Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (9): 249-253.

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Two-tuple linguistic rough operator and application in linguistic multi-attribute decision making

YU Gaofeng1,2, LIU Wenqi1, SHI Mengting1   

  1. 1.School of Science, Kunming University of Science and Technology, Kunming 650093, China
    2.School of Information, Sanming University, Sanming, Fujian 365004, China
  • Online:2014-05-01 Published:2014-05-14

二元语义粗算子及其语言多属性决策中的应用

余高锋1,2,刘文奇1,石梦婷1   

  1. 1.昆明理工大学 理学院,昆明 650093
    2.三明学院 数学与信息工程学院,福建 三明 365004

Abstract: Aiming at the linguistic multi-attribute decision making, this paper proposes multi-attribute decision making method based on two-tuple linguistic information processing and rough set. The decision-making information form is established using standard linguistic assessment information, and the objective weights are calculated by using attribute significance degree and information degree. The subjective weights are calculated by using the weighted averaging operator for two-tuple linguistic; subjective weights and objective weights are integrated into comprehensive weight  based  on the decision maker’s preferences; two-tuple linguistic rough operator is defined by combining the known information aggregation operator and the normalized  linguistic appraisal information, which is transformed into  the form of  two-tuple linguistic; one example is given to illustrate the application of two-tuple linguistic rough operator.

Key words: two-tuple linguistic, rough set, multi-attribute decision making

摘要: 针对语言多属性决策,提出一种基于二元语言信息处理和粗糙集理论的求解方法。利用规范的语言评价信息建立决策信息表,提出了一种由属性依赖度和信息度来形成属性客观权重的方法,通过二元语义集成算子计算属性的主观权;根据决策者的偏好,将各属性的主客观权重信息集成,得到属性综合权重;将规范化的语言评价信息转化为二元语言形式,并与已有的信息集结算子合成,得到二语义粗算子;举例说明二元语义粗算子的应用。

关键词: 二元语义, 粗糙集, 多属性决策