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今天小編為您帶來精讀博士論文【廣義乘性偏好資訊下考慮專家共識的多內容群決策方法】4.2直覺偏好關系的凈流值方程式。
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Today, the editor brings the "4.2 net flow equation for intuitive preference relationships of the intensively read PhD thesis 'A Multi-Attribute Group Decision-Making approach considering expert consensus under generalised nultiplicative preference information'".
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一、內容摘要（Summary of Content）
本期推文將從思維導圖、精讀內容、知識補充三個方面介紹精讀博士論文【廣義乘性偏好資訊下考慮專家共識的多內容群決策方法】的4.2直覺偏好關系的凈流值方程式。
This tweet will introduce the 4.2 net flow equation for intuitive preference relationships of the intensively read PhD thesis "A Multi-Attribute Group Decision-Making approach considering expert consensus under generalised nultiplicative preference information" in terms of mind mapping, intensive reading content, and knowledge supplementation.
二、思維導圖（Mind Maps）
三、精讀內容（Intensive reading content）
有學者提出了IFPR（直覺模糊偏好關系）與IVFPR（為區間模糊偏好關系）之間的轉化關系，在本章中引入這種轉化關系以獲取IFPR的凈流值方程式。此外，本節將IMPR（直覺乘性偏好關系）轉化為IVMPR（區間乘性偏好關系），並在此基礎上分別提出基於凈流值方程式的IFPR與IMPR的優先權重確定方法。
Some scholars proposed the transformation relationship between IFPR (intuitive fuzzy preference relation) and IVFPR (interval fuzzy preference relation), and introduced this transformation relationship in this chapter to obtain the net flow value equation of IFPR. In addition, this p transforms IMPR (intuitive multiplicative preference relation) into IVMPR (interval multiplicative preference relation), and on this basis, proposes the method of determining the priority weights of IFPR and IMPR based on the net flow value equation respectively.
（一）直覺模糊偏好關系與區間模糊偏好關系的轉化方法（ The transformation method of intuitionistic fuzzy preference relation and interval fuzzy preference relation）
作者首先介紹了直覺模糊偏好關系與區間模糊偏好關系的轉化方法，具體如下所示。
The author first introduces the transformation method of intuitionistic fuzzy preference relation and interval fuzzy preference relation, as shown below.
（二）直覺乘性偏好關系與區間乘性偏好關系的轉化方法（ The transformation method of intuitive multiplicative preference relation and interval multiplicative preference relation）
在該部份，作者首先介紹了直覺乘性偏好關系與區間乘性偏好關系的轉化方法，如下圖所示。
In this part, the author first introduces the transformation method of intuitive multiplicative preference relationship and interval multiplicative preference relationship, as shown in the figure below.
根據以上轉換，可以得到如下命題。
According to the above transformation, the following proposition can be obtained.
（三）兩種偏好關系的凈流值方程式（The net flow value equation of the two preference relationships）
有學者分別提出了FPR（模糊偏好關系）與MPR（乘性偏好關系）的輸入流與輸出流函數，並構建基於凈流值理論的FPR與MPR共存的混合偏好資訊下的MAGDM（多內容群決策）方法。受上述文獻啟發，本章提出IFPR與IMPR的凈流值方程式，並運用到後續研究之中。
Some scholars proposed input and output stream functions of FPR (fuzzy preference relation) and MPR (multiplicative preference relation) respectively, and constructed MAGDM (multi-attribute group decision making) method based on net current value theory under mixed preference information co-existing FPR and MPR. Inspired by the above literature, this chapter puts forward the net flow value equation of IFPR and IMPR, and applies it to the subsequent research.
在該部份，作者根據第一小節的方法推導，推出了IVFPR（為區間模糊偏好關系）中代表方案較於其他所有方案的總體偏好範圍的輸出流函數和輸入流方程式，如下圖所示。
In this part, according to the method derived in p 1, the author deduced the output flow function and input flow equation representing the overall preference range of the scheme compared with all other schemes in IVFPR (interval fuzzy preference relation), as shown in the figure below.
類似地，也可以得到IVMPR（區間乘性偏好關系）的凈流值方程式。
Similarly, the net flow value equation of the IVMPR (interval multiplicative preference relation) can also be obtained.
四、知識補充——凈流值（Knowledge replenishment - net flow value）
凈現值指未來資金（現金）流入（收入）現值與未來資金（現金）流出（支出）現值的差額，是專案評估中凈現值法的基本指標。未來的資金流入與資金流出均按預計折現率各個時期的現值系數換算為現值後，再確定其凈現值。這種預計折現率是按企業的最低的投資收益率來確定的.是企業投資可以接受的最低界限。
Net present value refers to the difference between the present value of future capital (cash) inflow (income) and the present value of future capital (cash) outflow (expenditure), which is the basic index of the net present value method in project evaluation. The future capital inflow and capital outflow are converted to the present value according to the present value coefficient of each period of the estimated discount rate, and then the net present value is determined. This projected discount rate is determined according to the lowest return on investment of the enterprise. Is the lowest acceptable level of corporate investment.
凈流值的采納法則為在只有一個備選方案的采納與否決決策中，凈現值為正者則采納，凈現值為負者不采納。在有多個備選方案的互斥選擇決策中，應選用凈現值是正值中的最大者。
The adoption rule of net current value is that in the adoption and rejection decision of only one alternative, those with positive net present value will adopt, and those with negative net present value will not adopt. In mutually exclusive choice decisions with multiple alternatives, the one with the largest positive net present value should be chosen.
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參考資料：谷歌轉譯、百度百科
參考文獻：
王睿. 廣義乘性偏好資訊下考慮專家共識的多內容群決策方法 [D]. 四川: 西南交通大學, 2022.
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