{"id":1003,"date":"2025-07-05T11:17:29","date_gmt":"2025-07-05T03:17:29","guid":{"rendered":"http:\/\/heqiwei.cn\/?p=1003"},"modified":"2025-07-08T11:40:46","modified_gmt":"2025-07-08T03:40:46","slug":"%e6%95%b0%e5%ad%a6%e5%bb%ba%e6%a8%a1-%e7%86%b5%e6%9d%83%e6%b3%95","status":"publish","type":"post","link":"https:\/\/heqiwei.cn\/index.php\/2025\/07\/05\/%e6%95%b0%e5%ad%a6%e5%bb%ba%e6%a8%a1-%e7%86%b5%e6%9d%83%e6%b3%95\/","title":{"rendered":"\u6570\u5b66\u5efa\u6a21\u2014\u2014\u71b5\u6743\u6cd5"},"content":{"rendered":"\n

\u5bf9\u4e8e\u5305\u542b\u591a\u6e90\u81ea\u53d8\u91cf\u7684\u8bc4\u4ef7\u6a21\u578b\uff0c\u5e38\u4f7f\u7528\u8bc4\u4ef7\u516c\u5f0f\uff1a<\/p>\n\n\n\n

[math]y = \\omega_1x_1 + \\omega_2x_2 + … + \\omega_nx_n[\/math]<\/p>\n\n\n\n

\u4e3a\u6c42\u51fa\u5176\u4e2d\u7684\u6743\u91cd[math]\\omega_i[\/math]\uff0c\u5e76\u8ba1\u7b97\u51fa\u7efc\u5408\u8bc4\u5206[math]y[\/math]\uff0c\u5e38\u7528\u5c42\u6b21\u5206\u6790\u6cd5\u3001\u71b5\u6743\u6cd5\uff0c\u6216CRITIC\u6743\u91cd\u6cd5\u7b49\uff0c\u672c\u6587\u5c06\u4ecb\u7ecd\u5176\u4e2d\u7684\u71b5\u6743\u6cd5\u3002<\/p>\n\n\n\n

\u71b5\u6743\u6cd5\u7684\u539f\u7406<\/h2>\n\n\n\n

\u71b5\u6743\u6cd5\uff08Entropy Weight Method \uff09\u662f\u4e00\u79cd\u5ba2\u89c2\u8d4b\u6743\u65b9\u6cd5\uff08\u5ba2\u89c2 = \u6570\u636e\u672c\u8eab\u5c31\u53ef\u4ee5\u544a\u8bc9\u6211\u4eec\u6743\u91cd\uff09\u3002\u4f9d\u636e\u7684\u539f\u7406\uff1a\u6307\u6807\u7684\u53d8\u5f02\u7a0b\u5ea6<\/mark>\u8d8a\u5927\uff0c\u4e8b\u4ef6\u53d1\u751f\u6982\u7387\u8d8a\u4f4e\uff0c\u4fe1\u606f\u71b5<\/mark>\uff08\u4e8b\u4ef6\u53d1\u751f\u7684\u4e0d\u786e\u5b9a\u6027\uff09\u8d8a\u9ad8\uff0c\u5e94\u5f53\u7ed9\u4e88\u7684\u5173\u6ce8\uff08\u5373\u6743\u91cd\uff09\u4e5f\u5e94\u8be5\u8d8a\u9ad8\u3002<\/p>\n\n\n\n

\u6570\u636e\u6807\u51c6\u5316<\/strong><\/h3>\n\n\n\n

1.\u6b63\u5411\u6307\u6807: [math]x’_{ij} = \\frac{X_{ij} – \\min(X_{1j}, X_{2j}, \\ldots, X_{nj})}{\\max(X_{1j}, X_{2j}, \\ldots, X_{nj}) – \\min(X_{1j}, X_{2j}, \\ldots, X_{nj})}[\/math]<\/p>\n\n\n\n

2.\u8d1f\u5411\u6307\u6807: [math]x’_{ij} = \\frac{\\max(X_{1j}, X_{2j}, \\ldots, X_{nj}) – X_{ij}}{\\max(X_{1j}, X_{2j}, \\ldots, X_{nj}) – \\min(X_{1j}, X_{2j}, \\ldots, X_{nj})}[\/math]<\/p>\n\n\n\n

\u6c42\u5404\u6307\u6807\u5728\u5404\u65b9\u6848\u4e0b\u7684\u6bd4\u503c<\/strong><\/h3>\n\n\n\n

\u5047\u8bbe\u6709 n \u4e2a\u8981\u8bc4\u4ef7\u7684\u5bf9\u8c61\uff0cm \u4e2a\u8bc4\u4ef7\u6307\u6807\uff0c\u8ba1\u7b97\u7b2c j \u9879\u6307\u6807\u4e0b\u7b2c i \u4e2a\u5bf9\u8c61\u6240\u5360\u7684\u6bd4\u91cd\uff0c\u5c06\u5176\u770b\u4f5c\u76f8\u5bf9\u71b5\u8ba1\u7b97\u4e2d\u7528\u5230\u7684\u6982\u7387\u3002<\/p>\n\n\n\n

[math]y_{ij} = \\frac{x’_{ij}}{\\sum_{i=1}^{m} x’_{ij}} \\quad (i = 1,2,\\ldots,n; \\, j = 1,2,\\ldots,m)[\/math]<\/p>\n\n\n\n

\u6c42\u5404\u6307\u6807\u7684\u4fe1\u606f\u71b5<\/strong><\/h3>\n\n\n\n

\u5bf9\u4e8e\u7b2c[math]j[\/math]\u4e2a\u6307\u6807\u800c\u8a00\uff0c\u5176\u4fe1\u606f\u71b5\u7684\u8ba1\u7b97\u516c\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n

[math]e_j = -\\frac{1}{\\ln m} \\sum_{i=1}^{m} y_{ij} \\ln y_{ij}[\/math]<\/p>\n\n\n\n

\u786e\u5b9a\u5404\u6307\u6807\u7684\u6743\u91cd<\/h3>\n\n\n\n

[math]\\omega_j = \\frac{1 – e_j}{m – \\sum_{j=1}^{m} e_j}[\/math]<\/p>\n\n\n\n

\u8ba1\u7b97\u7efc\u5408\u8bc4\u5206<\/h3>\n\n\n\n

[math]S_i = \\sum_{j=1}^{n} y_{ij} \\omega_{ij}[\/math]<\/p>\n\n\n\n

\u603b\u7ed3<\/h2>\n\n\n\n
    \n
  1. \u5f53\u5df2\u77e5\u5404\u4e2a\u6307\u6807\u7684\u6570\u636e\uff0c\u60f3\u4f9d\u636e\u6307\u6807\u7684\u5dee\u5f02\u7a0b\u5ea6\u6765\u6c42\u5404\u6307\u6807\u7684\u6743\u91cd<\/mark>\u65f6\uff0c\u71b5\u6743\u6cd5\u662f\u4e00\u4e2a\u4e0d\u9519\u7684\u9009\u62e9\u3002<\/li>\n\n\n\n
  2. \u71b5\u6743\u6cd5\u662f\u4e00\u4e2a\u57fa\u7840\u7684\u5e38\u7528\u8bc4\u4ef7\u6a21\u578b\uff0c\u5728\u7f8e\u8d5b E \u548c F \u9898\u7684 O \u5956\u8bba\u6587\u4e2d\u5341\u5206\u5e38\u89c1\uff0c\u901a\u5e38\u51fa\u73b0\u5728\u7b2c\u4e00\u95ee\uff0c\u56e0\u4e3a\u8bc4\u4ef7\u6a21\u578b\u662f\u6574\u4e2a\u95ee\u9898\u5206\u6790\u7684\u57fa\u7840\u3002<\/li>\n\n\n\n
  3. \u6bd4\u8d5b\u4e2d\uff0c\u5e38\u7528 SPSSPRO <\/a>\u6765\u5b9e\u73b0\u71b5\u6743\u6cd5\uff0c\u5df2\u7ecf\u8db3\u591f\u7528\u4e86\uff0c\u4e0d\u9700\u8981\u7528 MATLAB \u6216\u8005 Python \u8fd0\u884c\u4ee3\u7801\uff0c\u6548\u7387\u592a\u4f4e\u3002<\/li>\n\n\n\n
  4. \u7531\u4e8e SPSSPRO \u4e0a\u7684\u71b5\u6743\u6cd5\u4f1a\u81ea\u52a8\u5b9e\u73b0\u6307\u6807\u7684\u6b63\u5411\u5316\u548c\u8d1f\u5411\u5316\u5904\u7406\uff0c\u6240\u4ee5\u5728\u8f6f\u4ef6\u64cd\u4f5c\u4e2d\u4e0d\u9700\u8981\u8fdb\u884c\u6570\u636e\u9884\u5904\u7406\uff0c\u76f4\u63a5\u5728\u71b5\u503c\u6cd5\u4e2d\u4ee3\u5165\u6570\u636e\u5c31\u884c\uff0c\u4f46\u5728\u8bba\u6587\u4e2d\u9700\u8981\u5199\u6e05\u695a\u6b63\u5411\u5316\u548c\u8d1f\u5411\u5316\u5904\u7406\u7684\u516c\u5f0f\u548c\u89e3\u91ca<\/mark>\u3002<\/li>\n\n\n\n
  5. \u5728\u8bba\u6587\u5199\u4f5c\u4e2d\uff0c\u53ef\u4ee5\u4f9d\u846b\u82a6\u753b\u74e2\uff0c\u6309\u7167 O \u5956\u8bba\u6587\u7684\u5199\u6cd5\uff0c\u6839\u636e\u76f8\u5e94\u7684\u9898\u76ee\uff0c\u4fee\u6539\u53d8\u91cf\u8bf4\u660e\u5373\u53ef\uff0c\u516c\u5f0f\u53ef\u4ee5\u76f4\u63a5\u7167\u642c\uff0c\u56e0\u4e3a\u6bd4\u8d5b\u53ea\u4f1a\u5bf9\u6587\u5b57\u67e5\u91cd\uff0c\u4e0d\u4f1a\u5bf9\u516c\u5f0f\u548c\u56fe\u7247\u67e5\u91cd\u3002<\/li>\n\n\n\n
  6. \u71b5\u6743\u6cd5\u7684\u7f3a\u70b9\uff1a\u5ffd\u7565\u4e86\u6307\u6807\u672c\u8eab\u91cd\u8981\u7a0b\u5ea6<\/mark>\uff0c\u6709\u65f6\u786e\u5b9a\u7684\u6307\u6807\u6743\u91cd\u4f1a\u4e0e\u9884\u671f\u7684\u7ed3\u679c\u76f8\u5dee\u751a\u8fdc\uff0c\u540c\u65f6\u4e0d\u80fd\u51cf\u5c11\u8bc4\u4ef7\u6307\u6807\u7684\u7ef4\u6570\u3002\u6240\u4ee5\u5728 O \u5956\u8bba\u6587\u4e2d\uff0c\u4f1a\u53d1\u73b0\u8be5\u65b9\u6cd5\u8fd8\u9700\u8981\u8ddf\u5176\u4ed6\u8bc4\u4ef7\u65b9\u6cd5\uff08\u5982\u5c42\u6b21\u5206\u6790\u6cd5\uff09\u8054\u5408\u4f7f\u7528\uff0c\u6765\u5f25\u8865\u81ea\u8eab\u7684\u4e0d\u8db3\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    \u5bf9\u4e8e\u5305\u542b\u591a\u6e90\u81ea\u53d8\u91cf\u7684\u8bc4\u4ef7\u6a21\u578b\uff0c\u5e38\u4f7f\u7528\u8bc4\u4ef7\u516c\u5f0f\uff1a [math]y = \\omega_1x_1 + \\omega_ […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-1003","post","type-post","status-publish","format-standard","hentry","category-19"],"_links":{"self":[{"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/posts\/1003","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/comments?post=1003"}],"version-history":[{"count":21,"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/posts\/1003\/revisions"}],"predecessor-version":[{"id":1544,"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/posts\/1003\/revisions\/1544"}],"wp:attachment":[{"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/media?parent=1003"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/categories?post=1003"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/heqiwei.cn\/index.php\/wp-json\/wp\/v2\/tags?post=1003"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}