{"title":"关于具有矩阵范数的L-R六边形模糊矩阵的一个注记","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":"{\"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}","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}
A Note on L-R Hexagonal Fuzzy Matrices with Matrix Norm
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.
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