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三参数区间数集成算子及决策应用
引用本文:刘卫锋.三参数区间数集成算子及决策应用[J].湖南农业大学学报(自然科学版),2014(4):96-101.
作者姓名:刘卫锋
作者单位:(郑州航空工业管理学院 数理系,河南 郑州 450015)
摘    要:研究了三参数区间数信息集成算子及其在决策中的应用.首先,给出了三参数区间数的有序加权CP-OWA算子、有序加权CP-OWG算子及广义有序加权CP-OWA算子和广义有序加权CP-OWG算子的概念,并初步探讨了它们的性质,推广了相关文献中的三参数区间数加权CP-OWA算子和加权CP-OWG算子.然后,通过方案三参数区间数属性值的可能度得到方案属性值可能度矩阵,进而根据可能度矩阵的排序向量实现方案三参数区间数属性值的排序,并通过文中定义的三参数区间数信息集成算子进行信息集成,实现方案排序择优.

关 键 词:多属性决策  三参数区间数  集成算子  可能度

Aggregation Operators of Three-parameters Interval Number and Applications to Decision-making
LIU Wei-feng.Aggregation Operators of Three-parameters Interval Number and Applications to Decision-making[J].Journal of Hunan Agricultural University,2014(4):96-101.
Authors:LIU Wei-feng
Institution:(Department of Mathematics and Physics, Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou, Henan 450015, China)
Abstract:Several aggregation operators of three-parameters interval numbers and their applications to decision-making were investigated. Firstly, ordered weighted CP-OWA, ordered weighted CP-OWG, generalized ordered weighted CP-OWA and generalized ordered weighted CP-OWG of three-parameters interval number were defined, their natures were studied, and weighted CP-OWA and weighted CP-OWG of three-parameters interval number in related reference were generalized. Then, the decision-making method was proposed by combined possibility degrees of three-parameters interval numbers on attribute values of alternatives with aggregation operators of three-parameters interval number defined in this paper.
Keywords:multiple attribute decision-making  three-parameters interval number  aggregation operator  possibility degree
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