萌说新语：精读博士论文--Heronian少于算子27

thagorean geometry operator fuzzy exponential operator geometry, Pythagoras fuzzy ordered weighted averaging operator, Pythagoras Bonferroni fuzzy ordered weighted geometric operator, the Pythagorean geometry and weighted average operator Pythagoras fuzzy a few The Bonferroni mean operator.It is pointed out that the Heronian operator has not been studied in the Pythagorean fuzzy environment, which is the breakthrough of the author's innovation in this chapter.Starting from this, the author points out the following schemes to determine the weight of the research object: expert weight, which is determined by the closeness of the individual Pythagoras fuzzy decision matrix;Objective criterion weight -- On the basis of the known subjective criterion weight, the deviation of different schemes under the criterion is determined, so as to determine the comprehensive criterion weight.

1.2 Heronian千分之标量和总称Heronian千分之标量

1.2 Heronian mean operators and generalized Heronian mean operators

对于这里的所作对Heronian千分之标量和总称Heronian千分之标量下定义努力学习，小编利用对比作法带大家努力学习：

For the author's definition and study of the Heronian average operator and the generalized Heronian average operator, Xiaobian takes advantage of the comparison method to take you to learn:

图一：Heronian千分之标量方程组

Figure 1: Heronian mean operator formula

图二：总称Heronian千分之标量方程组

Figure 2: Generalized Heronian mean operator formula

以上两图共有Heronian千分之标量和总称Heronian千分之标量的系统化方程组以下内容，HM和GHM中的的差别G称作的是Generalized，暗示总和。总称的Heronian千分之标量中的在百分比上如果pq都为1/2时，总称Heronian千分之标量将退化成为Heronian千分之标量，实现起码完全。

The above two figures are the basic formulas of the Heronian mean operator and the Generalized Heronian mean operator, respectively. The difference G in HM and GHM refers to the generalized G and represents the mean value. In the generalized Heronian average operator, if pq is 1/2 on the exponential, the generalized Heronian average operator will degenerate into the Heronian average operator and achieve the flat state.

1.3 专业知识可用 1.3 Knowledge Supplement

1.规章值？

规章多达是传热学名词，旧称"相似规章多达"，简称"规章"或"多达"。即进行时正确或者权衡的规章依据。

1.Criterion value?

Criterion number is a heat transfer noun, the full name of "similar criterion number", short for "criterion" or "number". That is, the criterion basis for judgment or decision making.

2.庞加莱标量？庞加莱千分之标量？

2. Geometric operators?Geometric mean operator?

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参考文献：

[1]金珍. 基于怀疑论者单纯集的多规章群人权衡理论与作法研究者[D].江西财经大学,2019.

[2]蒋中正莹莹,段鹏举,赵丽莎.列车运行Pythagorean单纯庞加莱增量Bonferroni千分之标量及其应用[J].曲阜师范大学学报(自然科学初版),2021,47(03):18-24.

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