On the interior and closure operators of L-fuzzy neighborhood systems
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Rough set based on the L-fuzzy neighborhood system is a general rough set model. This paper studies the structure-preserving properties of its interior and closure operators. For an L-fuzzy neighborhood system on a single universe, we define the neighborhood system reduction and find the upper and lower bounds of the interior and closure operators. We also show that different L-fuzzy neighborhood systems can produce the same interior and closure operators under certain conditions. For L-fuzzy neighborhood systems on two universes, we use mapping and consistent function to study structure preservation of the interior and closure operators of the two systems.
Abstract
Rough set based on the L-fuzzy neighborhood system is a general rough set model. This paper studies the structure-preserving properties of its interior and closure operators. For an L-fuzzy neighborhood system on a single universe, we define the neighborhood system reduction and find the upper and lower bounds of the interior and closure operators. We also show that different L-fuzzy neighborhood systems can produce the same interior and closure operators under certain conditions. For L-fuzzy neighborhood systems on two universes, we use mapping and consistent function to study structure preservation of the interior and closure operators of the two systems.
참고문헌 (26)
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