基于折衷型变权向量的直觉语言决策方法  

Compromise type variable weight vector based method Intuitionistic linguistic making decision

作　　者：余高锋[1] 刘文奇[2] 李登峰[3] 

机构地区：[1]三明学院信息工程学院,福建三明365004 [2]昆明理工大学理学院,昆明650093 [3]福州大学经济与管理学院,福州350108

出　　处：《控制与决策》2015年第12期2233-2240,共8页Control and Decision

基　　金：国家自然科学基金重点项目(71231003);国家自然科学基金项目(71171055;61573173);福建省自然科学基金项目(2015J01287);福建省教育厅科技项目(JA14295)

摘　　要：研究一种基于折衷型变权向量的直觉语言决策方法.首先,定义折衷型变权向量,提出与之对应的状态变权向量;其次,研究利用马氏效用函数诱导出折衷型变权向量;再次,定义直觉语言变量运算法则和大小比较方法,提出直觉语言信息变权加权平均算子和直觉语言信息变权加权几何平均算子,进而提出一种初始属性权重确定且属性值以直觉语言形式给出的多属性决策方法;最后,通过实例表明了所提出方法的有效性和合理性.An intuitionistic linguistic making decision method based on the compromise type variable weight vector is proposed. Firstly, The definition of the compromise type variable weight vector is proposed, the state weight vector of this variable weight is discussed, and the compromise type variable weight vector is induced by using the Markov utility function.Then, some operational laws and comparison criteria of the intuitionistic linguistic variable are defined and the properties of comparison criteria of the intuitionistic linguistic variable are presented. Based on these operational laws, some aggregation operators are proposed, including the intuitionistic linguistic information variable weighted arithmetic averaging operator and the intuitionistic linguistic information variable weighted geometric averaging operator. Based on these operators, an approach for solving multi-attribute group decision making problems is proposed, in which the attribute initial weights are known and the attribute values are expressed with the intuitionistic linguistic variable. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed method.

关 键 词：折衷型变权向量 马氏效用函数 直觉语言信息 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]