陕西师范大学学报(自然科学版)2024,Vol.52Issue(3):37-46,10.DOI:10.15983/j.cnki.jsnu.2024008
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
摘要
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分类
信息技术与安全科学引用本文复制引用
徐伟华,丁一,邓彪,张晓燕..基于区间值犹豫模糊多粒度粗糙集的三支决策模型[J].陕西师范大学学报(自然科学版),2024,52(3):37-46,10.基金项目
国家自然科学基金(62376229) (62376229)