{"title":"Interval-valued intuitionistic fuzzy ideals of K-algebras","authors":"M. Akram, K. H. Dar, B. Meng, K. Shum","doi":"10.5555/1503527.1503529","DOIUrl":"https://doi.org/10.5555/1503527.1503529","url":null,"abstract":"The notion of interval-valued intuitionistic fuzzy sets was first introduced by Atanassov and Gargov in 1989 as a generalization of both interval-valued fuzzy sets and intuitionistic fuzzy sets. In this paper we first apply the concept of interval-valued intuitionistic fuzzy sets to K-algebras. Then we introduce the notion of interval-valued intuitionistic fuzzy ideals (IIFIs, in short) of K-algebras and investigate some interesting properties. We characterize Artinian and Noetherian K-algebras by considering IIFIs of a K-algebra K: Characterization theorems of fully invariant and characteristic IIFIs are also discussed.","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121530143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Weighted Modularity on a k-Path Graph","authors":"Yinghong Ma, Wenqian Wang","doi":"10.1007/978-981-10-0740-8_48","DOIUrl":"https://doi.org/10.1007/978-981-10-0740-8_48","url":null,"abstract":"","PeriodicalId":112268,"journal":{"name":"WSEAS Transactions on Mathematics archive","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126263488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}