Interval-valued hesitant fuzzy entropy and interval-valued hesitant fuzzy similarity measures

Abstract

Abstract: Based on the concept of hesitant fuzzy entropy, this paper introduces the concepts of entropy and similarity measures for interval-valued hesitant fuzzy information, and discusses their relationships. Firstly, the axiomatic definition of entropy for interval-valued hesitant fuzzy sets is proposed. Two entropy measure formulas are further developed, and they satisfies four axiomatic requirements of interval-valued hesitant fuzzy entropy. Then, the paper presents the concept of the interval-valued hesitant fuzzy weighted entropy depending on the interval-valued hesitant fuzzy entropy. Finally, the concept of interval-valued hesitant fuzzy similarity measures is given, and it studies the relationships between interval-valued hesitant fuzzy similarity measures and interval-valued hesitant fuzzy entropy.

Key words: Interval-Valued Hesitant Fuzzy Sets（IVHFS）, entropy, similarity measures

摘要： 基于犹豫模糊熵的概念，提出了区间犹豫模糊熵和相似度的概念，同时研究了它们之间的相互关系。给出了区间犹豫模糊熵的公理化定义，在此基础上构造了两种形式的熵测度公式，并且证明了它们满足区间犹豫模糊熵的四条公理化准则；依据区间犹豫模糊熵引入了区间犹豫模糊加权熵的概念；提出了区间犹豫模糊相似度的概念，并且研究了区间犹豫模糊环境下的熵和相似度之间的关系。

关键词: 区间犹豫模糊集, 熵, 相似度

LI Xiangying. Interval-valued hesitant fuzzy entropy and interval-valued hesitant fuzzy similarity measures[J]. Computer Engineering and Applications, 2014, 50(19): 227-231.

李香英. 区间犹豫模糊熵和区间犹豫模糊相似度[J]. 计算机工程与应用, 2014, 50(19): 227-231.

[1]	NI Zongjun, CHEN Hui, ZHANG Yun, SU Min, ZHENG Xiujuan. Non-contact Physiological Parameter Estimation Method Based on Adaptive Denoising [J]. Computer Engineering and Applications, 2021, 57(5): 153-160.
[2]	CAI Dongli, ZHONG Qinghua, ZHU Yongsheng, LIAO Jinxiang, HAN Maizhi. EEG Emotion Recognition Using Convolutional Neural Network with 3D Input [J]. Computer Engineering and Applications, 2021, 57(5): 161-167.
[3]	WANG Peng, YE Xueyi, WANG Tao, QIAN Dingwei. Face Recognition Based on Double Variation and Double Space Local Directional Pattern [J]. Computer Engineering and Applications, 2021, 57(4): 91-99.
[4]	MA Manfu, GUO Chenbiao, LI Yong, ZHANG Zhongying, ZHANG Qiang, WANG Changqing. Research on Heterogeneity of Attention Flow Network Based on Structural Entropy [J]. Computer Engineering and Applications, 2021, 57(23): 98-105.
[5]	YI Lingzhi, WANG Shitong, YI Fang, DENG Dong, YI Zhimin, JIANG Peng. Wind Farm Ultra-Short-Term Wind Speed Prediction Based on EEMDSE-ILSTM [J]. Computer Engineering and Applications, 2021, 57(22): 288-294.
[6]	JIANG Kui, QIU Yuandong, ZHENG Haocheng. ICMPv6 DDoS Attack Detection Method Based on Information Entropy and LSTM [J]. Computer Engineering and Applications, 2021, 57(21): 148-154.
[7]	SONG Shijie, CHEN Kaiyan, ZHANG Yang. Security Evaluation Framework of Deep Learning Side Channel Analysis from Information Entropy [J]. Computer Engineering and Applications, 2021, 57(17): 138-146.
[8]	HUANG Lin, YUAN Xiujiu. General Formula and Generating Algorithm of Improved Hesitant Fuzzy Linguistic Entropy [J]. Computer Engineering and Applications, 2021, 57(16): 97-107.
[9]	ZHANG Junfang, ZHOU Ligang, ZHANG Chunfang, XU Xin, XIAO Jian. Application of Interval-Valued Pythagorean Hesitant Fuzzy Continuous Entropy-Grey Relative Degree [J]. Computer Engineering and Applications, 2021, 57(15): 207-214.
[10]	ZHANG Nianpeng, WU Xu, ZHU Qiang. Entropy-Based Oversampling Framework [J]. Computer Engineering and Applications, 2021, 57(13): 96-101.
[11]	XIE Xiang, ZHANG Qianru, ZHANG Jing, GAO Xinyu. Research and Application on Information System Component Identification Method Based on Domain Modeling-Oriented [J]. Computer Engineering and Applications, 2021, 57(12): 105-114.
[12]	ZHANG Di, YANG Pei, DENG Xinbo, ZHAO Qianchuan. ASExplorer： Multi-dimensional Correlation Visual Analysis System Based on Joint Entropy [J]. Computer Engineering and Applications, 2021, 57(1): 99-109.
[13]	DAN Yufang, TAO Jianwen, XU Haote. Semi-Supervised Classification Method of Possibilistic Clustering Assumption [J]. Computer Engineering and Applications, 2020, 56(9): 65-74.
[14]	AN Ning, JIANG Siyuan, TANG Chen, YANG Jiaoyun. Clustering Method by Combining Simplex Mapping and Entropy Weighting [J]. Computer Engineering and Applications, 2020, 56(9): 148-155.
[15]	ZHANG Junfang, ZHOU Yixuan, ZHOU Ligang, XIAO Jian. Approach to Multiple Attribute Decision Making Based on Pythagorean Hesitant Fuzzy Cross Entropy [J]. Computer Engineering and Applications, 2020, 56(9): 198-203.

Interval-valued hesitant fuzzy entropy and interval-valued hesitant fuzzy similarity measures

区间犹豫模糊熵和区间犹豫模糊相似度

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics