Korean J. Math. Vol. 27 No. 2 (2019) pp.475-485
DOI: https://doi.org/10.11568/kjm.2019.27.2.475

$L$-fuzzy bi-closure systems and $L$-fuzzy bi-closure operators

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Published: Jun 30, 2019
Keywords:
Right (resp. left, bi-) closure systems, generalized residuated lattices, right (resp. left, bi-) closure (interior) operators
Mathematics Subject Classification:
03E72, 03G10, 06A15, 54F05

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Jung Mi Ko
Department of Mathematics Gangneung-Wonju National University Gangneung 25457, Korea
Yong Chan Kim
Department of Mathematics Gangneung-Wonju National University Gangneung 25457, Korea

Abstract

In this paper, we introduced the notions of right and left closure systems on generalized residuated lattices. In particular, we study the relations between right (left) closure (interior) operators and right (left) closure (interior) systems. We give their examples.


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Supporting Agencies

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

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