• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.1
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• pp.59-64
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• 2009

In this paper, we study the relations between L-fuzzy topologies and L-filters on a strictly two-sided, commutative quantale lattice L. We define an L-fuzzy neighborhood filter and introduce the notion of L-filter convergence in L-fuzzy topological spaces.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.2
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• pp.65-70
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• 2009

In this paper, we introduced the notion of (L,$\bigodot$)-quasi-uniform spaces and (L,$\bigodot$)-neighborhood systems on a strictly two-sided, commutative quantale lattice L. We investigate their properties and give the examples. In particular, we study the relations between (L,$\bigodot$)-quasi-uniform spaces and (L,$\bigodot$)-neighborhood systems.

• Journal of the Korean Institute of Intelligent Systems
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• v.19 no.2
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• pp.291-296
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• 2009

We investigate the properties of fuzzy relations and $\bigodot$-equivalence relation on a stsc quantale lattice L and a commutative cqm-lattice. In particular, we find $\bigodot$-equivalence relations induced by fuzzy relations.

• Journal of the Korean Institute of Intelligent Systems
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• v.18 no.3
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• pp.401-405
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• 2008

We investigate the properties of fuzzy relations and $\odot$-equivalence relation on a stsc quantale lattice L and a commutative cqm-lattice. In particular, fuzzy relations preserve(*, \otimes$)-equivalence relations where $\otimes$ are compositions, $\Rightarrow$ and $\Leftarrow$.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.9 no.1
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• pp.30-35
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• 2009

We investigate the properties of fuzzy relations, metrics and $\bigodot$-equivalence relation on a stsc quantale lattice L and a commutative cqm-lattice. In particular, pseudo-(quasi-) metrics induce $\bigodot$-(quasi)-equivalence relations.

• Proceedings of the Korea Database Society Conference
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• 2000.11a
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• pp.119-123
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• 2000

In this note, we study recent results concerning simplicity and spatiality of involutive quantales from the algebraic point of view. When S is a sup-lattice (with a duality), Q(S)$\times$Q( $S^{op}$ ) (Q(S)) is an involutive quantale. Using this, some characterizations of simplicity and spatiality of involutive quantales are investigated.