基于Hamacher三角模的对称毕达哥拉斯集成算子及其应用  

Symmetric Pythagorean Fuzzy Aggregation Operator Based on the Hamacher T-Norm and Its Application

作　　者：李卓明 张铭皓 张明雪 崔旭 马振明 

机构地区：[1]临沂大学数学与统计学院,山东 临沂

出　　处：《应用数学进展》2023年第4期1713-1721,共9页Advances in Applied Mathematics

摘　　要：在毕达哥拉斯模糊集和Hamacher三角模基础上,研究了一类带参数且具有对称性的集成算子。首先给出了毕达哥拉斯模糊数的对称运算规则;其次,提出了基于Hamacher三角模的对称毕达哥拉斯集成算子,讨论了它的性质;之后,提出一种决策方法来解决毕达哥拉斯模糊信息环境下的多属性决策问题;最后,用示例验证所给方法的有效性。Based on the Pythagorean fuzzy set and Hamacher triangular norm, a class of aggregation operators with papameters and symmetric is studied. Firstly, the operational rules of Pythagorean fuzzy numbers is provided;secondly, the symmetric Pythagorean fuzzy aggregation operator based on the Hamacher triangular norm is defined, and some properties of it are investigated in detail;af-terwards, an approach to Pythagorean fuzzy multi-attribute decision making is presented based on the proposed operators. Finally, a practical example is given to illustrate the effectiveness of the proposed approach.

关 键 词：Hamacher三角模 对称毕达哥拉斯集成算子 多属性决策 

分 类 号：O17[理学—数学]