定义在离散模糊数集合上的模糊含义

EUSFLAT Conf. Pub Date : 2011-08-06 DOI:10.2991/eusflat.2011.97

J. V. Riera, J. Torrens

{"title":"定义在离散模糊数集合上的模糊含义","authors":"J. V. Riera, J. Torrens","doi":"10.2991/eusflat.2011.97","DOIUrl":null,"url":null,"abstract":"Given an implication function I defined on the finite chain L = {0,...,n}, a method for extending I to the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L (denoted by A L ) is given. The resulting extension is in fact a fuzzy implication on A L preserving some boundary properties. Moreover, if the initial implication I is an S, QL or D-implication on L then its extension is also an S, QL or D-implication on A L , respectively.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"2004 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Fuzzy implications defined on the set of discrete fuzzy numbers\",\"authors\":\"J. V. Riera, J. Torrens\",\"doi\":\"10.2991/eusflat.2011.97\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Given an implication function I defined on the finite chain L = {0,...,n}, a method for extending I to the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L (denoted by A L ) is given. The resulting extension is in fact a fuzzy implication on A L preserving some boundary properties. Moreover, if the initial implication I is an S, QL or D-implication on L then its extension is also an S, QL or D-implication on A L , respectively.\",\"PeriodicalId\":403191,\"journal\":{\"name\":\"EUSFLAT Conf.\",\"volume\":\"2004 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EUSFLAT Conf.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/eusflat.2011.97\",\"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.2011.97","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 7

摘要

给定有限链上定义的隐含函数L ={0，…，n}，给出了将I扩展到离散模糊数集合的一种方法，该离散模糊数集合的支持是包含在L中的连续自然数集合(用a L表示)。所得到的扩展实际上是对L保持某些边界性质的模糊蕴涵。此外，如果初始蕴涵I是L上的S、QL或d蕴涵，则其扩展也是L上的S、QL或d蕴涵。

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

Fuzzy implications defined on the set of discrete fuzzy numbers

Given an implication function I defined on the finite chain L = {0,...,n}, a method for extending I to the set of discrete fuzzy numbers whose support is a set of consecutive natural numbers contained in L (denoted by A L ) is given. The resulting extension is in fact a fuzzy implication on A L preserving some boundary properties. Moreover, if the initial implication I is an S, QL or D-implication on L then its extension is also an S, QL or D-implication on A L , respectively.

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