, Alexandrov topology and $\ominus$-upper ($\oplus$-lower) approximation operator based on complete co-residuated lattices. Under various relations, we define $(\oplus, \ominus)$-fuzzy rough set on complete co-residuated lattices. Moreover, we study their properties and give their examples.



Article Details

Supporting Agencies

Research Institute of Natural Science of Gangneung-Wonju National University.

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