基于区间值犹豫模糊多粒度粗糙集的三支决策模型
Three-way decision models based on interval-valued hesitant fuzzy multi-granularity rough set
徐伟华 1丁一 1邓彪 1张晓燕1
作者信息
- 1. 西南大学 人工智能学院,重庆 400715
- 折叠
摘要
针对区间值犹豫模糊信息系统,提出了两种基于区间犹豫模糊多粒度粗糙集的三支决策模型.首先,借助多粒度粗糙集理论,提出乐观和悲观区间犹豫模糊多粒度粗糙集模型.其次,引入区间犹豫模糊连续交叉熵的概念,用TOPSIS方法来计算对象在不同情况下的条件概率.基于此,定义区间犹豫模糊决策理论粗糙集并给出相应的三支决策规则.最后,通过实例验证了这两种模型对目标评估采取不同的态度和决策方案,并且证明了所提算法的有效性.
Abstract
In this paper,two three-way decision models based on interval-valued hesitant fuzzy multi-granularity rough set are proposed for the interval-valued hesitant fuzzy information system.First,the optimistic and pessimistic interval-valued hesitant fuzzy multi-granularity rough set models are determined by means of multi-granularity rough set theory.Then,the concept of interval valued hesitant fuzzy continuous cross-entropy is introduced to calculate the conditional probabilities under different cases through the technique for order preference by similarity to an ideal solution(TOPSIS).Based on this,interval-valued hesitant fuzzy decision-theoretic rough sets and relevant three-way decision rules are proposed.Finally,it is illustrated that these models adopt different attitudes and decision-making schemes for target evaluation through an example,and the effectiveness of the algorithm is verified.
关键词
三支决策/区间犹豫模糊多粒度粗糙集/连续交叉熵/决策理论粗糙集Key words
three-way decision/interval-valued hesitant fuzzy multi-granularity rough set/continuous cross-entropy/decision-theoretic rough set引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
维普
万方数据