考虑决策者给出参照点的风险型#br# 模糊多属性决策方法

系统工程与电子技术

考虑决策者给出参照点的风险型#br# 模糊多属性决策方法

刘云志1，樊治平1，李铭洋2

（1. 东北大学工商管理学院，辽宁沈阳 110819；
2. 辽宁大学商学院，辽宁沈阳 110142）

出版日期:2014-07-22 发布日期:2010-01-03

Method for risky fuzzy multipleattribute decision making considering  decision maker’s reference points

LIU Yunzhi1， FAN Zhiping1， LI Mingyang2

(1. School of Business Administration, Northeastern University, Shenyang 110819, China; 
2. Business School, Liaoning University, Shenyang 110136, China)

Online:2014-07-22 Published:2010-01-03

摘要/Abstract

摘要：

针对考虑决策者给出参照点情形的风险型模糊多属性决策问题，给出了基于累积前景理论的决策方法。首先给出了一种基于模糊结构元的模糊数排序方法；然后，将模糊决策信息转化为一种由模糊结构元表示的信息；进一步地，考虑决策者的心理行为因素并依据累积前景理论将不同自然状态下所对应的由模糊结构元表示的益损值转化为模糊前景价值；在此基础上，通过计算每个方案的综合模糊累积前景值并运用基于模糊结构元的模糊数排序方法对其进行排序，从而得到方案排序结果。最后，通过一个算例分析验证了该方法的可行性及有效性。

Abstract:

A method based on cumulative prospect theory is proposed to solve the risky fuzzy multiple attribute decision making problems with decision maker’s reference points. First, a ranking method for the fuzzy numbers is given based on the fuzzy structured element. Then, the fuzzy decision information is transformed into the information represented by the fuzzy structured element. Furthermore, the psychological behavioral factors of decision makers are considered in decision analysis, and the gainslosses values expressed in the fuzzy structured element are transformed into the fuzzy prospect values with regard to the different natural states based on the cumulative prospect theory. On this basis, the comprehensive fuzzy cumulative prospect value of each alternative can be calculated. The ranking result of the comprehensive fuzzy cumulative prospect values of the alternatives is obtained based on the proposed ranking method for the fuzzy numbers, and the ranking result of the whole alternatives can be obtained. Finally, a numerical example is used to illustrate the feasibility and validity of the proposed method.

刘云志1，樊治平1，李铭洋2. 考虑决策者给出参照点的风险型#br# 模糊多属性决策方法[J]. 系统工程与电子技术.

LIU Yunzhi1， FAN Zhiping1， LI Mingyang2. Method for risky fuzzy multipleattribute decision making considering  decision maker’s reference points[J]. Systems Engineering and Electronics.