{"title":"The stability of a class of generalized fuzzy Hopfield networks","authors":"Chunlin Wang, Fu Shi-lu, Dan Qi","doi":"10.1109/ICACIA.2009.5361139","DOIUrl":null,"url":null,"abstract":"A general dynamical fuzzy neural networks model—fuzzy Hopfield networks is developed, which is based on the fuzzy operator composition of max(V) and weakly continuous T-norms. It is shown that the model is global stable with the Hamming distance, and its equilibrium point (attractor) is Lyapunov stable. At last, a simple efficient learning algorithm —max-weight-matrix learning algorithm is proposed for it.","PeriodicalId":423210,"journal":{"name":"2009 International Conference on Apperceiving Computing and Intelligence Analysis","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Conference on Apperceiving Computing and Intelligence Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICACIA.2009.5361139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
A general dynamical fuzzy neural networks model—fuzzy Hopfield networks is developed, which is based on the fuzzy operator composition of max(V) and weakly continuous T-norms. It is shown that the model is global stable with the Hamming distance, and its equilibrium point (attractor) is Lyapunov stable. At last, a simple efficient learning algorithm —max-weight-matrix learning algorithm is proposed for it.
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