{"title":"A Fuzzy Clustering Mathematical Model for Sub-assemblies Based on Game Theory","authors":"Kou Xiaoxi, Cao Yan, Qiao Hu, Wu Yujia","doi":"10.2991/pntim-19.2019.7","DOIUrl":null,"url":null,"abstract":"Taking sub-assembly recognition problem as the research object and combining with the mathematical model of sub-assembly recognition algorithm, this paper analyzes the similarity and corresponding mapping between the objective function problem of sub-assembly recognition and the game problem. The object function of sub-assembly recognition is transformed into the benefit of game participants, and the parameter variable is transformed into game strategy space. The steps of game analysis for sub-assembly recognition algorithm are systematically planned, and the fuzzy clustering mathematical model of sub-assembly based on game theory is given. It is beneficial to the determination of each parameter of the target function of sub-assembly recognition algorithm, and can reduce the influence of parameter weight on the result of the algorithm. It has practical engineering application significance. Keywords-Mathematical Model; Objective Function; Game Analysis","PeriodicalId":344913,"journal":{"name":"Proceedings of the 2019 International Conference on Precision Machining, Non-Traditional Machining and Intelligent Manufacturing (PNTIM 2019)","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2019 International Conference on Precision Machining, Non-Traditional Machining and Intelligent Manufacturing (PNTIM 2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/pntim-19.2019.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Taking sub-assembly recognition problem as the research object and combining with the mathematical model of sub-assembly recognition algorithm, this paper analyzes the similarity and corresponding mapping between the objective function problem of sub-assembly recognition and the game problem. The object function of sub-assembly recognition is transformed into the benefit of game participants, and the parameter variable is transformed into game strategy space. The steps of game analysis for sub-assembly recognition algorithm are systematically planned, and the fuzzy clustering mathematical model of sub-assembly based on game theory is given. It is beneficial to the determination of each parameter of the target function of sub-assembly recognition algorithm, and can reduce the influence of parameter weight on the result of the algorithm. It has practical engineering application significance. Keywords-Mathematical Model; Objective Function; Game Analysis