基于直觉模糊多属性群决策的风险排序方法  

Method for Risk Ranking Based on Intuitionistic Fuzzy Multi-attribute Group Decision-making

作　　者：蔡久顺 张执国[1] 师鹏[1] 何泉[2] 

机构地区：[1]空军工程大学装备管理与安全学院,西安710051 [2]西安建筑科技大学建筑学院,西安710055

出　　处：《工程数学学报》2015年第5期650-658,共9页Chinese Journal of Engineering Mathematics

基　　金："十二五"国家科技支撑计划(2013BAJ03B04-1)~~

摘　　要：为了解决信息收集时的模糊性和不确定性问题,避免单人决策的失误,并全面描述风险的不同特征,本文将直觉三角模糊数和多属性群决策理论结合起来,提出了一种基于直觉模糊多属性群决策的风险排序方法,提高了风险排序的准确度.首先,运用直觉三角模糊数收集专家的判断信息;其次,通过分别计算三角模糊数和直觉模糊数的熵权得到组合权重,从而确定不同方案的风险综合值;再次,利用逼近理想解法对不同方案的风险综合值进行排序;最后,给出实例验证了该方法的有效性和可行性.In order to solve the fuzzy and uncertainty problem of information collection, avoid the mistakes of single-person decision, and describe different characteristics of risk, we combine the intuitionistic triangular fuzzy number and the theory of multi-attribute group decision- making, and propose a new ranking method based on intuitionistic fuzzy multi-attribute group decision-making and improve the accuracy of risk ranking. Firstly, we apply the intuitionistic triangular fuzzy number to collect expert judgment information. Secondly, we calculate the en- tropy weights of triangular fuzzy number and intuitionistic fuzzy number to get the combined weights, and obtain the comprehensive value of different risk schemes. Then, we rank compre- hensive value of different risk schemes by TOPSIS method. Finally, the numerical example is given to verify the feasibility and effectiveness of the method.

关 键 词：风险排序 直觉三角模糊数 多属性群决策 熵权 逼近理想解法 

分 类 号：O29[理学—应用数学]