{"title":"Design of weighted based divided-search enhanced Karnik–Mendel algorithms for type reduction of general type-2 fuzzy logic systems","authors":"Yang Chen","doi":"10.1007/s40747-025-01798-9","DOIUrl":null,"url":null,"abstract":"<p>General type-2 fuzzy logic systems (GT2 FLSs) based on the <span>\\(\\alpha\\)</span>-planes representation of general T2 fuzzy sets (FSs) have become more accessible to FL investigators in recent years. Type reduction (TR) is the most important block for GT2 FLSs. Here the weighted type-reduction algorithms based on the Newton and Cotes quadrature formulas of numerical methods of integration technique are first given, and the searching spaces are divided. Then a type of weighted divided search enhanced Karnik–Mendel (WDEKM) algorithms is shown to complete the centroid TR. In contrast to the WEKM algorithms, four simulation instances show that the WDEKM algorithms get lesser absolute errors and faster calculational speeds, which may offer the potentially application values for applying T2 FLSs.</p>","PeriodicalId":10524,"journal":{"name":"Complex & Intelligent Systems","volume":"12 1","pages":""},"PeriodicalIF":5.0000,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex & Intelligent Systems","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s40747-025-01798-9","RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE","Score":null,"Total":0}
引用次数: 0
Abstract
General type-2 fuzzy logic systems (GT2 FLSs) based on the \(\alpha\)-planes representation of general T2 fuzzy sets (FSs) have become more accessible to FL investigators in recent years. Type reduction (TR) is the most important block for GT2 FLSs. Here the weighted type-reduction algorithms based on the Newton and Cotes quadrature formulas of numerical methods of integration technique are first given, and the searching spaces are divided. Then a type of weighted divided search enhanced Karnik–Mendel (WDEKM) algorithms is shown to complete the centroid TR. In contrast to the WEKM algorithms, four simulation instances show that the WDEKM algorithms get lesser absolute errors and faster calculational speeds, which may offer the potentially application values for applying T2 FLSs.
期刊介绍：
Complex & Intelligent Systems aims to provide a forum for presenting and discussing novel approaches, tools and techniques meant for attaining a cross-fertilization between the broad fields of complex systems, computational simulation, and intelligent analytics and visualization. The transdisciplinary research that the journal focuses on will expand the boundaries of our understanding by investigating the principles and processes that underlie many of the most profound problems facing society today.
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