Generalized Rough Γ-Hyperideals in Γ-Semihypergroups. (7th July 2014)

• Record Type: Journal Article
• Authors: Yaqoob, Naveed; Haq, Shamsul
• Other Names: Zenkour Ashraf Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2014(2014)
• Publication Date: 2014-07-07
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2014/658252
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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.