1 Introduction
2 Experimental data sets—a summary
3 Time series-selected underlying processing issues
4 A granular framework of interpretation of time series: a layered approach to the interpretation of time series
{(positive small,negative medium})(0.7)}
{(negative large,around zero)(0.9)}\(\dots \)
5 Construction of information granules
5.1 The principle of justifiable granularity
5.2 Formation of fuzzy sets out of a family of interval information granules
6 Clustering information granules—a formation of linguistic landmarks
Granular label (amplitude) | Linguistic terms | Granular label (change of amplitude) | Linguistic terms |
---|---|---|---|
A1 | Positive medium (PM) | B1 | Positive medium (PM) |
A2 | Positive large (PL) | B2 | Negative small (NS) |
A3 | Positive small (PS) | B3 | Negative medium (NM) |
Prototype no. | Prototype expressed in Cartesian product of \(x\) and \(\Delta {x}\)
| Linguistic description of granular prototype | Legitimacy level \(\mu \)
|
---|---|---|---|
6 | A2 \(\times \) B3 | PL \(\times \) NM | 27.7 |
5 | A2 \(\times \) B2 | PL \(\times \) NS | 20.1 |
9 | A3 \(\times \) B3 | PS \(\times \) NM | 17.0 |
4 | A2 \(\times \) B1 | PL \(\times \) PM | 14.1 |
8 | A3 \(\times \) B2 | PS \(\times \) NS | 14.0 |
3 | A1 \(\times \) B3 | PM \(\times \) NM | 11.1 |
2 | A1 \(\times \) B2 | PM \(\times \) NS | 10.4 |
1 | A1 \(\times \) B1 | PM \(\times \) PM | 0.0 |
7 | A3 \(\times \) B1 | PS \(\times \) PM | 0.0 |
Granular label (amplitude) | Linguistic terms | Granular label (change of amplitude) | Linguistic terms |
---|---|---|---|
A1 | Positive small (PS) | B1 | Positive small (PS) |
A2 | Positive medium (PM) | B2 | Positive medium (PM) |
A3 | Positive large (PL) | B3 | Negative medium (NM) |
Prototype no. | Prototype expressed in Cartesian product of \(x\) and \(\Delta x\)
| Linguistic description of granular prototype | Legitimacy level \(\mu \)
|
---|---|---|---|
3 | A1 \(\times \) B3 | PS \(\times \) NS | 42.7 |
1 | A1 \(\times \) B1 | PS \(\times \) PS | 17.4 |
5 | A2 \(\times \) B2 | PM \(\times \) PM | 12.5 |
6 | A2 \(\times \) B3 | PM \(\times \) NS | 0.4 |
7 | A3 \(\times \) B1 | PL \(\times \) PS | 0.2 |
8 | A3 \(\times \) B2 | PL \(\times \) PM | 0.2 |
9 | A3 \(\times \) B3 | PL \(\times \) NS | 0.2 |
2 | A1 \(\times \) B2 | PS \(\times \) PM | 0 |
4 | A2 \(\times \) B1 | PM \(\times \) PS | 0 |
Granular label (amplitude) | Linguistic terms | Granular label (change of amplitude) | Linguistic terms |
---|---|---|---|
A1 | Positive large (PL) | B1 | Zero |
A2 | Positive medium (PM) | B2 | Positive small (PS) |
A3 | Positive small (PS) | B3 | Positive medium (PM) |
A4 | Positive medium\(^+\) (PM\(^+\)) | B4 | Negative small (NS) |
A5 | Positive large\(^+\) (PL\(^+\)) | B5 | Negative medium (NM) |
Prototype no. | Prototype expressed in Cartesian product of \(x\) and \(\Delta x\)
| Linguistic description of granular prototype | Legitimacylevel \(\mu \)
|
---|---|---|---|
17 | A4 \(\times \) B2 | PM\(^+\times \) PS | 21.1 |
6 | A2 \(\times \) B1 | PM \(\times \) Z | 16.2 |
13 | A3 \(\times \) B3 | PS \(\times \) PM | 12.3 |
1 | A1 \(\times \) B1 | PL \(\times \) Z | 10.1 |
7 | A2 \(\times \) B2 | PM \(\times \) PS | 9.4 |
2 | A1 \(\times \) B2 | PL \(\times \) PS | 8.4 |
11 | A3 \(\times \) B1 | PS \(\times \) Z | 7.1 |
16 | A4 \(\times \) B1 | PM \(\times \) Z | 6.9 |
25 | A5 \(\times \) B5 | PL\(^+\times \) NM | 4.5 |
4 | A1 \(\times \) B4 | PL \(\times \) NS | 3.9 |
8 | A2 \(\times \) B3 | PM \(\times \) PM | 3.9 |
3 | A1 \(\times \) B3 | PL \(\times \) PM | 3.7 |
14 | A3 \(\times \) B4 | PS \(\times \) NS | 3.3 |
18 | A4 \(\times \) B3 | PM \(\times \) PM | 3.1 |
5 | A1 \(\times \) B5 | PL \(\times \) NM | 1 |
19 | A4 \(\times \) B4 | PM \(\times \) NS | 0.7 |
22 | A5 \(\times \) B2 | PL\(^+\times \) PS | 0.6 |
12 | A3 \(\times \) B2 | PS \(\times \) PS | 0.5 |
15 | A3 \(\times \) B5 | PS \(\times \) NM | 0.5 |
10 | A2 \(\times \) B5 | PM \(\times \) NM | 0.4 |
24 | A5 \(\times \) B4 | PL \(\times \) NS | 0.3 |
9 | A2 \(\times \) B4 | PM \(\times \) NS | 0.2 |
21 | A5 \(\times \) B1 | PL\(^+\times \) Z | 0.1 |
23 | A5 \(\times \) B3 | PL\(^+\times \) PM | 0.1 |
20 | A4 \(\times \) B5 | PM \(\times \) NM | 0 |
Temporal window \(\sharp \)
| Prototypes | Linguistic descriptor | Level of matching | Temporal window \(\sharp \)
| Prototypes | Linguistic descriptor | Level of matching |
---|---|---|---|---|---|---|---|
1 |
\(\mathrm{A}_2\times \mathrm{B}_1\)
|
\(\mathrm{PL}\times \mathrm{PM}\)
| 0.37 | 11 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NM}\)
| 0.51 |
\((\mathrm{A}_2\times \mathrm{B}_3)\)
|
\((\mathrm{PL}\times \mathrm{NM})\)
| (0.25) |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.45) | ||
2 |
\(\mathrm{A}_2\times \mathrm{B}_1\)
|
\(\mathrm{PL}\times \mathrm{PM}\)
| 0.41 | 12 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NM}\)
| 0.51 |
\((\mathrm{A}_2\times \mathrm{B}_3)\)
|
\((\mathrm{PL}\times \mathrm{NM})\)
| (0.30) |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.42) | ||
3 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PL}\times \mathrm{NM}\)
| 0.36 | 13 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NM}\)
| 0.49 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PL}\times \mathrm{NS})\)
| (0.36) |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.46) | ||
4 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PL}\times \mathrm{NM}\)
| 0.27 | 14 |
\(\mathrm{A}_1\times \mathrm{B}_2\)
|
\(\mathrm{PM}\times \mathrm{NS}\)
| 0.39 |
\((\mathrm{A}_2\times \mathrm{B}_1)\)
|
\((\mathrm{PL}\times \mathrm{PM})\)
| (0.29) |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PM}\times \mathrm{NM})\)
| (0.36) | ||
5 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PL}\times \mathrm{NS}\)
| 0.37 | 15 |
\(\mathrm{A}_3\times \mathrm{B}_2\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.29 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PL}\times \mathrm{NS})\)
| (0.29) |
\((\mathrm{A}_3\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NM})\)
| (0.27) | ||
6 |
\(\mathrm{A}_2\times \mathrm{B}_2\)
|
\(\mathrm{PL}\times \mathrm{NS}\)
| 0.37 | 16 |
\(\mathrm{A}_3\times \mathrm{B}_2\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.51 |
\((\mathrm{A}_2\times \mathrm{B}_3)\)
|
\((\mathrm{PL}\times \mathrm{NM})\)
| (0.36) |
\((\mathrm{A}_3\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NM})\)
| (0.44) | ||
7 |
\(\mathrm{A}_1\times \mathrm{B}_2\)
|
\(\mathrm{PM}\times \mathrm{NS}\)
| 0.42 | 17 |
\(\mathrm{A}_3\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NM}\)
| 0.51 |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PM}\times \mathrm{NM})\)
| (0.38) |
\((\mathrm{A}_3\times \mathrm{B}_2)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.46) | ||
8 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NM}\)
| 0.36 | 18 |
\(\mathrm{A}_3\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NM}\)
| 0.51 |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.31) |
\((\mathrm{A}_3\times \mathrm{B}_2)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.46) | ||
9 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PL}\times \mathrm{NM}\)
| 0.25 | 19 |
\(\mathrm{A}_3\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NM}\)
| 0.48 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PL}\times \mathrm{NS})\)
| (0.23) |
\((\mathrm{A}_3\times \mathrm{B}_2)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.48) | ||
10 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NM}\)
| 0.43 | 20 |
\(\mathrm{A}_3\times \mathrm{B}_2\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.50 |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.42) |
\((\mathrm{A}_3\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NM})\)
| (0.43) |
Temporal window \(\sharp \)
| Prototypes | Linguistic descriptor | Level of matching | Temporal window \(\sharp \)
| Prototypes | Linguistic descriptor | Level of matching |
---|---|---|---|---|---|---|---|
1 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NS}\)
| 0.84 | 11 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NS}\)
| 0.48 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PM})\)
| (0.15) |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PM})\)
| (0.36) | ||
2 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NS}\)
| 0.42 | 12 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.49 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PM})\)
| (0.23) |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.35) | ||
3 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.53 | 13 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.61 |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.39) |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.33) | ||
4 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.66 | 14 |
\(\mathrm{A}_1\times \mathrm{B}_1\)
|
\(\mathrm{PS}\times \mathrm{PS}\)
| 0.59 |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.28) |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.39) | ||
5 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.54 | 15 |
\(\mathrm{A}_1\times \mathrm{B}_1\)
|
\(\mathrm{PS}\times \mathrm{PS}\)
| 0.63 |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.38) |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.32) | ||
6 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.56 | 16 |
\(\mathrm{A}_1\times \mathrm{B}_1\)
|
\(\mathrm{PS}\times \mathrm{PS}\)
| 0.38 |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.36) |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.24) | ||
7 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.47 | 17 |
\(\mathrm{A}_2\times \mathrm{B}_2\)
|
\(\mathrm{PM}\times \mathrm{PM}\)
| 0.46 |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.46) |
\((\mathrm{A}_2\times \mathrm{B}_3)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.38) | ||
8 |
\(\mathrm{A}_1\times \mathrm{B}_1\)
|
\(\mathrm{PS}\times \mathrm{PS}\)
| 0.66 | 18 |
\(\mathrm{A}_2\times \mathrm{B}_2\)
|
\(\mathrm{PM}\times \mathrm{PM}\)
| 0.58 |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.28) |
\((\mathrm{A}_2\times \mathrm{B}_3)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.35) | ||
9 |
\(\mathrm{A}_1\times \mathrm{B}_1\)
|
\(\mathrm{PS}\times \mathrm{PS}\)
| 0.51 | 19 |
\(\mathrm{A}_2\times \mathrm{B}_2\)
|
\(\mathrm{PM}\times \mathrm{PM}\)
| 0.55 |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.40) |
\((\mathrm{A}_2\times \mathrm{B}_3)\)
|
\((\mathrm{PM}\times \mathrm{NS})\)
| (0.34) | ||
10 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{NS}\)
| 0.31 | 20 |
\(\mathrm{A}_3\times \mathrm{B}_2\)
|
\(\mathrm{PL}\times \mathrm{PM}\)
| 0.61 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PM})\)
| (0.30) |
\((\mathrm{A}_3\times \mathrm{B}_1)\)
|
\((\mathrm{PL}\times \mathrm{PS})\)
| (0.21) |
Temporal window \(\sharp \)
| Prototypes | Linguistic descriptor | Level of matching | Temporal window \(\sharp \)
| Prototypes | Linguistic descriptor | Level of matching |
---|---|---|---|---|---|---|---|
1 |
\(\mathrm{A}_5\times \mathrm{B}_4\)
|
\(\mathrm{PL}^+\times \mathrm{NS}\)
| 0.23 | 16 |
\(\mathrm{A}_4\times \mathrm{B}_3\)
|
\(\mathrm{PM}^+\times \mathrm{PM}\)
| 0.13 |
\((\mathrm{A}_5\times \mathrm{B}_5)\)
|
\((\mathrm{PL}^+\times \mathrm{NM})\)
| (0.21) |
\((\mathrm{A}_4\times \mathrm{B}_2)\)
|
\((\mathrm{PM}^+\times \mathrm{PS})\)
| (0.13) | ||
2 |
\(\mathrm{A}_5\times \mathrm{B}_4\)
|
\(\mathrm{PL}^+\times \mathrm{NS}\)
| 0.21 | 17 |
\(\mathrm{A}_4\times \mathrm{B}_2\)
|
\(\mathrm{PM}^+\times \mathrm{PS}\)
| 0.17 |
\((\mathrm{A}_5\times \mathrm{B}_5)\)
|
\((\mathrm{PL}^+\times \mathrm{NM})\)
| (0.20) |
\((\mathrm{A}_4\times \mathrm{B}_1)\)
|
\((\mathrm{PM}^+\times \mathrm{Zero})\)
| (0.16) | ||
3 |
\(\mathrm{A}_1\times \mathrm{B}_5\)
|
\(\mathrm{PL}\times \mathrm{NM}\)
| 0.15 | 18 |
\(\mathrm{A}_1\times \mathrm{B}_2\)
|
\(\mathrm{PL}\times \mathrm{PS}\)
| 0.17 |
\((\mathrm{A}_1\times \mathrm{B}_4)\)
|
\((\mathrm{PL}\times \mathrm{NM})\)
| (0.14) |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PL}\times \mathrm{PM})\)
| (0.17) | ||
4 |
\(\mathrm{A}_2\times \mathrm{B}_4\)
|
\(\mathrm{PM}\times \mathrm{NS}\)
| 0.23 | 19 |
\(\mathrm{A}_1\times \mathrm{B}_4\)
|
\(\mathrm{PL}\times \mathrm{NS}\)
| 0.22 |
\((\mathrm{A}_2\times \mathrm{B}_1)\)
|
\((\mathrm{PM}\times \mathrm{Zero})\)
| (0.20) |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PL}\times \mathrm{Zero})\)
| (0.19) | ||
5 |
\(\mathrm{A}_2\times \mathrm{B}_1\)
|
\(\mathrm{PM}\times \mathrm{Zero}\)
| 0.16 | 20 |
\(\mathrm{A}_4\times \mathrm{B}_1\)
|
\(\mathrm{PM}\times \mathrm{Zero}\)
| 0.25 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PS})\)
| (0.16) |
\((\mathrm{A}_4\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PS})\)
| (0.24) | ||
6 |
\(\mathrm{A}_3\times \mathrm{B}_4\)
|
\(\mathrm{PS}\times \mathrm{NS}\)
| 0.17 | 21 |
\(\mathrm{A}_3\times \mathrm{B}_5\)
|
\(\mathrm{PS}\times \mathrm{NM}\)
| 0.16 |
\((\mathrm{A}_3\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{Zero})\)
| (0.16) |
\((\mathrm{A}_3\times \mathrm{B}_4)\)
|
\((\mathrm{PS}\times \mathrm{NS})\)
| (0.16) | ||
7 |
\(\mathrm{A}_3\times \mathrm{B}_2\)
|
\(\mathrm{PS}\times \mathrm{PS}\)
| 0.18 | 22 |
\(\mathrm{A}_3\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{PM}\)
| 0.25 |
\((\mathrm{A}_3\times \mathrm{B}_1)\)
|
\((\mathrm{PS}\times \mathrm{Zero})\)
| (0.18) |
\((\mathrm{A}_3\times \mathrm{B}_2)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.21) | ||
8 |
\(\mathrm{A}_3\times \mathrm{B}_3\)
|
\(\mathrm{PS}\times \mathrm{PM}\)
| 0.19 | 23 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{PM}\)
| 0.32 |
\((\mathrm{A}_3\times \mathrm{B}_2)\)
|
\((\mathrm{PS}\times \mathrm{PS})\)
| (0.19) |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PS})\)
| (0.23) | ||
9 |
\(\mathrm{A}_2\times \mathrm{B}_3\)
|
\(\mathrm{PM}\times \mathrm{PM}\)
| 0.13 | 24 |
\(\mathrm{A}_4\times \mathrm{B}_2\)
|
\(\mathrm{PM}^+\times \mathrm{PS}\)
| 0.28 |
\((\mathrm{A}_2\times \mathrm{B}_1)\)
|
\((\mathrm{PM}\times \mathrm{Zero})\)
| (0.13) |
\((\mathrm{A}_4\times \mathrm{B}_3)\)
|
\((\mathrm{PM}^+\times \mathrm{PM})\)
| (0.28) | ||
10 |
\(\mathrm{A}_2\times \mathrm{B}_1\)
|
\(\mathrm{PM}\times \mathrm{Zero}\)
| 0.38 | 25 |
\(\mathrm{A}_4\times \mathrm{B}_1\)
|
\(\mathrm{PM}^+\times \mathrm{Zero}\)
| 0.25 |
\((\mathrm{A}_2\times \mathrm{B}_2)\)
|
\((\mathrm{PM}\times \mathrm{PS})\)
| (0.31) |
\((\mathrm{A}_4\times \mathrm{B}_2)\)
|
\((\mathrm{PM}^+\times \mathrm{PS})\)
| (0.23) | ||
11 |
\(\mathrm{A}_2\times \mathrm{B}_1\)
|
\(\mathrm{PM}\times \mathrm{Zero}\)
| 0.20 | 26 |
\(\mathrm{A}_1\times \mathrm{B}_3\)
|
\(\mathrm{PL}\times \mathrm{PM}\)
| 0.22 |
\((\mathrm{A}_2\times \mathrm{B}_1)\)
|
\((\mathrm{PM}\times \mathrm{Zero})\)
| (0.19) |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PL}\times \mathrm{PS})\)
| (0.20) | ||
12 |
\(\mathrm{A}_2\times \mathrm{B}_2\)
|
\(\mathrm{PM}\times \mathrm{PS}\)
| 0.20 | 27 |
\(\mathrm{A}_1\times \mathrm{B}_1\)
|
\(\mathrm{PL}\times \mathrm{Zero}\)
| 0.23 |
\((\mathrm{A}_2\times \mathrm{B}_1)\)
|
\((\mathrm{PM}\times \mathrm{Zero})\)
| (0.19) |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PL}\times \mathrm{PS})\)
| (0.21) | ||
13 |
\(\mathrm{A}_2\times \mathrm{B}_2\)
|
\(\mathrm{PM}\times \mathrm{PS}\)
| 0.22 | 28 |
\(\mathrm{A}_1\times \mathrm{B}_2\)
|
\(\mathrm{PL}\times \mathrm{PS}\)
| 0.17 |
\((\mathrm{A}_2\times \mathrm{B}_3)\)
|
\((\mathrm{PM}\times \mathrm{PM})\)
| (0.20) |
\((\mathrm{A}_1\times \mathrm{B}_3)\)
|
\((\mathrm{PL}\times \mathrm{PM})\)
| (0.17) | ||
14 |
\(\mathrm{A}_4\times \mathrm{B}_2\)
|
\(\mathrm{PM}^+\times \mathrm{PS}\)
| 0.13 | 29 |
\(\mathrm{A}_1\times \mathrm{B}_1\)
|
\(\mathrm{PL}\times \mathrm{Zero}\)
| 0.16 |
\((\mathrm{A}_4\times \mathrm{B}_1)\)
|
\((\mathrm{PM}^+\times \mathrm{Zero})\)
| (0.12) |
\((\mathrm{A}_1\times \mathrm{B}_2)\)
|
\((\mathrm{PL}\times \mathrm{PS})\)
| (0.16) | ||
15 |
\(\mathrm{A}_4\times \mathrm{B}_1\)
|
\(\mathrm{PM}^+\times \mathrm{Zero}\)
| 0.53 | 30 |
\(\mathrm{A}_1\times \mathrm{B}_2\)
|
\(\mathrm{PL}\times \mathrm{PS}\)
| 0.15 |
\((\mathrm{A}_4\times \mathrm{B}_2)\)
|
\((\mathrm{PM}^+\times \mathrm{PS})\)
| (0.27) |
\((\mathrm{A}_1\times \mathrm{B}_1)\)
|
\((\mathrm{PL}\times \mathrm{Zero})\)
| (0.21) |