Quantum Fuzzy Regression Model for Uncertain Environment

作     者：Tiansu Chen Shi bin Zhang Qirun Wang Yan Chang 

作者机构：School of CybersecurityChengdu University of Information TechnologyChengdu610225China Advanced Cryptography and System Security Key Laboratory of Sichuan ProvinceChengdu610255China School of Engineering and TechnologyUniversity of HertfordshireHertfordUK 

出 版 物：《Computers, Materials & Continua》 (计算机、材料和连续体（英文）)

年 卷 期：2023年第75卷第5期

页      面：2759-2773页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：This work is supported by the NationalNatural Science Foundation of China(No.62076042) the Key Research and Development Project of Sichuan Province(Nos.2021YFSY0012,2020YFG0307,2021YFG0332) the Science and Technology Innovation Project of Sichuan(No.2020017) the Key Research and Development Project of Chengdu(No.2019-YF05-02028-GX) the Innovation Team of Quantum Security Communication of Sichuan Province(No.17TD0009) the Academic and Technical Leaders Training Funding Support Projects of Sichuan Province(No.2016120080102643) 

主　　题：Big data fuzzy regression model uncertain environment quantum regression model 

摘      要：In the era of big data,traditional regression models cannot deal with uncertain big data efficiently and *** order to make up for this deficiency,this paper proposes a quantum fuzzy regression model,which uses fuzzy theory to describe the uncertainty in big data sets and uses quantum computing to exponentially improve the efficiency of data set preprocessing and parameter *** this paper,data envelopment analysis(DEA)is used to calculate the degree of importance of each data ***,Harrow,Hassidim and Lloyd(HHL)algorithm and quantum swap circuits are used to improve the efficiency of high-dimensional data matrix *** application of the quantum fuzzy regression model to smallscale financial data proves that its accuracy is greatly improved compared with the quantum regression ***,due to the introduction of quantum computing,the speed of dealing with high-dimensional data matrix has an exponential improvement compared with the fuzzy regression *** quantum fuzzy regression model proposed in this paper combines the advantages of fuzzy theory and quantum computing which can efficiently calculate high-dimensional data matrix and complete parameter estimation using quantum computing while retaining the uncertainty in big ***,it is a new model for efficient and accurate big data processing in uncertain environments.