特征结构的计算与说明

原始矩阵（直接影响矩阵）为

$$Ori=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &0 &31 &12 &46 &43 &34 &38 &24 &45 &23 &40 &30 &18\\ \hline A2 &25 &0 &19 &18 &38 &27 &27 &17 &36 &22 &44 &20 &9\\ \hline B1 &18 &38 &0 &39 &51 &34 &32 &19 &36 &42 &29 &34 &16\\ \hline B2 &24 &14 &16 &0 &45 &45 &24 &30 &36 &28 &33 &36 &22\\ \hline C1 &25 &26 &18 &21 &0 &36 &16 &21 &33 &25 &31 &36 &28\\ \hline C2 &19 &23 &45 &30 &32 &0 &14 &18 &23 &29 &25 &36 &34\\ \hline C3 &21 &24 &25 &37 &29 &27 &0 &28 &36 &32 &32 &27 &30\\ \hline C4 &32 &30 &21 &38 &31 &31 &36 &0 &31 &28 &27 &26 &26\\ \hline D1 &18 &29 &50 &21 &35 &50 &26 &33 &0 &31 &30 &42 &31\\ \hline D2 &14 &24 &27 &24 &23 &27 &36 &19 &35 &0 &17 &18 &35\\ \hline D3 &20 &19 &26 &15 &20 &23 &27 &15 &22 &29 &0 &28 &27\\ \hline E1 &30 &30 &34 &34 &43 &34 &29 &34 &28 &32 &43 &0 &41\\ \hline E2 &10 &15 &21 &12 &22 &10 &18 &20 &12 &28 &18 &16 &0\\ \hline \end{array} $$

规范直接关系矩阵求解过程 $$ \require{cancel} \require{AMScd} \begin{CD} O @>>>N \\ \end{CD} $$

$$\mathcal{N}=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &0 &0.075 &0.029 &0.112 &0.104 &0.083 &0.092 &0.058 &0.109 &0.056 &0.097 &0.073 &0.044\\ \hline A2 &0.061 &0 &0.046 &0.044 &0.092 &0.066 &0.066 &0.041 &0.087 &0.053 &0.107 &0.049 &0.022\\ \hline B1 &0.044 &0.092 &0 &0.095 &0.124 &0.083 &0.078 &0.046 &0.087 &0.102 &0.07 &0.083 &0.039\\ \hline B2 &0.058 &0.034 &0.039 &0 &0.109 &0.109 &0.058 &0.073 &0.087 &0.068 &0.08 &0.087 &0.053\\ \hline C1 &0.061 &0.063 &0.044 &0.051 &0 &0.087 &0.039 &0.051 &0.08 &0.061 &0.075 &0.087 &0.068\\ \hline C2 &0.046 &0.056 &0.109 &0.073 &0.078 &0 &0.034 &0.044 &0.056 &0.07 &0.061 &0.087 &0.083\\ \hline C3 &0.051 &0.058 &0.061 &0.09 &0.07 &0.066 &0 &0.068 &0.087 &0.078 &0.078 &0.066 &0.073\\ \hline C4 &0.078 &0.073 &0.051 &0.092 &0.075 &0.075 &0.087 &0 &0.075 &0.068 &0.066 &0.063 &0.063\\ \hline D1 &0.044 &0.07 &0.121 &0.051 &0.085 &0.121 &0.063 &0.08 &0 &0.075 &0.073 &0.102 &0.075\\ \hline D2 &0.034 &0.058 &0.066 &0.058 &0.056 &0.066 &0.087 &0.046 &0.085 &0 &0.041 &0.044 &0.085\\ \hline D3 &0.049 &0.046 &0.063 &0.036 &0.049 &0.056 &0.066 &0.036 &0.053 &0.07 &0 &0.068 &0.066\\ \hline E1 &0.073 &0.073 &0.083 &0.083 &0.104 &0.083 &0.07 &0.083 &0.068 &0.078 &0.104 &0 &0.1\\ \hline E2 &0.024 &0.036 &0.051 &0.029 &0.053 &0.024 &0.044 &0.049 &0.029 &0.068 &0.044 &0.039 &0\\ \hline \end{array} $$

综合影响矩阵求解过程 $$\begin{CD} N @>>>T \\ \end{CD} $$

　　综合影响矩阵如下

$T=\mathcal{N}(I-\mathcal{N})^{-1}$

$$T=\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &0.243 &0.352 &0.332 &0.408 &0.472 &0.431 &0.38 &0.319 &0.442 &0.378 &0.431 &0.399 &0.345\\ \hline A2 &0.25 &0.226 &0.285 &0.285 &0.384 &0.343 &0.297 &0.248 &0.354 &0.31 &0.37 &0.31 &0.264\\ \hline B1 &0.286 &0.37 &0.304 &0.395 &0.492 &0.433 &0.37 &0.309 &0.427 &0.422 &0.409 &0.409 &0.343\\ \hline B2 &0.279 &0.294 &0.318 &0.283 &0.446 &0.426 &0.327 &0.31 &0.395 &0.364 &0.387 &0.386 &0.333\\ \hline C1 &0.257 &0.293 &0.293 &0.301 &0.311 &0.371 &0.282 &0.265 &0.355 &0.326 &0.351 &0.352 &0.315\\ \hline C2 &0.25 &0.296 &0.358 &0.33 &0.396 &0.301 &0.287 &0.266 &0.345 &0.346 &0.348 &0.362 &0.335\\ \hline C3 &0.267 &0.31 &0.33 &0.359 &0.405 &0.38 &0.268 &0.301 &0.389 &0.367 &0.379 &0.358 &0.342\\ \hline C4 &0.297 &0.331 &0.328 &0.371 &0.421 &0.398 &0.357 &0.245 &0.389 &0.366 &0.379 &0.365 &0.34\\ \hline D1 &0.29 &0.358 &0.422 &0.365 &0.466 &0.471 &0.363 &0.343 &0.35 &0.406 &0.417 &0.431 &0.381\\ \hline D2 &0.22 &0.275 &0.298 &0.293 &0.346 &0.335 &0.311 &0.249 &0.344 &0.255 &0.304 &0.298 &0.314\\ \hline D3 &0.218 &0.246 &0.275 &0.254 &0.314 &0.302 &0.273 &0.222 &0.294 &0.299 &0.242 &0.297 &0.278\\ \hline E1 &0.321 &0.364 &0.39 &0.397 &0.489 &0.444 &0.376 &0.35 &0.421 &0.414 &0.451 &0.344 &0.408\\ \hline E2 &0.153 &0.187 &0.209 &0.193 &0.251 &0.212 &0.201 &0.186 &0.212 &0.238 &0.223 &0.212 &0.162\\ \hline \end{array} $$

从综合影响矩阵$T$到ISM的处理过程简介

模糊相乘矩阵有$ \tilde B=T+I$

$$\tilde B=\begin{array} {c|c|c}{M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &1 &0.3518 &0.3315 &0.4078 &0.4717 &0.4315 &0.3804 &0.3189 &0.4425 &0.3779 &0.4309 &0.3988 &0.3454\\ \hline A2 &0.2499 &1 &0.2854 &0.2854 &0.3836 &0.3432 &0.2973 &0.2483 &0.3536 &0.3099 &0.3695 &0.3098 &0.2637\\ \hline B1 &0.2861 &0.3703 &1 &0.3949 &0.4922 &0.4335 &0.3702 &0.309 &0.4268 &0.4217 &0.4092 &0.4087 &0.3434\\ \hline B2 &0.2785 &0.2945 &0.3182 &1 &0.4458 &0.4257 &0.3271 &0.3105 &0.3949 &0.3639 &0.3873 &0.3855 &0.3327\\ \hline C1 &0.2567 &0.2931 &0.2929 &0.301 &1 &0.3712 &0.2823 &0.2653 &0.3554 &0.3261 &0.3512 &0.3522 &0.3146\\ \hline C2 &0.2504 &0.2958 &0.3576 &0.3301 &0.3962 &1 &0.2873 &0.2663 &0.3451 &0.346 &0.3478 &0.3618 &0.3351\\ \hline C3 &0.2665 &0.31 &0.3297 &0.359 &0.4054 &0.3802 &1 &0.3011 &0.3892 &0.3667 &0.3785 &0.3585 &0.3416\\ \hline C4 &0.2974 &0.3306 &0.3279 &0.371 &0.4205 &0.3983 &0.3567 &1 &0.3892 &0.3662 &0.3785 &0.3653 &0.3403\\ \hline D1 &0.2903 &0.3583 &0.4223 &0.3647 &0.4664 &0.4711 &0.3634 &0.3429 &1 &0.4065 &0.4165 &0.4311 &0.3814\\ \hline D2 &0.2202 &0.2752 &0.2976 &0.2932 &0.3458 &0.3353 &0.3111 &0.249 &0.3443 &1 &0.3037 &0.298 &0.3144\\ \hline D3 &0.2176 &0.2463 &0.2746 &0.2543 &0.3144 &0.3025 &0.2733 &0.2224 &0.2941 &0.2988 &1 &0.2968 &0.2778\\ \hline E1 &0.3208 &0.3639 &0.3904 &0.3967 &0.4888 &0.4438 &0.3762 &0.3504 &0.4212 &0.4135 &0.4509 &1 &0.4077\\ \hline E2 &0.1532 &0.1871 &0.2085 &0.1926 &0.251 &0.2118 &0.2015 &0.186 &0.2121 &0.2384 &0.2227 &0.2119 &1\\ \hline \end{array} $$

模糊可达矩阵$ \tilde R$　由模糊相乘矩阵根据最大最小算子一直乘下去直到不变。

$$\tilde R=\begin{array} {c|c|c}{M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &1 &0.3703 &0.4223 &0.4078 &0.4717 &0.4425 &0.3804 &0.3504 &0.4425 &0.4217 &0.4311 &0.4311 &0.4077\\ \hline A2 &0.3208 &1 &0.3618 &0.3618 &0.3836 &0.3712 &0.3618 &0.3504 &0.3618 &0.3618 &0.3695 &0.3618 &0.3618\\ \hline B1 &0.3208 &0.3703 &1 &0.3967 &0.4922 &0.4335 &0.3762 &0.3504 &0.4268 &0.4217 &0.4268 &0.4268 &0.4077\\ \hline B2 &0.3208 &0.3703 &0.3949 &1 &0.4458 &0.4257 &0.3762 &0.3504 &0.3949 &0.3949 &0.3949 &0.3949 &0.3949\\ \hline C1 &0.3208 &0.3618 &0.3618 &0.3618 &1 &0.3712 &0.3618 &0.3504 &0.3618 &0.3618 &0.3618 &0.3618 &0.3618\\ \hline C2 &0.3208 &0.3618 &0.3618 &0.3618 &0.3962 &1 &0.3618 &0.3504 &0.3618 &0.3618 &0.3618 &0.3618 &0.3618\\ \hline C3 &0.3208 &0.3703 &0.3892 &0.3892 &0.4054 &0.3892 &1 &0.3504 &0.3892 &0.3892 &0.3892 &0.3892 &0.3892\\ \hline C4 &0.3208 &0.3703 &0.3892 &0.3892 &0.4205 &0.3983 &0.3762 &1 &0.3892 &0.3892 &0.3892 &0.3892 &0.3892\\ \hline D1 &0.3208 &0.3703 &0.4223 &0.3967 &0.4664 &0.4711 &0.3762 &0.3504 &1 &0.4217 &0.4311 &0.4311 &0.4077\\ \hline D2 &0.3208 &0.3458 &0.3458 &0.3458 &0.3458 &0.3458 &0.3458 &0.3458 &0.3458 &1 &0.3458 &0.3458 &0.3458\\ \hline D3 &0.3144 &0.3144 &0.3144 &0.3144 &0.3144 &0.3144 &0.3144 &0.3144 &0.3144 &0.3144 &1 &0.3144 &0.3144\\ \hline E1 &0.3208 &0.3703 &0.4212 &0.3967 &0.4888 &0.4438 &0.3762 &0.3504 &0.4212 &0.4212 &0.4509 &1 &0.4077\\ \hline E2 &0.251 &0.251 &0.251 &0.251 &0.251 &0.251 &0.251 &0.251 &0.251 &0.251 &0.251 &0.251 &1\\ \hline \end{array} $$

由阈值集合$\ddot \Delta $　得出综合影响矩阵$T$对应 39个结构。

序号	阈值集合中——特征阈值	聚类特征-对应截距$\lambda $数值区段
1	0.25102	0<$\lambda$<0.25102
2	0.31442	0.25102<$\lambda$<0.31442
3	0.32083	0.31442<$\lambda$<0.32083
4	0.34582	0.32083<$\lambda$<0.34582
5	0.35036	0.34582<$\lambda$<0.35036
6	0.36183	0.35036<$\lambda$<0.36183
7	0.36954	0.36183<$\lambda$<0.36954
8	0.37031	0.36954<$\lambda$<0.37031
9	0.37123	0.37031<$\lambda$<0.37123
10	0.37619	0.37123<$\lambda$<0.37619
11	0.38037	0.37619<$\lambda$<0.38037
12	0.38358	0.38037<$\lambda$<0.38358
13	0.3892	0.38358<$\lambda$<0.3892
14	0.38924	0.3892<$\lambda$<0.38924
15	0.39495	0.38924<$\lambda$<0.39495
16	0.39622	0.39495<$\lambda$<0.39622
17	0.39673	0.39622<$\lambda$<0.39673
18	0.39833	0.39673<$\lambda$<0.39833
19	0.40543	0.39833<$\lambda$<0.40543
20	0.40773	0.40543<$\lambda$<0.40773
21	0.40777	0.40773<$\lambda$<0.40777
22	0.42052	0.40777<$\lambda$<0.42052
23	0.42117	0.42052<$\lambda$<0.42117
24	0.42168	0.42117<$\lambda$<0.42168
25	0.42229	0.42168<$\lambda$<0.42229
26	0.42569	0.42229<$\lambda$<0.42569
27	0.42675	0.42569<$\lambda$<0.42675
28	0.43113	0.42675<$\lambda$<0.43113
29	0.4335	0.43113<$\lambda$<0.4335
30	0.44246	0.4335<$\lambda$<0.44246
31	0.44376	0.44246<$\lambda$<0.44376
32	0.44584	0.44376<$\lambda$<0.44584
33	0.45092	0.44584<$\lambda$<0.45092
34	0.46639	0.45092<$\lambda$<0.46639
35	0.47107	0.46639<$\lambda$<0.47107
36	0.47168	0.47107<$\lambda$<0.47168
37	0.48877	0.47168<$\lambda$<0.48877
38	0.49223	0.48877<$\lambda$<0.49223
39	1	0.49223<$\lambda$<1

特征结构——不含孤立子系统

截距范围：0.380372687<$\lambda$<0.38357755

$$A_t=\begin{array} {c|c|c|c|c|c|c|c}{M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &1 & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline A2 & &1 & & &1 & & & & & & & & \\ \hline B1 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline B2 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline C1 & & & & &1 & & & & & & & & \\ \hline C2 & & & & &1 &1 & & & & & & & \\ \hline C3 & & &1 &1 &1 &1 &1 & &1 &1 &1 &1 &1\\ \hline C4 & & &1 &1 &1 &1 & &1 &1 &1 &1 &1 &1\\ \hline D1 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline D2 & & & & & & & & & &1 & & & \\ \hline D3 & & & & & & & & & & &1 & & \\ \hline E1 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline E2 & & & & & & & & & & & & &1\\ \hline \end{array} $$

$$WS_t=\begin{array}{c|c|c|c|c|c|c}{M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &0 &0 &0 &0.4078 &0.4717 &0.4315 &0 &0 &0.4425 &0 &0.4309 &0.3988 &0\\ \hline A2 &0 &0 &0 &0 &0.3836 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline B1 &0 &0 &0 &1 &0.4922 &0.4335 &0 &0 &1 &0.4217 &0.4092 &1 &0\\ \hline B2 &0 &0 &1 &0 &0.4458 &0.4257 &0 &0 &1 &0 &0.3873 &1 &0\\ \hline C1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline C2 &0 &0 &0 &0 &0.3962 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline C3 &0 &0 &0 &0 &0.4054 &0 &0 &0 &0.3892 &0 &0 &0 &0\\ \hline C4 &0 &0 &0 &0 &0.4205 &0.3983 &0 &0 &0.3892 &0 &0 &0 &0\\ \hline D1 &0 &0 &1 &1 &0.4664 &0.4711 &0 &0 &0 &0.4065 &0.4165 &1 &0\\ \hline D2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline D3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline E1 &0 &0 &1 &1 &0.4888 &0.4438 &0 &0 &1 &0.4135 &0.4509 &0 &0.4077\\ \hline E2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline \end{array} $$

含孤立子系统的特征结构

截距范围：0.38357755<$\lambda$<0.389204449

$$A_s=\begin{array} {c|c|c|c|c|c|c|c}{M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &1 & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline A2 & &1 & & & & & & & & & & & \\ \hline B1 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline B2 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline C1 & & & & &1 & & & & & & & & \\ \hline C2 & & & & &1 &1 & & & & & & & \\ \hline C3 & & &1 &1 &1 &1 &1 & &1 &1 &1 &1 &1\\ \hline C4 & & &1 &1 &1 &1 & &1 &1 &1 &1 &1 &1\\ \hline D1 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline D2 & & & & & & & & & &1 & & & \\ \hline D3 & & & & & & & & & & &1 & & \\ \hline E1 & & &1 &1 &1 &1 & & &1 &1 &1 &1 &1\\ \hline E2 & & & & & & & & & & & & &1\\ \hline \end{array} $$

$$WS_s=\begin{array}{c|c|c|c|c|c|c}{M_{13 \times13}} &A1 &A2 &B1 &B2 &C1 &C2 &C3 &C4 &D1 &D2 &D3 &E1 &E2\\ \hline A1 &0 &0 &0 &0.4078 &0.4717 &0.4315 &0 &0 &0.4425 &0 &0.4309 &0.3988 &0\\ \hline A2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline B1 &0 &0 &0 &1 &0.4922 &0.4335 &0 &0 &1 &0.4217 &0.4092 &1 &0\\ \hline B2 &0 &0 &1 &0 &0.4458 &0.4257 &0 &0 &1 &0 &0 &1 &0\\ \hline C1 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline C2 &0 &0 &0 &0 &0.3962 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline C3 &0 &0 &0 &0 &0.4054 &0 &0 &0 &0.3892 &0 &0 &0 &0\\ \hline C4 &0 &0 &0 &0 &0.4205 &0.3983 &0 &0 &0.3892 &0 &0 &0 &0\\ \hline D1 &0 &0 &1 &1 &0.4664 &0.4711 &0 &0 &0 &0.4065 &0.4165 &1 &0\\ \hline D2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline D3 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline E1 &0 &0 &1 &1 &0.4888 &0.4438 &0 &0 &1 &0.4135 &0.4509 &0 &0.4077\\ \hline E2 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0 &0\\ \hline \end{array} $$

由综合影响矩阵求影响度、被影响度、中心度、原因度 \begin{CD} T @>>>\{D|C|M|R \} \\ \end{CD}

　　影响度、被影响度、中心度与原因度是四种度量要素在系统里影响程度的度量值。都是根据综合影响矩阵计算得出。

求解原理

影响度 $D$	$$ D_i=\sum \limits_{j=1}^{n}{t_{ij}},(i=1,2,3,\cdots,n) $$
被影响度 $C$	$$ C_i=\sum \limits_{j=1}^{n}{t_{ji}},(i=1,2,3,\cdots,n) $$
中心度 $M$	$$ M_i=D_i+C_i $$
原因度 $ R$	$$ R_i=D_i-C_i $$

结果

影响度、被影响度、中心度、原因度

$$\begin{array}{|c|c|c|c|c|c|c|}\hline {M_{13 \times4}} &Di &Ci &Mi &Ri\\ \hline A1 &4.932 &3.33 &8.262 &1.601\\ \hline A2 &3.925 &3.903 &7.828 &0.023\\ \hline B1 &4.97 &4.141 &9.111 &0.83\\ \hline B2 &4.547 &4.233 &8.781 &0.314\\ \hline C1 &4.073 &5.193 &9.265 &-1.12\\ \hline C2 &4.221 &4.849 &9.07 &-0.628\\ \hline C3 &4.454 &4.095 &8.549 &0.36\\ \hline C4 &4.587 &3.615 &8.201 &0.972\\ \hline D1 &5.065 &4.719 &9.784 &0.346\\ \hline D2 &3.843 &4.49 &8.333 &-0.648\\ \hline D3 &3.515 &4.689 &8.203 &-1.174\\ \hline E1 &5.168 &4.522 &9.69 &0.646\\ \hline E2 &2.639 &4.16 &6.799 &-1.521\\ \hline \end{array} $$

无孤立系统的中心度、原因度坐标体系综合影响关系特征结构图表

有孤立系统的中心度、原因度坐标体系综合影响关系特征结构图表

特征结构论文写作相关注意事项

数据来源即直接影响矩阵$O$的详细说明。直接影响矩阵O是整个流程中的输入。

参数选择。规范化（归一化）方法需要重点说明，采用不同的归一化方法会导致不同的结果。

输出结果为，1、带影响值的对抗层级拓扑图。2、带影响值的M,R直角坐标图

模糊可达矩阵，及阈值集合是一个重点。即综合影响矩阵$T$与对抗层级拓扑图是1对多的关系。

DEMATEL-ISM联用中特征突变结构的计算

特征结构的计算与说明

原始矩阵（直接影响矩阵）为

规范直接关系矩阵求解过程 $$ \require{cancel} \require{AMScd} \begin{CD} O @>>>N \\ \end{CD} $$

综合影响矩阵求解过程 $$\begin{CD} N @>>>T \\ \end{CD} $$

从综合影响矩阵$T$到ISM的处理过程简介

特征结构——不含孤立子系统

含孤立子系统的特征结构

由综合影响矩阵求影响度、被影响度、中心度、原因度 \begin{CD} T @>>>\{D|C|M|R \} \\ \end{CD}

求解原理

结果

无孤立系统的中心度、原因度坐标体系综合影响关系特征结构图表

有孤立系统的中心度、原因度坐标体系综合影响关系特征结构图表

特征结构论文写作相关注意事项