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Interval-valued intuitionistic fuzzy aggregation operators

查看全文 作  者:Weize [1]Wang;Xinwang [1]Liu;Yong [2]Qin 高影响力作者 机构地区:[1]School of Economics and Management, Southeast University, Nanjing 210096, E R. China;[2]State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, P. R. China高影响力机构 出  处:《Journal of Systems Engineering and Electronics》索引2012年第23卷第4期,共7页高影响力期刊 基  金:supported by the National Natural Science Foundation of China (71171048);the Scientific Research and Innovation Project for College Graduates of Jiangsu Province (CXZZ11 0185);the Scientific Research Foundation of Graduate School of Southeast University (YBJJ1135);the State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University (RCS2011K002) 摘  要:The notion of the interval-valued intuitionistic fuzzy set (IVIFS) is a generalization of that of the Atanassov's intuitionistic fuzzy set. The fundamental characteristic of IVIFS is that the values of its membership function and non-membership function are intervals rather than exact numbers. There are various averaging operators defined for IVIFSs. These operators are not monotone with respect to the total order of IVIFS, which is undesirable. This paper shows how such averaging operators can be represented by using additive generators of the product triangular norm, which simplifies and extends the existing constructions. Moreover, two new aggregation operators based on the ukasiewicz triangular norm are proposed, which are monotone with respect to the total order of IVIFS. Finally, an application of the interval-valued intuitionistic fuzzy weighted averaging operator is given to multiple criteria decision making. 关 键 词:直觉模糊集 平均算子 区间值 聚集 隶属函数 多准则决策 模糊加权 应用程序
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