Note on "Two New Reduction Definition of Decision Table"
For the sake of different applications, various definitions of attribute reduction have been proposed by different researchers. By analyzing the differences between attribute reduction based on positive region and that based on information entropy, Jiang et al proposed two new definitions on attribute reduction. By analyzing an example, we pointed out the disadvantages of these two definitions. The reasons caused the disadvantages lie in that the two formulas for measuring mean decision power and decision entropy are not monotonous. According to the basic ideas of Jiang et al, two new formulas for measuring decision power and decision entropy are proposed at first. Then, it is proved that the two proposed formulas are monotonous. Accordingly, definitions of attribute reduction based on decision power and decision entropy are proposed.