#### 期刊菜单

Research on the Community Service Evaluation System Based on the AHP-Fuzzy Comprehensive Evaluation Method

Abstract: In view of the development practice and current situation of community service in China, following the principles of scientificity, authenticity and operability, the evaluation index system of community service is constructed, and the weight distribution and consistency test of each index are carried out by using AHP analytic hierarchy process. According to the results of fuzzy comprehensive evaluation method, the comprehensive score of community service index satisfaction is 76.922 points, which is between “relatively satisfied” and “basically satisfied”, indicating that residents have good evaluation of community service, but there is still room for improvement.

1. 引言

2. 我国社区服务现状

3. 社区服务共性问题及指标构建意义

4. 社区服务评估指标体系的选取

4.1. 弱势群体扶持

4.2. 医疗卫生服务

4.3. 文化教育工作

4.4. 社区就业服务

5. 社区服务评估实证分析

5.1. 运用AHP层次分析法确定指标权重

AHP层次分析法，是一种系统性、层次性的定性与定量相结合的方法，确定各级指标权重系数的方法 [7]。影响社区服务评价指标的重要程度各不相同。例如，在四个一级指标中，弱势群体帮扶和医疗卫生服务相对更重要，弱势群体和老年人对社区服务的需求更多，其中老年人养老服务和残疾人救助、疾病预防控制在三级指标中相对其他指标更为重要。通过权重分配，可得知居民对社区服务的高需求因素，也可使得社区服务评价更具有客观性。AHP具体操作和步骤如下所示：

5.1.1. 社区服务评估指标构建

Table 1. Community service evaluation index system

5.1.2. 构造判断矩阵

1) 社区服务判断矩阵A-B：

$\begin{array}{l}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ }\text{\hspace{0.17em}}\text{B}1\text{ }\text{ }\text{\hspace{0.17em}}\text{ }\text{ }\text{B}2\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{ }\text{B}3\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{ }\text{ }\text{B}4\\ \begin{array}{c}\begin{array}{c}\text{B}1\\ \text{B}2\end{array}\\ \begin{array}{c}\text{B}3\\ \text{B}4\end{array}\end{array}\left[\begin{array}{cccc}1& 1/7& 1/2& 1/5\\ 7& 1& 4& 2\\ 2& 1/4& 1& 1/3\\ 5& 1/2& 3& 1\end{array}\right]\end{array}$

2) 弱势群体扶持判断矩阵B1-C：

$\begin{array}{l}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ }\text{\hspace{0.17em}}\text{C}1\text{ }\text{ }\text{\hspace{0.17em}}\text{ }\text{\hspace{0.17em}}\text{ }\text{C}2\text{\hspace{0.17em}}\text{ }\text{ }\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{C}3\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{ }\text{ }\text{C}4\\ \begin{array}{c}\begin{array}{c}\text{C}1\\ \text{C}2\end{array}\\ \begin{array}{c}\text{C}3\\ \text{C}4\end{array}\end{array}\left[\begin{array}{cccc}1& 5& 3& 7\\ 1/5& 1& 1/3& 2\\ 1/3& 3& 1& 4\\ 1/7& 1/2& 1/4& 1\end{array}\right]\end{array}$

3) 医疗卫生服务判断矩阵B2-C：

$\begin{array}{l}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ }\text{\hspace{0.17em}}\text{C}5\text{ }\text{ }\text{\hspace{0.17em}}\text{ }\text{\hspace{0.17em}}\text{ }\text{C}6\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{ }\text{C}7\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{C}8\\ \begin{array}{c}\begin{array}{c}\text{C}5\\ \text{C}6\end{array}\\ \begin{array}{c}\text{C}7\\ \text{C}8\end{array}\end{array}\left[\begin{array}{cccc}1& 5& 8& 4\\ 1/5& 1& 2& 1/2\\ 1/8& 1/2& 1& 1/7\\ 1/4& 2& 7& 1\end{array}\right]\end{array}$

4) 文化教育工作判断矩阵B3-C：

$\begin{array}{l}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{ }\text{ }\text{\hspace{0.17em}}\text{C}9\text{ }\text{ }\text{\hspace{0.17em}}\text{ }\text{\hspace{0.17em}}\text{C}10\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{C}11\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{C}12\\ \begin{array}{c}\begin{array}{c}\text{C}9\\ \text{C}10\end{array}\\ \begin{array}{c}\text{C}11\\ \text{C}12\end{array}\end{array}\left[\begin{array}{cccc}1& 6& 4& 7\\ 1/6& 1& 1/2& 3\\ 1/4& 2& 1& 5\\ 1/7& 1/3& 1/5& 1\end{array}\right]\end{array}$

5) 社区就业服务判断矩阵B4-C：

$\begin{array}{l}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{\hspace{0.17em}}\text{C}13\text{ }\text{ }\text{\hspace{0.17em}}\text{ }\text{C}14\text{\hspace{0.17em}}\text{ }\text{ }\text{ }\text{C}15\\ \begin{array}{c}\begin{array}{c}\text{C}13\\ \text{C}14\end{array}\\ \text{C}15\end{array}\left[\begin{array}{ccc}1& 6& 7\\ 1/6& 1& 3\\ 1/7& 1/3& 1\end{array}\right]\end{array}$

5.1.3. 层次单排序及其一致性检验

1) 判断矩阵A-B，B1-C，B2-C，B3-C，B4-C的λmax

${\lambda }_{\mathrm{max}}=\left\{\begin{array}{c}4.0293\\ 4.0703\\ 4.0201\\ 4.0259\\ 3.0999\end{array}\right\}$

2) 判断矩阵A-B，B1-C，B2-C，B3-C，B4-C的CR值：

$\text{CR}=\left\{\begin{array}{c}0.0108\\ 0.0260\\ 0.0744\\ 0.0763\\ 0.0861\end{array}\right\}$

3) 计算得出各个判断矩阵的权重

${W}_{\text{A-B}}=\left(0.0643,0.5089,0.1188,0.3078\right)$

${W}_{\text{B1-C}}=\left(0.5731,0.1081,0.2532,0.0654\right)$

${W}_{\text{B2-C}}=\left(0.6027,0.1133,0.0520,0.2318\right)$

${W}_{\text{B3-C}}=\left(0.6125,0.1203,0.2139,0.0531\right)$

${W}_{\text{B4-C}}=\left(0.7504,0.1713,0.0782\right)$

5.2. 模糊综合评价法

5.2.1. 建立评语集及评语等级划分

5.2.2. 建立第二级评价矩阵

Table 2. Community service evaluation index percentage

5.2.3. 建立模糊关系隶属度矩阵

${R}_{1}=\left\{\begin{array}{cccc}0.15& 0.5& 0.2& 0.15\\ 0.15& 0.25& 0.4& 0.2\\ 0.2& 0.3& 0.25& 0.25\\ 0.15& 0.35& 0.3& 0.2\end{array}\right\},\text{\hspace{0.17em}}\text{\hspace{0.17em}}{R}_{2}=\left\{\begin{array}{cccc}0.25& 0.25& 0.35& 0.15\\ 0.1& 0.25& 0.4& 0.25\\ 0.15& 0.35& 0.3& 0.2\\ 0.25& 0.4& 0.25& 0.1\end{array}\right\}$

${R}_{3}=\left\{\begin{array}{cccc}0.15& 0.2& 0.4& 0.25\\ 0.1& 0.35& 0.4& 0.15\\ 0.2& 0.4& 0.3& 0.1\\ 0.25& 0.35& 0.25& 0.15\end{array}\right\},\text{\hspace{0.17em}}\text{\hspace{0.17em}}{R}_{4}=\left\{\begin{array}{cccc}0.25& 0.4& 0.2& 0.15\\ 0.2& 0.3& 0.3& 0.2\\ 0.25& 0.3& 0.25& 0.2\end{array}\right\}$

${C}_{1}={W}_{1}×{R}_{1}=\left(\begin{array}{cc}\begin{array}{cc}0.163& 0.412\end{array}& \begin{array}{cc}0.241& 0.184\end{array}\end{array}\right)$

${C}_{2}={W}_{2}×{R}_{2}=\left(\begin{array}{cc}\begin{array}{cc}0.228& 0.290\end{array}& \begin{array}{cc}0.330& 0.152\end{array}\end{array}\right)$

${C}_{3}={W}_{3}×{R}_{3}=\left(\begin{array}{cc}\begin{array}{cc}0.160& 0.269\end{array}& \begin{array}{cc}0.371& 0.201\end{array}\end{array}\right)$

${C}_{4}={W}_{4}×{R}_{4}=\left(\begin{array}{ccc}0.241& 0.375& \begin{array}{cc}0.221& 0.162\end{array}\end{array}\right)$

$C=W×R=\left(\begin{array}{ccc}0.220& 0.322& \begin{array}{cc}0.295& 0.163\end{array}\end{array}\right)$

$\text{SUM}={V}_{i}×C=95×0.220+80×0.322+70×0.295+50×0.163=76.922$

6. 结论

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