USER-ORIENTED INTELLIGENCE MINING UNDER THE EXISTENCE OF SOLUTIONS TO INTEGRAL BOUNDARY VALUE PROBLEMS FOR FUZZY PARTIAL FRACTIONAL DIFFERENTIAL EQUATIONS

Shaofei Wu, Sanaa Sharaf () and Wei Xu
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Shaofei Wu: Hubei Province Key Laboratory of Intelligent Robots, Wuhan Institute of Technology, Wuhan, P. R. China†School of Computer Science and Engineering, Wuhan Institute of Technology, Wuhan, P. R. China
Sanaa Sharaf: ��Computer Science Department, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, Saudi Arabia
Wei Xu: �Department of Information Technology, Hubei University of Police, Wuhan, P. R. China¶Hubei Collaborative Innovation Center of Digital Forensics and Trusted Application, Wuhan, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 02, 1-11

Abstract: In order to accurately perceive user intention and improve the reliability of user intention information mining, the existence of solution of integral boundary value problem of fuzzy partial fractional differential equation is used to mine the information of user intention. Firstly, the periodic boundary value problem of fractional order fuzzy linear differential equation, periodic boundary value problem of fractional order fuzzy nonlinear differential equation and periodic boundary value problem of fractional order fuzzy coupled differential system are described in this research. The existence of the solution of the integral boundary value problem of the fuzzy partial fractional order differential equation is proved. Then a user-oriented information mining framework and an evaluation model based on the existence of solutions for the integral boundary value problem of fuzzy partial fractional differential equations are constructed. Finally, this research makes a case study and a comprehensive evaluation of user-oriented information mining based on the existence of solutions of integral boundary value problems for fuzzy partial fractional differential equations. The results show that the method based on the existence of the solution of the integral boundary value problem of fuzzy partial fractional order differential equation is feasible and scientific for the information mining of user intention. It is also concluded that this method is suitable for the modelling and solving of intelligence mining with complicated and unclear user intention. The research provides a good guidance for information mining oriented to user intention.

Keywords: Fractional Order Fuzzy Differential Equation; Boundary Value Problem; Existence of Solutions; Information Mining; User Intent (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400631

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