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.
Digital Object Identifier (DOI)
Yaqoob, Naveed and Aslam, Muhammad
"Prime (m,n) Bi-Γ -Hyperideals in Γ -Semihypergroups,"
Applied Mathematics & Information Sciences: Vol. 08:
5, Article 19.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/19