关于加权可能性平均算子的可加性

2013 IEEE 14th International Symposium on Computational Intelligence and Informatics (CINTI) Pub Date : 2013-11-01 DOI:10.1109/CINTI.2013.6705211

Lucian C. Coroianu, R. Fullér

{"title":"关于加权可能性平均算子的可加性","authors":"Lucian C. Coroianu, R. Fullér","doi":"10.1109/CINTI.2013.6705211","DOIUrl":null,"url":null,"abstract":"In this paper we study the problem of additivity property of the weighted possibilistic mean operator for interactive fuzzy numbers. We will show that the weighted possibilistic mean operator is additive on the set of symmetric fuzzy numbers if their joint possibility distribution is defined by a t-norm. We will also show some results for general joint-possibility-distribution-based additions of fuzzy numbers of symmetrical opposite sides.","PeriodicalId":439949,"journal":{"name":"2013 IEEE 14th International Symposium on Computational Intelligence and Informatics (CINTI)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On additivity of the weighted possibilistic mean operator\",\"authors\":\"Lucian C. Coroianu, R. Fullér\",\"doi\":\"10.1109/CINTI.2013.6705211\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study the problem of additivity property of the weighted possibilistic mean operator for interactive fuzzy numbers. We will show that the weighted possibilistic mean operator is additive on the set of symmetric fuzzy numbers if their joint possibility distribution is defined by a t-norm. We will also show some results for general joint-possibility-distribution-based additions of fuzzy numbers of symmetrical opposite sides.\",\"PeriodicalId\":439949,\"journal\":{\"name\":\"2013 IEEE 14th International Symposium on Computational Intelligence and Informatics (CINTI)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2013 IEEE 14th International Symposium on Computational Intelligence and Informatics (CINTI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CINTI.2013.6705211\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 IEEE 14th International Symposium on Computational Intelligence and Informatics (CINTI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CINTI.2013.6705211","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

本文研究了交互式模糊数的加权可能性平均算子的可加性问题。我们将证明，如果对称模糊数集合的联合可能性分布由t范数定义，则加权可能性平均算子是可加的。我们还将给出一些基于一般联合可能性分布的对称对边模糊数相加的结果。

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

On additivity of the weighted possibilistic mean operator

In this paper we study the problem of additivity property of the weighted possibilistic mean operator for interactive fuzzy numbers. We will show that the weighted possibilistic mean operator is additive on the set of symmetric fuzzy numbers if their joint possibility distribution is defined by a t-norm. We will also show some results for general joint-possibility-distribution-based additions of fuzzy numbers of symmetrical opposite sides.

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

2013 IEEE 14th International Symposium on Computational Intelligence and Informatics (CINTI)

自引率

0.00%

发文量