[1]曾 庄,黄天民*,赵庆庆,等.毕达哥拉斯模糊数新的排序方法和运算法则[J].四川师范大学学报(自然科学版),2020,43(04):435-441.[doi:10.3969/j.issn.1001-8395.2020.04.002]
 ZENG Zhuang,HUANG Tianmin,ZHAO Qingqing,et al.A New Ranking Method and Operational Law of Pythagorean Fuzzy Numbers[J].Journal of SichuanNormal University,2020,43(04):435-441.[doi:10.3969/j.issn.1001-8395.2020.04.002]
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毕达哥拉斯模糊数新的排序方法和运算法则()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
43卷
期数:
2020年04期
页码:
435-441
栏目:
基础理论
出版日期:
2020-06-20

文章信息/Info

Title:
A New Ranking Method and Operational Law of Pythagorean Fuzzy Numbers
文章编号:
1001-8395(2020)04-0435-07
作者:
曾 庄 黄天民* 赵庆庆 徐 颖
西南交通大学 数学学院, 四川 成都 611756
Author(s):
ZENG Zhuang HUANG Tianmin ZHAO Qingqing XU Ying
College of Mathematics, Southwest Jiaotong University, Chengdu 611756, Sichuan
关键词:
直觉模糊集 毕达哥拉斯模糊数 记分函数 精度函数 毕达哥拉斯模糊数排序方法 毕达哥拉斯模糊数运算法则
Keywords:
intuitionistic fuzzy set Pythagorean fuzzy number score function accuracy function Pythagorean fuzzy number sorting method operational law of PFNs
分类号:
O159; TP18
DOI:
10.3969/j.issn.1001-8395.2020.04.002
文献标志码:
A
摘要:
首先在全面考虑到隶属度、非隶属度、犹豫度三方面信息基础上,定义新的毕达哥拉斯模糊数(PFN)的记分函数和精度函数,得到一种新的排序方法.并且与旧的排序方法进行对比,说明新的记分函数和精度函数的合理性与有效性.然后在毕达哥拉斯模糊Einstein运算和毕达哥拉斯交叉影响集成运算的基础上,定义新的毕达哥拉斯模糊运算法则,给出相应的证明,并得到一些性质,丰富了毕达哥拉斯模集理论.
Abstract:
Firstly, based on the comprehensive consideration of membership, non-affiliation and hesitation, the new Pythagorean fuzzy number(PFN)scoring function and precision function are defined, and a new sorting method is obtained. Compared with the old sorting method, the rationality and effectiveness of the new scoring function and precision function are illustrated. Then, based on the Pythagorean fuzzy Einstein operation and Pythagoras cross-impact integration operation, the new Pythagorean fuzzy operation law is defined, the corresponding proof is given and some good properties are obtained. Pythagorean fuzzy set theory is enriched.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2018-09-13 接受日期:2019-03-14
基金项目:中央高校基础研究基金(2682014ZT28)
*通信作者简介:黄天民(1958—),男,教授,博导,主要从事模糊控制与智能控制、优化与决策的研究,E-mail:15228150063@163.com
更新日期/Last Update: 2020-06-20