犹豫模糊语言集结算子及其在多属性群决策中的应用

发布时间：2019-06-28 19:10

【摘要】：犹豫模糊语言术语集是在犹豫模糊集和语言术语集的基础上,建立的一种更为合理的处理定性信息的方法。属性变量为犹豫模糊语言的群决策问题是近年来决策科学的一个研究热点,采用算子进行信息集结是解决该问题的一种有效方法。本文将幂几何算子引入到犹豫模糊语言变量环境下,定义了犹豫模糊语言加权幂几何算子、犹豫模糊语言加权幂有序几何算子、犹豫模糊语言线性加权幂有序几何算子,并探讨了它们的相关性质和特例。新算子通过综合考虑变量位置和自身重要性及相互间的支撑度,从而使决策结果更加令人信服。基于上述算子,论文还提出一种犹豫模糊语言多属性群决策方法,并通过数值案例验证方法的可行性和有效性。
[Abstract]:Hesitant fuzzy language term set is a more reasonable method to deal with qualitative information on the basis of hesitant fuzzy set and linguistic term set. The group decision problem with attribute variable as hesitant fuzzy language is a hot research topic in decision science in recent years. Using operator to aggregate information is an effective method to solve this problem. In this paper, the power geometry operator is introduced into the environment of hesitant fuzzy language variables. The hesitant fuzzy language weighted power geometric operator, the hesitant fuzzy language weighted power ordered geometric operator and the hesitant fuzzy language linear weighted power ordered geometric operator are defined, and their related properties and special cases are discussed. By considering the position of variables, their own importance and their mutual support, the new operator makes the decision results more convincing. Based on the above operators, this paper also proposes a hesitant fuzzy language multi-attribute group decision making method, and verifies the feasibility and effectiveness of the method through numerical cases.
【作者单位】：上海理工大学管理学院;皖西学院金融与数学学院;皖西学院金融风险智能控制与预警研究中心;
【基金】：国家自然科学基金资助项目(11171221) 安徽省高校人文社会科学重点研究项目(SK2015A563) 安徽省自然科学基金资助项目(1508085QA04) 安徽省高校省级自然科学研究重点项目(KJ2016A742;KJ2017A402) 安徽省优秀青年人才基金资助项目(gxyq2017058)
【分类号】：O159;O225

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