The Properties of Fuzzy Tensor and Its Application in Multiple Attribute Group Decision Making

被引：9
|
作者：
Deng, Shengyue [1 ,2 ]
Liu, Jianzhou [1 ]
Wang, Xinfan [2 ]
机构：
[1] Xiangtan Univ, Dept Math & Computat Sci, Xiangtan 411105, Peoples R China
[2] Hunan Univ Technol, Sch Sci, Zhuzhou 412008, Peoples R China
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2019年 / 27卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fuzzy tensor; fuzzy synthetic evaluation; group decision making; multiple attribute decision making; CONSENSUS; SUPPORT; PRODUCTS;
D O I：
10.1109/TFUZZ.2018.2865923
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The properties of fuzzy tensor and the product of fuzzy tensor and fuzzy vector are studied in the paper. The concept of fuzzy tensor is defined through expanding the fuzzy matrix. The product of fuzzy tensor and fuzzy vector is proved to be a fuzzy linear transformation. The general form of the fuzzy synthetic evaluation model is established to solve multiple attribute group decision making problems. Finally, two numerical examples of multiple attribute group decision making are provided to demonstrate the feasibility and efficiency of the fuzzy synthetic evaluation.
引用
收藏
页码：589 / 597
页数：9
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