直觉模糊Power交叉影响算子及其应用  

Intuitionistic fuzzy power interaction averaging operator and its application to group decision making

作　　者：何迎东[1] 陈华友[1] 周礼刚[1] 刘金培[2] 

机构地区：[1]安徽大学数学科学学院,合肥230601 [2]安徽大学商学院,合肥230601

出　　处：《计算机工程与应用》2015年第2期213-217,264,共6页Computer Engineering and Applications

基　　金：国家自然科学基金(No.71071002);安徽省高等学校自然科学基金(No.KJ2012A026);安徽大学学术创新团队资助(No.KJTD001B;No.SKTD007B);教育部高等学校博士点基金(No.20123401110001);留学回国人员科研启动项目;安徽省自然科学基金(No.1308085QG127);安徽省教育厅人文社科项目(No.SK2013B041)

摘　　要：将Power算子推广到直觉模糊环境中,提出了直觉模糊Power交叉影响平均算子,考虑了不同直觉模糊集的隶属度与非隶属度之间可能存在的交叉影响,根据数学归纳法得到了其具体计算公式,并研究了其性质。实例说明了新的集成算子在多属性群决策应用中的有效性。将提出的算子与现存的直觉模糊Power平均算子做了稳定性比较。Considering that there may exist some interactions between membership function and non-membership function of different intuitionistic fuzzy sets,this paper generalizes the Power operator to intuitionistic fuzzy environment and presents the intuitionistic fuzzy power interaction average operator.The properties of the operator are investigated.An example is illustrated to show the feasibility and validity of the new operator in the application of group decision making problems. It makes a comparison on stability between the proposed operator and the existing intuitionistic fuzzy power averaging operator.

关 键 词：直觉模糊集 Power交叉影响平均算子 有效性 群决策 

分 类 号：O23[理学—运筹学与控制论]