用lu参数表示求解广义可微模糊微分方程

EUSFLAT Conf. Pub Date : 2011-08-06 DOI:10.2991/eusflat.2011.106

B. Bede, Luciano Stefanini

{"title":"用lu参数表示求解广义可微模糊微分方程","authors":"B. Bede, Luciano Stefanini","doi":"10.2991/eusflat.2011.106","DOIUrl":null,"url":null,"abstract":"The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued functions, to obtain valid approxi- mations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of innitely many ordinary differential equations and, by the LU-parametric representation, the innitely many equations can be approximated efciently by anite set of four ODEs. Some examples are included.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"35","resultStr":"{\"title\":\"Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation\",\"authors\":\"B. Bede, Luciano Stefanini\",\"doi\":\"10.2991/eusflat.2011.106\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued functions, to obtain valid approxi- mations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of innitely many ordinary differential equations and, by the LU-parametric representation, the innitely many equations can be approximated efciently by anite set of four ODEs. Some examples are included.\",\"PeriodicalId\":403191,\"journal\":{\"name\":\"EUSFLAT Conf.\",\"volume\":\"39 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"35\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EUSFLAT Conf.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/eusflat.2011.106\",\"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.2011.106","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 35

摘要

本文利用模糊数和模糊值函数的lu参数表示，得到了模糊广义导数的有效逼近，求解了模糊微分方程。主要结果是模糊微分初值问题可以转化为由无穷多个常微分方程组成的方程组，并且通过lu参数表示，可以用四个ode的集合有效地逼近无穷多个常微分方程。包括一些例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Solution of Fuzzy Differential Equations with generalized differentiability using LU-parametric representation

The paper uses the LU-parametric representation of fuzzy numbers and fuzzy-valued functions, to obtain valid approxi- mations of fuzzy generalized derivative and to solve fuzzy differential equations. The main result is that a fuzzy differential initial-value problem can be translated into a system of innitely many ordinary differential equations and, by the LU-parametric representation, the innitely many equations can be approximated efciently by anite set of four ODEs. Some examples are included.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

EUSFLAT Conf.

自引率

0.00%

发文量