基于优势距离指数的变精度直觉模糊粗糙集模型及应用

发布时间：2019-02-25 15:36

【摘要】：现实的多属性决策信息系统包含大量的偏好信息、模糊信息、噪声数据,而基于传统的粗糙集模型难以有效处理此类决策问题,鉴于此,本文构建了一种新的变精度直觉模糊粗糙集模型。该方法,首先针对直觉模糊信息系统中直觉模糊数存在的问题,定义了直觉模糊优势距离指数,并利用其确定对象的优劣关系,进而以优势距离指数构建了变精度直觉模糊粗糙集模型;而后研究了模型的性质,最后以信息系统安全审计风险识别验证所提出模型的有效性与合理性。结果表明,通过调整直觉模糊优势距离指数的阀值和置信参数的阀值模型具有一定容错能力,且模型能够有效地处理含有偏好信息的直觉模糊信息系统,有效地提取决策规则。
[Abstract]:The real multi-attribute decision making information system contains a lot of preference information, fuzzy information and noise data, but it is difficult to deal with this kind of decision problem effectively based on the traditional rough set model. In this paper, a new intuitionistic fuzzy rough set model with variable precision is constructed. In this method, aiming at the problem of intuitionistic fuzzy number in intuitionistic fuzzy information system, we define the distance index of intuitionistic fuzzy dominant distance, and use it to determine the relation between pros and cons of the object. Furthermore, a variable precision intuitionistic fuzzy rough set model is constructed based on the dominant distance index. Then the properties of the model are studied. Finally, the validity and rationality of the proposed model are verified by the risk identification of information system security audit. The results show that the valve value model by adjusting the valve value of the intuitionistic fuzzy dominant distance index and the confidence parameter has some fault tolerance, and the model can effectively deal with the intuitionistic fuzzy information system with preference information and extract the decision rules effectively.
【作者单位】：江南大学商学院;江南大学中国物联网战略研究基地;
【基金】：国家自然科学基金资助项目(71173104) 国家社科基金资助重点项目(12AZD111) 江苏省高校哲学社会科学资助重点项目(2013ZDIXM019) 江苏省社会科学基金资助项目(14GLC008) 教育部人文社会科学青年基金资助项目(13YJC630120) 中国物联网发展战略研究基地资助项目(133930)
【分类号】：O159;O225

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