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首页|期刊导航|陕西师范大学学报(自然科学版)|基于区间值犹豫模糊多粒度粗糙集的三支决策模型

基于区间值犹豫模糊多粒度粗糙集的三支决策模型OA北大核心CSTPCD

Three-way decision models based on interval-valued hesitant fuzzy multi-granularity rough set

中文摘要英文摘要

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.

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.

徐伟华;丁一;邓彪;张晓燕

西南大学 人工智能学院,重庆 400715

计算机与自动化

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

three-way decisioninterval-valued hesitant fuzzy multi-granularity rough setcontinuous cross-entropydecision-theoretic rough set

《陕西师范大学学报(自然科学版)》 2024 (003)

37-46 / 10

国家自然科学基金(62376229)

10.15983/j.cnki.jsnu.2024008

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