Generalized Rough Γ-Hyperideals in Γ-Semihypergroups

Generalized Rough Γ-Hyperideals in Γ-Semihypergroups

Davvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals...

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Main Authors: Naveed Yaqoob, Shamsul Haq
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/658252
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spelling doaj-9a8f0262ccec40c889bc5282a78898442020-11-24T21:06:56ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/658252658252Generalized Rough Γ-Hyperideals in Γ-SemihypergroupsNaveed Yaqoob0Shamsul Haq1Department of Mathematics, Quaid-i-Azam University, Islamabad, PakistanNatural Resource and Engineering Department, University of Kurdistan Hewlr, Kurdistan Region, IraqDavvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals in terms of set-valued homomorphisms, which are extended notions of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals of Γ-semihypergroups.http://dx.doi.org/10.1155/2014/658252
collection DOAJ
language English
format Article
sources DOAJ
author Naveed Yaqoob
Shamsul Haq
spellingShingle Naveed Yaqoob
Shamsul Haq
Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
Journal of Applied Mathematics
author_facet Naveed Yaqoob
Shamsul Haq
author_sort Naveed Yaqoob
title Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
title_short Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
title_full Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
title_fullStr Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
title_full_unstemmed Generalized Rough Γ-Hyperideals in Γ-Semihypergroups
title_sort generalized rough γ-hyperideals in γ-semihypergroups
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description Davvaz (2008) introduced the concept of set-valued homomorphism and T-rough sets in a group. In this paper, we consider the set-valued homomorphism T on Γ-semihypergroup H to interpret the lower and upper approximations. We study the roughness of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals in terms of set-valued homomorphisms, which are extended notions of (m,n) bi-Γ-hyperideals and (m,n) quasi-Γ-hyperideals of Γ-semihypergroups.
url http://dx.doi.org/10.1155/2014/658252
work_keys_str_mv AT naveedyaqoob generalizedroughghyperidealsingsemihypergroups
AT shamsulhaq generalizedroughghyperidealsingsemihypergroups
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