A new intuitionistic fuzzy scheme of data envelopment analysis for evaluating rural comprehensive health service centers

IF 6.2 2区经济学 Q1 ECONOMICS Socio-economic Planning Sciences Pub Date : 2024-06-26 DOI:10.1016/j.seps.2024.102004

Ali Mahmoodirad , Dragan Pamucar , Sadegh Niroomand

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Abstract

In this study, the classical CCR-IO DEA model (an input-oriented form of the DEA model of Charnes, Cooper, and Rhodes (1978)) is extended to an intuitionistic fuzzy environment. For this aim, the trapezoidal intuitionistic fuzzy numbers are used to show the values of inputs and outputs. An intuitionistic fuzzy number is characterized by membership, non-membership, and hesitancy degrees. Therefore, such type of fuzzy numbers is more complete and contains more information to reflect a fuzzy type of uncertainty comparing to the conventional fuzzy values. In order to solve the proposed intuitionistic fuzzy CCR-IO model, for the first time a possibility-based approach is developed for the intuitionistic fuzzy DEA models. In this approach for the first time the measure of fuzzy events is extended to intuitionistic fuzzy DEA models, therefore, some new definitions and propositions are presented and clarified. This measure is more flexible and effective comparing to the other measures such as credibility, necessity, and possibility measures. A case study from the health care sector of Iran is considered to evaluate the proposed solution approach numerically. The case study is solved under different scenarios, a full sensitivity analysis is performed, and finally some useful managerial insights are presented. In addition, the results of the proposed intuitionistic CCR-IO model are compared to the classical models of the literature.

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用于评价农村综合卫生服务中心的数据包络分析直觉模糊新方案

在本研究中，经典的 CCR-IO DEA 模型（Charnes、Cooper 和 Rhodes（1978 年）DEA 模型的一种以输入为导向的形式）被扩展到直觉模糊环境中。为此，我们使用梯形直观模糊数来表示输入和输出的值。直观模糊数的特征是成员度、非成员度和犹豫度。因此，与传统的模糊值相比，这类模糊数更完整，包含更多信息，能反映模糊类型的不确定性。为了解决所提出的直觉模糊 CCR-IO 模型，我们首次为直觉模糊 DEA 模型开发了一种基于可能性的方法。在这种方法中，模糊事件的度量首次扩展到了直观模糊 DEA 模型，因此提出并阐明了一些新的定义和命题。与可信度、必要性和可能性等其他度量方法相比，这种度量方法更加灵活有效。为了对所提出的解决方法进行数字评估，我们考虑了伊朗医疗保健行业的一个案例研究。该案例研究在不同情况下进行求解，并进行了全面的敏感性分析，最后提出了一些有用的管理见解。此外，还将所提出的直观 CCR-IO 模型的结果与文献中的经典模型进行了比较。

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来源期刊

Socio-economic Planning Sciences OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

9.40

自引率

13.10%

发文量

294

审稿时长

58 days

期刊介绍： Studies directed toward the more effective utilization of existing resources, e.g. mathematical programming models of health care delivery systems with relevance to more effective program design; systems analysis of fire outbreaks and its relevance to the location of fire stations; statistical analysis of the efficiency of a developing country economy or industry. Studies relating to the interaction of various segments of society and technology, e.g. the effects of government health policies on the utilization and design of hospital facilities; the relationship between housing density and the demands on public transportation or other service facilities: patterns and implications of urban development and air or water pollution. Studies devoted to the anticipations of and response to future needs for social, health and other human services, e.g. the relationship between industrial growth and the development of educational resources in affected areas; investigation of future demands for material and child health resources in a developing country; design of effective recycling in an urban setting.