由连续阿基米德t模的偏导数重建可加性生成器

2010 40th IEEE International Symposium on Multiple-Valued Logic Pub Date : 2010-05-26 DOI:10.1109/ISMVL.2010.52

M. Navara, Milan Petrík, Peter Sarkoci

{"title":"由连续阿基米德t模的偏导数重建可加性生成器","authors":"M. Navara, Milan Petrík, Peter Sarkoci","doi":"10.1109/ISMVL.2010.52","DOIUrl":null,"url":null,"abstract":"The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Reconstruction of Additive Generators from Partial Derivatives of Continuous Archimedean t-Norms\",\"authors\":\"M. Navara, Milan Petrík, Peter Sarkoci\",\"doi\":\"10.1109/ISMVL.2010.52\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.\",\"PeriodicalId\":447743,\"journal\":{\"name\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 40th IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2010.52\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 40th IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2010.52","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文给出了连续阿基米德三角范数的一阶偏导数与其加性生成的一阶导数的直接对应关系。得到了加性发生器的显式公式。将所得结果应用于严格三角模的凸组合问题。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Reconstruction of Additive Generators from Partial Derivatives of Continuous Archimedean t-Norms

The paper shows a direct correspondence between the first partial derivatives of a continuous Archimedean triangular norm and the first derivatives of its additive generator. An explicit formula for the additive generator is obtained. Application of the result is demonstrated on the problem of convex combinations of strict triangular norms.

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

2010 40th IEEE International Symposium on Multiple-Valued Logic

自引率

0.00%

发文量

期刊最新文献

Toffoli Gate Implementation Using the Billiard Ball Model Queries with Multivalued Logic-Based Semantics for Imperfect Information Fusion On the Number of Products to Represent Interval Functions by SOPs with Four-Valued Variables Spectral Techniques: The First Decade of the XXI Century (Invited Paper) Efficient Simulation-Based Debugging of Reversible Logic