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 classiÿcation system.

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, h) ≥ b}
0≤h≤1