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A Novel Study on Ordered Anti-Involution LA-Semihypergroups

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In this study, we introduce a new concept called “anti-involution” in relation to ordered LA-semihypergroups. An anti-involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti-involution hyperideals. We studied the anti-involution hyperideals of ordered anti-involution LA-semihypergroups using the rough set theory. In an ordered anti-involution LA-semihypergroup, the ρ -upper and ρ -lower rough approximations of anti-involution hyperideals are an anti-involution hyperideals.
Title: A Novel Study on Ordered Anti-Involution LA-Semihypergroups
Description:
In this study, we introduce a new concept called “anti-involution” in relation to ordered LA-semihypergroups.
An anti-involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed.
We looked at several fundamental results before introducing anti-involution hyperideals.
We studied the anti-involution hyperideals of ordered anti-involution LA-semihypergroups using the rough set theory.
In an ordered anti-involution LA-semihypergroup, the ρ -upper and ρ -lower rough approximations of anti-involution hyperideals are an anti-involution hyperideals.

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