基于策略权重的模糊多属性决策方法

在实际的多属性决策问题中,决策者可以策略性地设置属性权重来获得期望的可选方案排名,这就是策略权重操控问题.决策者的不诚实性在现实中是普遍存在的,对于该问题的研究具有实际价值,而对该问题的研究目前主要针对于确定数.鉴于此,将策略权重操控问题的研究拓展到模糊多属性决策.首先,定义模糊多属性决策的策略权重操控问题和排名范围概念;然后,提出基于可能度和贴近度公式的混合线性规划模型来得出排名范围,并建立决策者策略权重向量最优模型;最后,以决策评价信息为区间数和三角模糊数的多属性决策问题为例,验证所提出模型的可行性和实用性,结果表明,OWA(ordered weighted averaging)算子对策略权重操控抵御能力更强,拓展模型能够保持原有确定数评价信息可选方案排名模型的优越性和准确性.

Strategic weight manipulation in fuzzy multiple attribute decision making

In a real multi-attribute decision making problem, the decision maker can strategically set the attribute weights to obtain the desired alternative ranking, which is the manipulation problem of strategic weight. The dishonesty of decision-makers is ubiquitous in reality, and the research on this problem has practical value. At present, the research on this problem mainly focuses on the crisp number. In view of this, the paper extends the research on strategy weight manipulation to fuzzy multi-attribute decision making. Firstly, the concept of strategy weight control and rank range for fuzzy multi-attribute decision making are defined. Then, a hybrid linear programming model based on the possibility and proximity formula is proposed to obtain the ranking range, and the optimal model of decision-maker''s policy weight vector is established. Finally, the multi-attribute decision making problems with decision evaluation information as interval number and triangular fuzzy number are taken as examples to verify the feasibility and practicability of the proposed model. The results show that the(ordered weighted averaging,OWA) operator has stronger resistance to the manipulation of strategic weight, and the expanded model maintains the superiority and accuracy of the alternative ranking model under the evaluation information of original crisp number.