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Q-Fuzzy Integral Evaluation And Optimal Control Of Medical Helmet Performance

Posted on:2024-07-25Degree:MasterType:Thesis
Country:ChinaCandidate:Y WangFull Text:PDF
GTID:2530306917484304Subject:Mathematics
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Fuzzy mathematical theory was first given by the American specialist in Control Theory,Professor Zadeh,in 1965,and its appearance marked the birth of a new branch of the mathematical academic discipline.In this article,the Fuzzy measure and Fuzzy integral are further researched and the Fuzzy controller is optimized design,and its applied to the construction and simulation of the new medical helmet model algorithm.The detailed research elements are as follows:(1)To begin with,a pair of dual properties q-Fuzzy sum operators and q-Fuzzy product operators are designed to respectively verify that they meet T trigonometric and S trigonometric terms.Next,a k-Fuzzy measure is defined and then the k-Fuzzy measure space is obtained,and its proof of related properties is given.Finally,in the k-Fuzzy measure space,the designed q-Fuzzy product operators is applied to the Fuzzy probability integral,and the related properties and theorems are received and verified.(2)In the first place,according to the proposed Fuzzy probability integral method,five factors affecting the performance of medical helmets were chosen for calculation,sequencing and simulation diagram analysis.In the second place,the modified inverse entropy weight method was chosen to compute the weight in the calculation process to analyze the performance state of medical helmets.Finally,it is compared with the traditional Fuzzy synthetic assessment method.Compare the results confirmed the reasonableness of using Fuzzy probability integral method and overcome the weak identification of the conventional way.(3)Firstly,a new stochastic variable domain scaling factor is proposed,and its stability is analyzed by function image;Secondly,the working principle diagram of the stochastic variational domain Fuzzy controller based on the T-S model was devised according to the working principle of the medical helmet.Then a two-dimensional T-S model-based stochastic variational domain fuzzy controller was designed based on the input volume,and the output volume was acquired;Finally,do simulation and analysis plots and compare with the conventional fuzzy controllers.Demonstrated the results that the new designed fuzzy controller is more valid than the previous fuzzy controller.
Keywords/Search Tags:q-Fuzzy operator, k-Fuzzy measure, Fuzzy probability integral, medical helmets, T-S Fuzzy controller
PDF Full Text Request
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