二类模糊集的不确定性测度

2010 UK Workshop on Computational Intelligence (UKCI) Pub Date : 2010-11-09 DOI:10.1109/UKCI.2010.5625592

Hussam Hamrawi, S. Coupland

{"title":"二类模糊集的不确定性测度","authors":"Hussam Hamrawi, S. Coupland","doi":"10.1109/UKCI.2010.5625592","DOIUrl":null,"url":null,"abstract":"The Extension Principle based on alpha-cuts plays a pivotal role in many applications of type-1 fuzzy sets. We recently defined an alpha-based extension principle for type-2 fuzzy sets. In this paper we investigate the use of the alpha-extension principle to define uncertainty measures for type-2 fuzzy sets. We investigate cardinality, similarity, and subsethood for type-2 fuzzy sets and demonstrate when the alpha-plane representation can be used.","PeriodicalId":403291,"journal":{"name":"2010 UK Workshop on Computational Intelligence (UKCI)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Measures of uncertainty for type-2 fuzzy sets\",\"authors\":\"Hussam Hamrawi, S. Coupland\",\"doi\":\"10.1109/UKCI.2010.5625592\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The Extension Principle based on alpha-cuts plays a pivotal role in many applications of type-1 fuzzy sets. We recently defined an alpha-based extension principle for type-2 fuzzy sets. In this paper we investigate the use of the alpha-extension principle to define uncertainty measures for type-2 fuzzy sets. We investigate cardinality, similarity, and subsethood for type-2 fuzzy sets and demonstrate when the alpha-plane representation can be used.\",\"PeriodicalId\":403291,\"journal\":{\"name\":\"2010 UK Workshop on Computational Intelligence (UKCI)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-11-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 UK Workshop on Computational Intelligence (UKCI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/UKCI.2010.5625592\",\"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 UK Workshop on Computational Intelligence (UKCI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/UKCI.2010.5625592","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 16

摘要

基于α切的可拓原理在1型模糊集的许多应用中起着举足轻重的作用。我们最近定义了一类2型模糊集的基于α的可拓原理。本文研究了利用α -可拓原理来定义2型模糊集的不确定性测度。我们研究了2型模糊集的基数性、相似性和子集性，并证明了何时可以使用α -平面表示。

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

Measures of uncertainty for type-2 fuzzy sets

The Extension Principle based on alpha-cuts plays a pivotal role in many applications of type-1 fuzzy sets. We recently defined an alpha-based extension principle for type-2 fuzzy sets. In this paper we investigate the use of the alpha-extension principle to define uncertainty measures for type-2 fuzzy sets. We investigate cardinality, similarity, and subsethood for type-2 fuzzy sets and demonstrate when the alpha-plane representation can be used.

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 UK Workshop on Computational Intelligence (UKCI)

自引率

0.00%

发文量