{"title":"A Note on L-R Hexagonal Fuzzy Matrices with Matrix Norm","authors":"D. Stephen Dinagar, U. Narayanan","doi":"10.5899/2018/JFSVA-00427","DOIUrl":null,"url":null,"abstract":"Fuzzy matrices play an important role to model several uncertain systems. In this paper, we define two norms namely ‘sup norm’ and ‘operator norm’ of L-R Hexagonal fuzzy matrix (L-R HFM). We also relate the norm of L-R HFM in the distance d(?̂?LR , ?̂?LR). An analytical concept of power series and invertibility under the norm of L-R HFM have been studied. Some of the relevant properties, theorems based on the norms are investigated.","PeriodicalId":308518,"journal":{"name":"Journal of Fuzzy Set Valued Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fuzzy Set Valued Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5899/2018/JFSVA-00427","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Fuzzy matrices play an important role to model several uncertain systems. In this paper, we define two norms namely ‘sup norm’ and ‘operator norm’ of L-R Hexagonal fuzzy matrix (L-R HFM). We also relate the norm of L-R HFM in the distance d(?̂?LR , ?̂?LR). An analytical concept of power series and invertibility under the norm of L-R HFM have been studied. Some of the relevant properties, theorems based on the norms are investigated.