摘要
定义了基于实数集信息的概率加权几何(PWG)算子和概率有序加权几何(POWG)算子。在此基础上,讨论了集成毕达哥拉斯模糊信息的毕达哥拉斯模糊概率加权几何(PFPWG)算子和毕达哥拉斯模糊概率有序加权几何(PFPOWG)算子,并研究了PFPOWG算子的主要性质。最后,将PFPOWG算子应用于多属性群决策中,并通过实例及对比分析的方法来说明PFPOWG算子飭灵活性和有效性。
The probabilistic weighted geometric(PWG)operator and the probabilistic ordered weighted geometric(POWG)operator based on real number set information are defined.On this basis,Pythagorean fuzzy probabilistic weighted geometric(PFPWG)operator and Pythagorean fuzzy probabilistic ordered weighted geometric(PFPOWG)operator aggregated with Pythagorean fuzzy information are discussed andthe main properties of PFPOWG operator are studied.Finally,the PFPOWG operator is applied to multi-attribute group decision making,and the flexibility and effectiveness of PFPOWG operator are illustrated by examples and comparative analysis.
作者
徐婷婷
张慧
李伯权
XU Ting-ting;ZHANG Hui;LI Bo-quan(School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,China)
出处
《模糊系统与数学》
北大核心
2019年第6期103-113,共11页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(61772034)
