µP X (F ) = inf max{1 − µF (x), µX (x)}
            x



µP X (x) = sup min µF (x), µP X (F )
          F ∈U/P
x∈U   µP OSP (Q) (x)
γP (Q) =
                  |U |

µP OSP (Q) (x) = sup µP X (x)
                 X∈U/Q
R. Jensen, Q. Shen / Fuzzy Sets and Systems 141 (2004)




C = P,
D=Q
R. Jensen, Q. Shen / Fuzzy Sets and Systems 141 (2004) 469 – 485




    Fig. 5. Modular decomposition of the classiÿcatio...
N
tf × log
         df
≥
µΦ   (A) (x)   =     max         ξ[I](µFi (x), NFi (A))
                   i=1,2,...,n




      ξ[i](a, b) = inf {h|I(a, ...
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
進捗報告2007 11 09 15 31 39
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進捗報告2007 11 09 15 31 39

  1. 1. µP X (F ) = inf max{1 − µF (x), µX (x)} x µP X (x) = sup min µF (x), µP X (F ) F ∈U/P
  2. 2. x∈U µP OSP (Q) (x) γP (Q) = |U | µP OSP (Q) (x) = sup µP X (x) X∈U/Q
  3. 3. R. Jensen, Q. Shen / Fuzzy Sets and Systems 141 (2004) C = P, D=Q
  4. 4. R. Jensen, Q. Shen / Fuzzy Sets and Systems 141 (2004) 469 – 485 Fig. 5. Modular decomposition of the classiÿcation system.
  5. 5. N tf × log df
  6. 6.
  7. 7. µΦ (A) (x) = max ξ[I](µFi (x), NFi (A)) i=1,2,...,n ξ[i](a, b) = inf {h|I(a, h) ≥ b} 0≤h≤1

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