• Journal of applied mathematics & informatics
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• v.41 no.5
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• pp.1001-1015
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• 2023

We investigate the relationships between right (resp. left) interior systems and right (resp. left) interior operators on complete generalized residuated lattices. We show that the set induced by a right (resp. left) interior operator is right (resp. left) join complete.

• Journal of applied mathematics & informatics
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• v.42 no.3
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• pp.499-510
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• 2024

We introduce the concepts of right join-dense, right meet-dense, left join-dense and left meet-dense induced by bi-partially ordered sets on complete generalized residuated lattices. We investigate properties of these concepts and give an example related to them.

• Korean Journal of Mathematics
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• v.27 no.2
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• pp.475-485
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• 2019

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.