{"title":"基于统计数据的模糊逻辑包含系统设置算法","authors":"M. S. Golosovskiy, A. V. Bogomolov, D. S. Tobin","doi":"10.3103/S0005105523010028","DOIUrl":null,"url":null,"abstract":"<div><p>An original algorithm for tuning zero-order Sugeno-type fuzzy inference systems based on statistical data is presented. The algorithm is based on selecting areas around the reference points, finding the coordinates of the center of mass of the selected areas, and using them to set up a fuzzy inference system. A convergence theorem is proven for the proposed algorithm. The paper presents the results of studying the quality of the algorithm under conditions of changing the number of membership functions of input variables and the number of statistical data points, on the basis of which the fuzzy inference systems were tuned.</p></div>","PeriodicalId":42995,"journal":{"name":"AUTOMATIC DOCUMENTATION AND MATHEMATICAL LINGUISTICS","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Algorithm for Setting Fuzzy Logical Inclusion Systems Based on Statistical Data\",\"authors\":\"M. S. Golosovskiy, A. V. Bogomolov, D. S. Tobin\",\"doi\":\"10.3103/S0005105523010028\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An original algorithm for tuning zero-order Sugeno-type fuzzy inference systems based on statistical data is presented. The algorithm is based on selecting areas around the reference points, finding the coordinates of the center of mass of the selected areas, and using them to set up a fuzzy inference system. A convergence theorem is proven for the proposed algorithm. The paper presents the results of studying the quality of the algorithm under conditions of changing the number of membership functions of input variables and the number of statistical data points, on the basis of which the fuzzy inference systems were tuned.</p></div>\",\"PeriodicalId\":42995,\"journal\":{\"name\":\"AUTOMATIC DOCUMENTATION AND MATHEMATICAL LINGUISTICS\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-04-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"AUTOMATIC DOCUMENTATION AND MATHEMATICAL LINGUISTICS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.3103/S0005105523010028\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"AUTOMATIC DOCUMENTATION AND MATHEMATICAL LINGUISTICS","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.3103/S0005105523010028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Algorithm for Setting Fuzzy Logical Inclusion Systems Based on Statistical Data
An original algorithm for tuning zero-order Sugeno-type fuzzy inference systems based on statistical data is presented. The algorithm is based on selecting areas around the reference points, finding the coordinates of the center of mass of the selected areas, and using them to set up a fuzzy inference system. A convergence theorem is proven for the proposed algorithm. The paper presents the results of studying the quality of the algorithm under conditions of changing the number of membership functions of input variables and the number of statistical data points, on the basis of which the fuzzy inference systems were tuned.
期刊介绍:
Automatic Documentation and Mathematical Linguistics is an international peer reviewed journal that covers all aspects of automation of information processes and systems, as well as algorithms and methods for automatic language analysis. Emphasis is on the practical applications of new technologies and techniques for information analysis and processing.