dependency set
1.Using the definition of functional dependency set and Armstrong axiom, it is given the optimum alogrithm of the minimum functional dependency set from attribute set closure in this paper.
2.Then the IIS after the object reduction is investigated through the set pair analysis. The attribute dependency is obtained and the attributes are further reduced.
3.FRSAR(Fuzzy-rough Set Attribute Reduction) is a method based on Fuzzy-Rough set for attribute reduction which can avoid the loss of information during the data discretization,but it is poorly designed on the calculation of the dependency for attribute sets.
4.An algorithm is proposed to avoid the crack between terrain blocks, set the state of the border vertices consistent forcibly, at the same time set the ancestors of these vertices active, which use the DAG (directed acyclic graphic) to decide the dependency relationship of vertices.
5.In this paper,based on rough set theory and relational database,the relationship between rough relational database and fuzzy relational database is analyzed systematically from functional dependency,normal form and Armstrong axiom.
6.To quantitatively measure model complexity,a multi-layer architecture of business models is firstly shown,in which a business model is divided into a set of Basic Model Units (BMUs) by the dependency and decomposition relationships between business entities.

