首页|基于区间中智集的一种新型三支决策模型

基于区间中智集的一种新型三支决策模型

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中智集作为模糊集的推广,有利于描述各种不确定、不一致、不连续的信息。针对单值中智集的三支决策分类结果单一缺陷,本文构建一种在区间中智集上的三支决策模型。首先,在单值中智集的定义上给出区间中智集的概念,根据贝叶斯决策理论和曼哈顿距离提出一种新的三支决策模型。然后,在区间中智集的信息系统中采用相似度计算条件概率得到期望损失,进一步建立区间中智集的三支决策模型。最后,通过医疗诊断实例具体阐述模型的应用,并讨论参数变化对决策结果的影响。
A novel three-way decision model based on interval-valued neutrosophic sets
As a type of generalization of fuzzy sets,neutrosophic sets are helpful to describe all kinds of uncertain,incon-sistent and discontinuous information.Since the classification result of the three-way decision on a single-valued neutrosophic set is relatively unitary,a three-way decision model on an interval-valued neutrosophic set is constructed.Firstly,based on the definition of a single-valued neutrosophic set,the concept of an interval-valued neutrosophic set is given,and a new three-way decision model is proposed by combining Bayesian decision theory and Manhattan distance.Then,under the given similarity,the conditional probability is calculated to obtain the expected loss in the information system of the interval-valued neutrosophic set,and the three-way decision model of the interval-valued neutrosophic set is established.Finally,the application of new model is illustrated by an example of medical diagnosis,and the effects of parameter variations on decision results are dis-cussed.

three-way decisioninterval-valued neutrosophic setsingle-valued neutrosophic setManhattan distance

田中文、张贤勇、陈江

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四川师范大学数学科学学院,四川 成都 610066

四川师范大学智能信息与量子信息研究所,四川 成都 610066

四川轻化工大学数学与统计学院,四川自贡 643000

三支决策 区间中智集 单值中智集 曼哈顿距离

2024

内江师范学院学报
内江师范学院

内江师范学院学报

影响因子:0.299
ISSN:1671-1785
年,卷(期):2024.39(10)