Exponential operational laws and new aggregation operators of intuitionistic Fuzzy information based on Archimedean T-conorm and T-norm

被引：20

作者：

Luo, Xue ^{[1
]}

Xu, Zeshui ^{[1
]}

Gou, Xunjie ^{[1
]}

机构：

[1] Sichuan Univ, Business Sch, Chengdu 610064, Sichuan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2018年 / 9卷 / 08期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Intuitionistic fuzzy set; Intuitionistic fuzzy number; Exponential operational law; Archimedean t-conorm and t-norm; Multiple criteria decision making; TOPSIS METHOD; NUMBERS; SETS;

D O I：

10.1007/s13042-016-0632-x

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Atanassov extended the fuzzy set to intuitionistic fuzzy set (IFS) whose basic components are intuitionistic fuzzy numbers (IFNs). IFSs and IFNs can depict the fuzzy characteristics of the objects comprehensively, and lots of operational laws have been introduced to facilitate the use of IFSs and IFNs for solving the practical problems under intuitionistic fuzzy environments. As a supplement of the existing operational laws, we define the exponential operational laws of IFSs and IFNs based on Archimedean t-conorm and t-norm (EOL-IFS-A and EOL-IFN-A), which can be considered as the more general forms of the original exponential operational law. After that, we study the properties of the EOL-IFS-A and EOL-IFN-A. Then, we develop an approach for multiple criteria decision making with intuitionistic fuzzy information. Finally, we give an example to illustrate the application of the developed approach, and make a detailed comparison with the existing method so as to show the advantages of our approach.

引用

页码：1261 / 1269

页数：9

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