JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (7): 52-59.doi: 10.6040/j.issn.1671-9352.4.2022.6266

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Lyapunov stability of decision evolution set

Yuwen HU1,2,3(),Jiucheng XU1,2,Qianqian ZHANG1,2   

  1. 1. College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, Henan, China
    2. Henan Engineering and Technology Laboratory of Smart Business and Internet of things, Xinxiang 453007, Henan, China
    3. Library, Henan Normal University, Xinxiang 453007, Henan, China
  • Received:2022-07-26 Online:2023-07-20 Published:2023-07-05

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Abstract:

By using the Lyapunov second method, the evolution matrix of the decision information system is extended and reconstructed, and the Lyapunov function of the decision information system at a certain point in time is established, and the stability of the decision information system is judged by the function.

Key words: rough set, decision evolution, evolution matrix, Lyapunov stability

CLC Number: 

  • TP18

Table 1

Time granular decision rules after attribute reduction"

时间粒 决策规则
g1 dh→f
g2 ace→f
g3 ab→f
g4 cde→f
g5 acde→f
g6 bcde→f

Table 2

Reduction of each time grain in wdbc data set"

时间粒 属性
wly1 wly2 wly3 wly4 wly5 wly6 … wly30
g1 0 1 1 0 1 0 … 0
g2 0 1 0 1 1 0 … 0
g3 0 1 0 0 1 0 … 0
… … … … … … … … …
g12 0 0 0 0 0 0 0

Fig.1

Time granular space evolution graph of wdbc dataset"

Table 3

Reduction of each time grain in audit_risk data set"

时间粒 属性
aly1 aly2 aly3 aly4 aly5 aly6 … aly26
g1 0 1 1 1 0 0 … 0
g2 0 1 0 1 0 0 … 0
g3 1 0 0 0 0 0 … 0
… … … … … … … … …
g15 0 0 0 0 0 0 … 0

Fig.2

Time granular space evolution graph ofaudit_risk dataset"

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