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Prime (m,n) Bi-Γ -Hyperideals in Γ -Semihypergroups |
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PP: 2243-2249 |
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Author(s) |
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Naveed Yaqoob,
Muhammad Aslam,
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Abstract |
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| 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. |
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