Prime (m,n) Bi-Γ -Hyperideals in Γ -Semihypergroups

Authors

Naveed Yaqoob, Department of Mathematics, Quaid-i-Azam University, Islamabad, PakistanFollow
Muhammad Aslam

Author Country (or Countries)

Pakistan

Abstract

Relations between rough sets and algebraic structures have been already considered by many mathematicians. Motivated by studying the properties of rough (m,n) bi-G -hyperideals in G -semihypergroups, we now introduced the notion of prime (m,n) bi- G -hyperideals in G -semihypergroups and investigated several properties of these prime (m,n) bi-G -hyperideals. Also we applied the rough set theory to these prime (m,n) bi-G -hyperideals and proved that the lower and upper approximation of a prime (m,n) bi-G - hyperideal is a prime (m,n) bi-G -hyperideal in a G -semihypergroup. In the end we established some results on rough prime (m,n) bi-G -hyperideals in the quotient G -semihypergroups.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080519

Recommended Citation

Yaqoob, Naveed and Aslam, Muhammad (2014) "Prime (m,n) Bi-Γ -Hyperideals in Γ -Semihypergroups," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 19.
DOI: http://dx.doi.org/10.12785/amis/080519
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/19