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定义了区间概率空间以及区间概率随机变量.针对准则权重确知且准则值为区间概率随机变量的多准则决策问题,提出一种基于集对分析的决策方法.该方法首先根据离差最大化,确定各随机变量的概率,将区间型概率问题转化为经典的确定型概率问题;然后利用集对分析建立规划模型,将区间状态值用联系数表示,并根据集对势序准则对方案进行排序;最后通过实例说明该方法的有效性和可行性.
The interval probability space and interval probability random variables are defined.Aiming at the problem of multi-criteria decision making with the criterion weighting and the criterion value being interval probability random variables, a decision-making method based on set pair analysis is proposed.Firstly, based on the maximization of dispersion, The probability of each random variable is determined, and the interval-type probability problem is transformed into the classical deterministic probability problem. Then the set-pair analysis is used to establish the planning model, the interval state value is expressed by the connection number and the scheme is sorted according to the set pair potential order criterion Finally, an example is given to illustrate the effectiveness and feasibility of the method.