非线性规划的区间中智集多属性三支决策
Multi-Attribute Three-Way Decision Making Based on Nonlinear Programming Method
摘要: 得分函数是处理区间中智集多属性决策问题的有力工具，但确定合适的得分函数并不容易。针对这个问题，本文提出一个新的得分函数，克服了其他得分函数在某些值不可分辨的问题，并且在单值中智集和区间中智集上都表现良好。另一方面，用改进的得分函数构造出一对非线性规划模型，以求得各方案的区间型评估值来确定条件概率，并用客观的方法求得相对损失函数。最后由区间型的三支决策分类规则对方案进行分类。并以一个实例说明该方法的有效性。
Abstract: Score function is a powerful tool to dealing with multi-attribute decision making problems in the interval neutrosophic sets, but it is not easy to determine the appropriate score function. To solve this problem, a new scoring function is proposed in this paper, which overcomes the problem that other scoring functions are indistinguishable in some values, and performs well on both single neutrosophic sets and interval neutrosophic sets. On the other hand, a pair of nonlinear programming models are constructed by using the improved score function to obtain the interval evaluation value of each scheme to determine the conditional probability, and the relative loss function is obtained by objective method. Finally, the scheme is classified by three decision classification rules of interval type. An example is given to illustrate the effectiveness of the method.
文章引用：李丽莎, 冯源. 非线性规划的区间中智集多属性三支决策[J]. 运筹与模糊学, 2024, 14(2): 1223-1236. https://doi.org/10.12677/orf.2024.142220

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