• International Journal of Fuzzy Logic and Intelligent Systems
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• 제13권4호
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• pp.345-351
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• 2013

In this paper, we investigate the properties of fuzzy Galois (dual Galois, residuated, and dual residuated) connections in a complete residuated lattice L. We give their examples. In particular, we study fuzzy Galois (dual Galois, residuated, dual residuated) connections induced by L-fuzzy relations.

• Korean Journal of Mathematics
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• 제27권4호
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• pp.1109-1118
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• 2019

In this paper, we introduce the notion of residuated and Galois connections on adjoint triples and investigate their properties. Using the properties of residuated and Galois connections, we solve fuzzy relation equations and give their examples.

• Korean Journal of Mathematics
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• 제21권2호
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• pp.101-116
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• 2013

In this paper, we investigate the properties of fuzzy Galois (dual Galois, residuated, dual residuated) connections in a complete residuated lattice L.

• Korean Journal of Mathematics
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• 제20권2호
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• pp.193-212
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• 2012

We investigate the properties of fuzzy connections. We find generating functions which induce fuzzy connections. In particular, we show that their connections relate to fuzzy relations.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제11권2호
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• pp.129-134
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• 2011

We investigate the properties of Galois, dual Galois, residuated, and dual residuated connections on posets. In particular, we show that their connections are related to relations.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제11권2호
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• pp.89-94
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• 2011

We investigate the relations between various connections on set and those on power set. Moreover, we give their examples.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제10권2호
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• pp.107-112
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• 2010

In this paper, we investigate the properties of antitone Galois connection and formal concepts. Moreover, we show that order reverse generating maps induce formal, attribute oriented and object oriented concepts on a complete residuated lattice.