The definition of derived set calculation can be obtained according to the closure of set and the characteristics of derived set.

根据导集的性质以及闭包运算的定义，得到导集运算的定义。

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Similar to the building of topological Spaces through the calculation of a closure of set, the topological Spaces can also be built through the derived set calculation.

又类似于从闭包运算出发建立拓扑空间，从而得到了从导集运算出发建立的拓扑空间。

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This paper defines the concept of derived set operator, introduces the concept of fuzzy derived set operator in EX, studies their properties and discusses their relations to topology.

文中给出了导集算子的概念，并在EX上引入了模糊导集算子的概念，研究了其性质，讨论了它们与拓扑间的关系。

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The data set for Figure 1 was derived from the Ken French Data Library.

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