摘要
针对隐私风险的不确定性决策问题,在直觉模糊和集对分析理论基础上,对隐私确定-不确定建立信息权重的集对关系,给出了直觉模糊集对(IFSPA:Intuitionistic Fuzzy Set Pair Analysis)算子,定义了直觉模糊集对的相关概念、运算、性质、期望值、大小排序和几种直觉模糊集对信息集结算子:直觉模糊集对加权平均(IFSPAWA:Intuitionistic Fuzzy Set Pair Analysis Weighted Average)算子、直觉模糊集对加权儿何(IFSPAWG:Intuitionistic Fuzzy Set Pair Analysis Weighted Geometric)算子、直觉模糊集对有序加权(IFSPAOWA:Intuitionistic Fuzzy Set Pair Analysis Ordered Weighted Average)算子、直觉模糊集对有序加权几何(IFSPAOWG:Intuitionistic Fuzzy Set Pair Analysis Ordered Weighted Geometric)算子、直觉模糊集对混合集结(IFSPAHA:Intuitionistic Fuzzy Set Pair Analysis Hybrid Aggregation)算子、直觉模糊集对混合几何(IFSPAHG:Intuitionistic Fuzzy Set Pair Analysis Hybrid Geometric)算子及这些算子相关性质.在此基础上,分析了隐私风险多属性决策的直觉模糊集对信息集结方法,并通过算例验证了该方法的可行性和合理性.
Abstract
For the uncertainty decision-making problem of privacy risk,based on the theories of intuitionistic fuzzy and set pair analysis,a set pair relationship of information weights is established for privacy certainty &uncertainty.The intuitionistic fuzzy set pair operator is provided,and the relevant concepts,operations,properties,expected values,size ranking,and several intuitionistic fuzzy set pair information aggregation operators are defined,including Intuitionistic fuzzy set pair analysis operators,intuitionistic fuzzy set pair analysis weighted average operators,intuitionistic fuzzy set pair analysis weighted geometric operators,intuitionistic fuzzy set pair analysis ordered weighted average operators,intuitionistic fuzzy set pair analysis ordered weighted geometric operators,intuitionistic fuzzy set pair analysis hybrid aggregation operators,intuitionistic fuzzy set pair analysis hybrid geometric operators and their related properties.On this basis,the intuitionistic fuzzy set pair information aggregation method for privacy risk multi-attribute decision-making is analyzed,and it shows that the proposed method has feasibility and rationality.
基金项目
甘肃省档案科技基金资助项目(GS-2020-X-05)
教育部科技发展中心产学研创新基金资助项目(2018C01035)
甘肃省自然科学基金资助项目(20JR10RA142)
甘肃省高等学校创新基金资助项目(2022B-263)
甘肃省高等学校产业支撑引导基金资助项目(2019C-09)
维普
万方数据