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Public culture performance evaluation method based on hesitant fuzzy four-stage DEA

An efficiency evaluation and public technology, applied in the direction of data processing applications, instruments, complex mathematical operations, etc., to achieve the effect of accurate evaluation of public cultural effectiveness

Pending Publication Date: 2022-06-17
XI'AN POLYTECHNIC UNIVERSITY
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  • Application Information

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Problems solved by technology

Through the four-stage preference DEA model, the evaluation value of the public cultural effectiveness of each venue is calculated, which effectively solves the problem of stro

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  • Public culture performance evaluation method based on hesitant fuzzy four-stage DEA
  • Public culture performance evaluation method based on hesitant fuzzy four-stage DEA
  • Public culture performance evaluation method based on hesitant fuzzy four-stage DEA

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[0062]以下结合附图及实施例对本发明进一步叙述,但本发明不局限于以下实施例。

[0063]本发明的核心思想是:在公共文化效能评估的过程中,通过建立犹豫模糊集将专家打分更为全面的量化,得出各公共文化指标的主观权重;通过DEA模型计算得出各公共文化指标的客观权重。通过将主客观权重相结合的方式,计算得出各公共文化指标的综合权重,并最终通过所建立的四阶段偏好DEA模型计算得出各场馆的公共文化效能评估值。该方法所得到的公共文化效能评估值相较于传统的公共文化效能评估方法更为准确,且更具有科学客观性。

[0064]所述公共文化效能评估,指运用科学的方法,对一定时期内各地区公共文化服务中如图书馆、博物馆、群艺馆等相关场馆的资源投入、服务效果以及效率进行定性和定量的对比分析,做出真实、客观、公正的综合评价;

[0065]所述犹豫模糊元素,是指在犹豫模糊集A={<x,hA(x)|x∈X>}中,称h=hA(x)为犹豫模糊元素,其中hA(x)是[0,1]中一些数值的集合。

[0066]所述DEA方法,是指基于“相对效率评价概念发展而来的一种新的系统分析方法。它的实质是运用数学规划模型比较“同类型”的决策单元之间的相对效率,在此基础上实现对各个决策单元的综合分析。DEA方法以相对效率为基础按多指标“投入”和多指标“产出”形式对同类型单位的相对有效性进行评价,是基于一组标准来确定相对有效生产前沿面的方法。

[0067]图1为本发明的方法流程图,如图1所示,具体算法流程说明如下:

[0068]步骤1,考虑指标关联性以及不同地区差异性,遵循公益性、基本性、均等性以及便利性的原则,建立公共文化指标体系。根据对公共文化效能评估值所影响的导向不同,进一步将公共文化指标体系分为两个部分:投入指标xij、产出指标yij。其中i与j分别表示第i个场馆第j项指标。

[0069]步骤2,将w项公共文化指标,用一个非空的离散指标集Z={Z1,Z2,...,Zw}来表示,则Z上的犹豫模糊偏好关系H用矩阵H=(hij)w×w表示,其中是犹豫模糊元素,表示公共文化指标Zi优于公共文化指标Zj的所有可能程度。hij需满足

[0070]同时设Dk(k=1,2,…,p0)为公共文化效能评估专家组的集合,专家组Dk提供每对公共文化指标间所有可能的偏好值,并建立犹豫模糊偏好关系

[0071]步骤21,利用HFA算子集成指标Zi...

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Abstract

The invention discloses a public culture performance evaluation method based on hesitant fuzzy four-stage DEA, and the method comprises the steps: building a public culture performance evaluation algorithm model based on the hesitant fuzzy four-stage DEA, and carrying out the quantification of expert scoring through a hesitant fuzzy set, and obtaining the subjective weight of a public culture index; and combining the public culture index objective weight with the public culture index objective weight calculated by the DEA model, calculating to obtain the comprehensive weight of each public culture index, and finally calculating to obtain the public culture performance evaluation value of each venue through the established four-stage preference DEA model. Compared with a traditional public culture performance evaluation method, the public culture performance evaluation value obtained through the method is more accurate and more scientific and objective.

Description

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Claims

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Application Information

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IPC IPC(8): G06Q10/06G06Q50/26G06F17/18
CPCG06Q10/06393G06Q50/26G06F17/18
Inventor 闫慧邵连合高全力冯琛赵立飞郭帅金磊
Owner XI'AN POLYTECHNIC UNIVERSITY