Characterizations of Hemirings Based on Probability Spaces

The notion of falling fuzzy h-ideals of a hemiring is introduced on the basis of the theory of falling shadows and fuzzy sets. Then the relations between fuzzy h-ideals and falling fuzzy h-ideals are described. In particular, by means of falling fuzzy h-ideals, the charac-terizations of h-hemiregula...

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Main Authors: Bin Yu, Jianming Zhan
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/716435
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author Bin Yu
Jianming Zhan
author_facet Bin Yu
Jianming Zhan
author_sort Bin Yu
collection DOAJ
description The notion of falling fuzzy h-ideals of a hemiring is introduced on the basis of the theory of falling shadows and fuzzy sets. Then the relations between fuzzy h-ideals and falling fuzzy h-ideals are described. In particular, by means of falling fuzzy h-ideals, the charac-terizations of h-hemiregular hemirings are investigated based on independent (prefect positive correlation) probability spaces.
format Article
id doaj-art-e9357dc0f81c48478d5160fb66293b09
institution DOAJ
issn 1110-757X
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-e9357dc0f81c48478d5160fb66293b092025-08-20T03:21:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/716435716435Characterizations of Hemirings Based on Probability SpacesBin Yu0Jianming Zhan1Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaDepartment of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaThe notion of falling fuzzy h-ideals of a hemiring is introduced on the basis of the theory of falling shadows and fuzzy sets. Then the relations between fuzzy h-ideals and falling fuzzy h-ideals are described. In particular, by means of falling fuzzy h-ideals, the charac-terizations of h-hemiregular hemirings are investigated based on independent (prefect positive correlation) probability spaces.http://dx.doi.org/10.1155/2013/716435
spellingShingle Bin Yu
Jianming Zhan
Characterizations of Hemirings Based on Probability Spaces
Journal of Applied Mathematics
title Characterizations of Hemirings Based on Probability Spaces
title_full Characterizations of Hemirings Based on Probability Spaces
title_fullStr Characterizations of Hemirings Based on Probability Spaces
title_full_unstemmed Characterizations of Hemirings Based on Probability Spaces
title_short Characterizations of Hemirings Based on Probability Spaces
title_sort characterizations of hemirings based on probability spaces
url http://dx.doi.org/10.1155/2013/716435
work_keys_str_mv AT binyu characterizationsofhemiringsbasedonprobabilityspaces
AT jianmingzhan characterizationsofhemiringsbasedonprobabilityspaces