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Identification and evaluation of rough knowledge

In] R1nR ',[link widoczny dla zalogowanych], apparently by the construction of y [zlnR2ny ≠ sound, and [z] RNR2y, that [z] RlNR2RNR2 (y) a, so y offerings n2 ≠ Y, contradiction. ) V (z, j,> ∈ RnR2, the y6 [z] R】 n. Because l [z] R】 NRzI = 1, so there must be z-y, this card was RnRz =. ② x'21 ' maximum x-x ¨ 1 x Gan Gan xl2 an X ∈ D, RlnR2) Gan xl2 = U - XC ~ X-(R21 reached the maximum u-X-X-1. ① ② from the theorem is proved. Definition 15 If X) a, is called relative to the trivial R ・ of X is mining; if XR2) soon, then we call R Rz as compared to the negative on the X in the ordinary mining. If VXU, R. Relative to the R on X is trivial mining, called Rz is relative to the R. Ordinary mining. Definition 14 Let R, Rz for the U on the two knowledge, xut called D plot (as opposed to Rl Rz are mining the degree of X,; said. (For Rz Rl on the X relative to the degree of negative mining. Theorem 7 set, avoid the knowledge of the two, there are: (1) VX ∈ (U) a D (U, R), 0 ≤ DMt, a R, (X) ≤ 1, O ≤ DM% A) ≤ 1,[link widoczny dla zalogowanych], ( 2) D regret a R, (x) a 1 at first glance \- X, u-X-x A, (x), so the inequality holds. (2) thief R, (x) = 1 Gan】. = Xc = ~ X ∈ Def (U, R1nRz) first \- (Rlz = U-X first \(X) a 1, a 2 X + set X, X ∈ Factory (U, RnRz). Suppose RlnR2n (xX (u-x)) ≠ sound, then there exists (z, j,> ∈ RnRn (xX (- x)), which xRnRzy, z ∈ X and yX, so [z] RnR2x, nR2xz, but] R】 nR2 has x elements z, so, NRzn (x) ≠ sound, and X6Def (u, RnRz) contradictions . Sufficiency: Suppose D rise of an R1 (x) ≠ 1, then Xz ≠ x, XDef (u, RnR2), which B.anR2 (x) ≠ sound, that there is] RlnR2,] RnR2nR '(x). Therefore,[link widoczny dla zalogowanych], exist y, = ∈ k] R1NRz but Y6X, = x, see: (j,, =) ∈ RlnR2n (xx (U-X)), and conditions RlnR2n (xx (-)) a ≯ contradiction. which permits have burning one, () a 1. Conclusion In this paper, knowledge of particles and the positive field, the concept of negative domain in the Pawlak approximation space (u, R) u in on objects in the universe and the relationship between x u in rough areas identified on indiscernibility relation R on the ability to identify areas of rough x quantified,[link widoczny dla zalogowanych], the corresponding metric criteria, and further recognition of knowledge and knowledge of the multiple re-excavation of crude concept of indiscernibility relations on a number of fields The interaction was discussed. These efforts will contribute to the discovery of domain knowledge, and mining.
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