管理工程学报2017，Vol.31Issue(3)：134-141,8.DOI:10.13587/j.cnki.jieem.2017.03.016
基于优势距离指数的变精度直觉模糊粗糙集模型及应用
Variable precision intuitionistic fuzzy rough set model and application based on dominance distance index
摘要
Abstract
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.关键词
偏好信息/直觉模糊数/优势距离指数/直觉模糊粗糙集Key words
Preference information/Intuitionistic fuzzy number/Dominance distance index/Intuitionistic fuzzy rough set model分类
管理科学引用本文复制引用
刘勇,钱吴永..基于优势距离指数的变精度直觉模糊粗糙集模型及应用[J].管理工程学报,2017,31(3):134-141,8.基金项目
国家自然科学基金资助项目(71173104) （71173104）
国家社科基金资助重点项目(12AZD111) （12AZD111）
江苏省高校哲学社会科学资助重点项目(2013ZDIXM019) （2013ZDIXM019）
江苏省社会科学基金资助项目(14GLC008) （14GLC008）
教育部人文社会科学青年基金资助项目(13YJC630120) （13YJC630120）
中国物联网发展战略研究基地资助项目(133930) （133930）
