Pythagorean probabilistic hesitant triangular fuzzy aggregation operators with applications in multiple attribute decision making

As a generalization of fuzzy set,hesitant probabilistic fuzzy set and pythagorean triangular fuzzy set have their own unique advantages in describing decision information.As modern socioeconomic decision-making problems are becoming more and more complex,it also becomes more and more difficult to appropriately depict decision makers’cognitive information in decision-making process.In order to describe the decision information more comprehensively,we define a pythagorean probabilistic hesitant triangular fuzzy set(PPHTFS)by combining the pythagorean triangular fuzzy set and the probabilistic hesitant fuzzy set.Firstly,the basic operation and scoring function of the pythagorean probabilistic hesitant triangular fuzzy element(PPHTFE)are proposed,and the comparison rule of two PPHTFEs is given.Then,some pythagorean probabilistic hesitant triangular fuzzy aggregation operators are developed,and their properties are also studied.Finally,a multi-attribute decision-making(MADM)model is constructed based on the proposed operators under the pythagorean probabilistic hesitant triangular fuzzy information,and an illustration example is given to demonstrate the practicability and validity of the proposed decision-making method.

汽车主动齿轮组件激光焊接参数优化

本文分别研究了表面清洁度、保护气流量以及焊接收弧阶段能量降等过程参数控制对某汽车主动齿轮组件焊缝质量的影响。结果表明:良好的焊前表面清洁度可有效防止焊接飞溅和气孔的产生;焊接过程中保护氩气流量太小或太大都可能导致焊接缺陷,且在一定条件下氩气流量与焊接熔深成反比;三段法梯次焊接速度加快和焊接功率下降控制焊接收弧能得到更优的焊缝质量。