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[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(4):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(4):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

《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷: 9 期数: 2014年第4期页码: 449-453 栏目: 学术论文—智能系统出版日期: 2014-08-25

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 sets; fuzzy entropy; rough interval-valued intuitionistic fuzzy sets; rough membership function; uncertainty 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.

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　QING Ming,SUN Xiaomei.A new clustering effectiveness function: fuzzy entropy of fuzzy partition[J].CAAI Transactions on Intelligent Systems,2015,10():75.[doi:10.3969/j.issn.1673-4785.201410004]
[2]刘洪伟,王艳平.区间直觉模糊粗糙集的不确定性研究[J].智能系统学报,2014,9(5):613.[doi:10.3969/j.issn.1673-4785.201307007]
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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