[1]王艳平,王金英.粗糙区间直觉模糊集的不确定性度量[J].智能系统学报,2014,9(04):449-453.[doi:10.3969/j.issn.1673-4785.201303013]
 WANG Yanping,WANG Jinying.Uncertainty measurement of the rough interval-valued intuitionistic fuzzy sets[J].CAAI Transactions on Intelligent Systems,2014,9(04):449-453.[doi:10.3969/j.issn.1673-4785.201303013]
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粗糙区间直觉模糊集的不确定性度量
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《智能系统学报》[ISSN:1673-4785/CN:23-1538/TP]

卷:
第9卷
期数:
2014年04期
页码:
449-453
栏目:
学术论文—智能系统
出版日期:
2014-08-25

文章信息/Info

Title:
Uncertainty measurement of the rough interval-valued intuitionistic fuzzy sets
作者:
王艳平 王金英
辽宁工业大学 理学院, 辽宁 锦州 121001
Author(s):
WANG Yanping WANG Jinying
School of Science, Liaoning University of Technology, Jinzhou 121001, China
关键词:
区间直觉模糊集模糊熵粗糙区间直觉模糊集粗糙隶属函数不确定性度量
Keywords:
interval-valued intuitionistic fuzzy setsfuzzy entropyrough interval-valued intuitionistic fuzzy setsrough membership functionuncertainty measurement
分类号:
TP301;O236
DOI:
10.3969/j.issn.1673-4785.201303013
摘要:
为了给出粗糙区间直觉模糊集的不确定性度量, 首先精炼了区间直觉模糊熵的公理化定义, 在此基础上构造了一个基于三角函数的区间直觉模糊熵公式, 并指出了以往文献中给出的区间直觉模糊熵公式存在的问题。然后定义了区间直觉模糊集的粗糙隶属函数, 利用粗糙隶属函数的区间直觉模糊熵, 给出了粗糙区间直觉模糊集的不确定性度量, 并讨论了度量的一些相关性质, 以此说明定义的合理性。
Abstract:
In order to give an uncertainty measurement of the interval-valued intuitionistic fuzzy rough set, initially based on a trigonometric function, an interval-valued intuitionistic fuzzy entropy formula is proposed by using a concise axiom definition of the interval-valued intuitionistic fuzzy entropy. The problems concerning the interval-valued intuitionistic fuzzy entropy formula discussed in the previous literature are also pointed out. Then the rough membership function of the interval-valued intuitionistic fuzzy set is defined and when using the interval-valued intuitionistic fuzzy entropy of rough membership functions, uncertainty measurement of the interval-valued intuitionistic fuzzy rough set is given, and some related properties of the measurement are discussed for the purpose of proving the rationality of the definition.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2013-03-06。
基金项目:辽宁省教育厅基金资助项目(L2012226)
作者简介:王金英,女,1981年生,讲师,主要研究方向为粗糙集理论、模糊集理论。
通讯作者:王艳平,女,1965年生,教授,主要研究方向为粗糙集理论、模糊集理论。发表学术论文30余篇。E-mail:weiyanping65@yahoo.com.cn
更新日期/Last Update: 1900-01-01