Facing today's fiercely competitive market,businesses or individuals often encounter complex decision-making processes concerning uncertainty,and need to analyze and deal with various uncertainties,such as randomness,fuzziness,preferences,roughness,and making immediate decisions.However,only a theory or method based on soft computing technology handles many uncertain decision-making problems.Some soft computing technologies,such as rough set theory,fuzzy set theory,and their complementary advantages,can be used to flexibly deal with uncertainties in real life.Rough set is a new mathematic tool to deal with various incomplete information that is inaccurate,inconsistent,and incomplete.The tool possesses its advantages,disadvantages,and scope of application.It has difficulties in dealing with some uncertain decision-making problems.Therefore,according to a variety of uncertainties in the practical application of knowledge representation systems,the advantages of the rough set theory can be integrated with those of other soft technology theories to construct a more powerful hybrid method.The method can assist the soft decision-making process,broaden the scope of the rough set theory application,and provide a wide range of scientific and standard methods for making uncertain decisions.With respect to the multi-attribute decision making problems,there always exists a lot of preference information,fuzzy information,and noise data in the information system.The method of intuitionistic fuzzy set,variable precision rough set model,and dominance relationship are used to construct a novel variable precision intuitionistic fuzzy rough set model.The example of risk identification on the safety audit of the information system is exploited to illustrate the validity and rationality of the proposed model.In the first part,with respect to the exiting shortcoming of the comparison of the intuitionistic fuzzy number in the intuitionistic fuzzy information system,the intuitionistic fuzzy dominance distance index is defined to determine the dominance relationship between objects.A comparison of intuitioinstic fuzzy numbers is made.In the second part,based on the dominance relationship variable precision intuitionistic fuzzy rough set model is established,and the natures of the hybrid model is studied.Finally,an example illustrates the effectiveness and applicability of the model.The result shows that the hybrid model has a certain tolerant ability by adjusting the threshold parameters of the intuitionistic fuzzy dominance distance index and confidence.It can effectively extract decision-making rules,and deal with the intuitionistic fuzzy information system with preference information.In summary,the proposed model can be used to deal with the multi-attribute decision making problems that contain lots of preference information,fuzzy information,and noise data in the decision support systems.Thus,it can help improve the quality and efficiency of decision-making,and achieve decision-making goals.%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.
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