Cartesian product over interval valued intuitionistic fuzzy sets

被引：0
|
作者：
Xie, Jianming [1 ]
Liu, Sanyang [1 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian 710071, Shaanxi, Peoples R China
来源：
JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS | 2017年 / 28卷 / 06期
基金：
中国国家自然科学基金;
关键词：
intuitionistic fuzzy sets (IFS); Cartesian product; operation; geometric interpretation; interval valued intuitionistic fuzzy set (IVIFS); GROUP DECISION-MAKING; SIMILARITY MEASURE; INFORMATION;
D O I：
10.21629/JSEE.2017.06.13
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The intuitionistic fuzzy set (IFS) based on fuzzy theory, which is of high efficiency to solve the fuzzy problem, has been introduced by Atanassov. Subsequently, he pushed the research one step further from the IFS to the interval valued intuitionistic fuzzy set (IVIFS). On the basis of fuzzy set (FS), the IFS is a generalization concept. And the IFS is generalized to the IVIFS. In this paper, the definition of the sixth Cartesian product over IVIFSs is first introduced and its some properties are explored. We prove some equalities based on the operation and the relation over IVIFSs. Finally, we present one geometric interpretation and a numerical example of the sixth Cartesian product over IVIFSs.
引用
收藏
页码：1152 / 1161
页数：10
相关论文
共 50 条
12345