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Journal of Chinese Integrative Medicine ›› 2008, Vol. 6 ›› Issue (11): 1117-1121.doi: 10.3736/jcim20081104

• Original Clinical Research • Previous Articles     Next Articles

Establishment of a fuzzy mathematical model for syndrome differentiation of gastric cancer

Long Liu1, Ling Xu2(), Da-zhi Sun2, Pin-kang Wei2   

  1. 1. School of Traditional Chinese Medicine, Second Military Medical University, Shanghai 200433, China
    2. Department of Traditional Chinese Medicine, Changzheng Hospital, Second Military Medical University, Shanghai 200003, Chinaq
  • Received:2008-02-15 Online:2008-11-20 Published:2008-11-15

Objective: 

To probe into a method for establishing the fuzzy mathematical model for syndrome differentiation of gastric cancer.


Methods: 

According to the analysis of 769 cases of gastric cancer, the U-domain, syndrome type set V and the fuzzy relation of symptom and syndrome type were established. The fuzzy set of syndrome type was set up too. The fuzzy model for syndrome differentiation of gastric cancer was constructed by adopting close degree fuzzy set and the biggest attaching principle.


Results: 

The actual coincidence rate in incoordination between liver and stomach was 65.00%; in yin deficiency due to gastric heat was 72.22%; in deficiency-cold of spleen and stomach was 70.00%; in blood stasis accumulating with toxin was 57.14%; in phlegm accumulating with dampness was 53.33%; and in exhaustion of both qi and blood was 72.22%. The overall coincidence rate was 65.71%.


Conclusion: 

The model offers a solution for objective research of syndrome differentiation, and has the clinical value.

Key words: fuzzy mathematics, gastric cancer, sydrome differentiation, models, theoretical

CLC Number: 

  • R-39

Table 1

Clinical symptom of gastric cancer by syndrome differentiation"

Symptom (Ui) Symptom (Ui) Symptom (Ui) Symptom (Ui)
u1胀痛 u13硬便 u25乏力 u37厚苔
u2隐痛 u14食欲减退 u26消瘦 u38润苔
u3刺痛 u15喜热饮食 u27面色白 u39腻苔
u4灼痛 u16恶心 u28面色晦暗 u40少苔
u5饥饿痛 u17呕吐 u29面色萎黄 u41弦脉
u6饭后痛 u18泛酸 u30淡红舌 u42滑脉
u7痛处固定 u19嗳气 u31红舌 u43细脉
u8饱胀感 u20上腹不适 u32淡白舌 u44沉脉
u9便秘 u21畏寒怕冷 u33紫暗舌 u45数脉
u10腹泻 u22口干 u34红绛舌 u46缓脉
u11黑便 u23口苦 u35白苔 u47涩脉
u12溏便 u24头晕 u36薄苔

Table 2

Fuzzy relationship of symptom and syndrome type"

Sydrome type (Vj) Sydrome type (Vj) Sydrome type (Vj) Sydrome type (Vj)
v1 v2 v3 v4 v5 v6 v1 v2 v3 v4 v5 v6
u1 0.535 0.111 0.241 0.091 0.185 0.156 u25 0.515 0.673 0.631 0.511 0.492 0.865
u2 0.398 0.481 0.667 0.382 0.630 0.594 u26 0.468 0.582 0.468 0.600 0.569 0.676
u3 0.000 0.037 0.037 0.400 0.000 0.094 u27 0.073 0.145 0.258 0.089 0.169 0.338
u4 0.040 0.296 0.037 0.000 0.000 0.000 u28 0.107 0.127 0.071 0.322 0.138 0.041
u5 0.242 0.111 0.278 0.436 0.407 0.281 u29 0.094 0.145 0.103 0.211 0.185 0.378
u6 0.242 0.185 0.204 0.127 0.074 0.094 u30 0.661 0.255 0.528 0.256 0.692 0.459
u7 0.636 1.000 0.870 0.982 0.963 0.844 u31 0.172 0.400 0.238 0.044 0.108 0.216
u8 0.562 0.509 0.274 0.433 0.615 0.527 u32 0.056 0.018 0.155 0.033 0.092 0.270
u9 0.189 0.273 0.067 0.311 0.185 0.270 u33 0.107 0.018 0.067 0.644 0.108 0.041
u10 0.043 0.018 0.139 0.033 0.046 0.135 u34 0.000 0.309 0.012 0.022 0.000 0.014
u11 0.082 0.073 0.032 0.489 0.123 0.257 u35 0.768 0.327 0.746 0.833 0.862 0.635
u12 0.069 0.055 0.198 0.122 0.062 0.162 u36 0.661 0.291 0.563 0.678 0.246 0.649
u13 0.163 0.236 0.063 0.289 0.185 0.203 u37 0.099 0.055 0.091 0.167 0.538 0.095
u14 0.292 0.509 0.230 0.278 0.385 0.459 u38 0.210 0.055 0.206 0.144 0.077 0.176
u15 0.592 0.436 0.563 0.489 0.585 0.514 u39 0.236 0.091 0.282 0.222 0.815 0.149
u16 0.197 0.291 0.111 0.311 0.369 0.311 u40 0.000 0.400 0.028 0.011 0.000 0.081
u17 0.099 0.218 0.048 0.178 0.169 0.203 u41 0.768 0.345 0.167 0.644 0.200 0.203
u18 0.498 0.509 0.194 0.233 0.308 0.446 u42 0.176 0.200 0.071 0.067 0.708 0.135
u19 0.682 0.418 0.433 0.389 0.385 0.568 u43 0.288 0.727 0.524 0.233 0.308 0.784
u20 0.558 0.600 0.421 0.556 0.554 0.716 u44 0.468 0.418 0.544 0.611 0.600 0.635
u21 0.167 0.182 0.377 0.122 0.169 0.378 u45 0.026 0.364 0.048 0.022 0.015 0.081
u22 0.322 0.782 0.294 0.344 0.508 0.419 u46 0.077 0.055 0.226 0.056 0.046 0.108
u23 0.313 0.455 0.187 0.178 0.431 0.392 u47 0.000 0.000 0.036 0.522 0.015 0.000
u24 0.262 0.418 0.385 0.233 0.231 0.554
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