{"title":"模糊数空间中的动态性质","authors":"J. Kupka","doi":"10.2991/eusflat.2011.5","DOIUrl":null,"url":null,"abstract":"This paper is a contribution to the theoretical foundations of the theory of fuzzy dynamical systems. More precisely, we study relations between a given discrete dynamical system on the space X and its fuzzy counterpart Zadeh’s extension defined on the space of fuzzy sets on X . We provide a short discussion and a brief survey of some recent results devoted to various (especially chaotic) dynamical properties, a special attention is paid to fuzzifications on the space of fuzzy numbers, i.e., to fuzzy sets with connected α-cuts.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Dynamical properties in the space of fuzzy numbers\",\"authors\":\"J. Kupka\",\"doi\":\"10.2991/eusflat.2011.5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is a contribution to the theoretical foundations of the theory of fuzzy dynamical systems. More precisely, we study relations between a given discrete dynamical system on the space X and its fuzzy counterpart Zadeh’s extension defined on the space of fuzzy sets on X . We provide a short discussion and a brief survey of some recent results devoted to various (especially chaotic) dynamical properties, a special attention is paid to fuzzifications on the space of fuzzy numbers, i.e., to fuzzy sets with connected α-cuts.\",\"PeriodicalId\":403191,\"journal\":{\"name\":\"EUSFLAT Conf.\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EUSFLAT Conf.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/eusflat.2011.5\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"EUSFLAT Conf.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/eusflat.2011.5","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamical properties in the space of fuzzy numbers
This paper is a contribution to the theoretical foundations of the theory of fuzzy dynamical systems. More precisely, we study relations between a given discrete dynamical system on the space X and its fuzzy counterpart Zadeh’s extension defined on the space of fuzzy sets on X . We provide a short discussion and a brief survey of some recent results devoted to various (especially chaotic) dynamical properties, a special attention is paid to fuzzifications on the space of fuzzy numbers, i.e., to fuzzy sets with connected α-cuts.
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