摘要
通过将犹豫模糊集与毕达哥拉斯模糊集相结合,提出毕达哥拉斯犹豫模糊集的概念,定义毕达哥拉斯犹豫模糊数的运算,研究其运算性质,并定义其得分函数实现毕达哥拉斯犹豫模糊数的大小比较。然后,提出毕达哥拉斯犹豫模糊数的加权算术平均算子和加权几何平均算子,并研究它们的性质。最后,给出一种基于毕达哥拉斯犹豫模糊信息的决策方法,并通过算例说明其可行性与有效性。
Pythagorean hesitant fuzzy set is defined by combining hesitant fuzzy set and Pythagorean fuzzy set, and the operations and operation natures of Pythagorean hesitant fuzzy numbers are studies. By constructing score functions of Pythagorean hesitant fuzzy numbers, ranking of Pythagorean hesitant fuzzy numbers are accomplished. Then, the weighted arithmetic average operator and the weighted geometric average operator of Pythagorean hesitant fuzzy numbers are proposed and their natures are discussed. Finally, a decision making method with Pythagorean hesitant fuzzy numbers is given, and an example is used to illustrate the feasibility and applicability of the proposed method.
出处
《模糊系统与数学》
CSCD
北大核心
2016年第4期107-115,共9页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11501525)
河南省教育厅科学技术研究重点项目(16A630061)
郑州航空工业管理学院青年科研基金资助(2016113001)
