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Classifications and Properties of (α,β )-Fuzzy Ideals in Ternary Semigroups |
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PP: 1575-1585 |
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Author(s) |
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Noor Rehman,
Muhammd Shabir,
Young Bae Jun,
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Abstract |
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| Classifications of (a,b )-fuzzy left (right and lateral) ideals of ternary semigroups are discussed. Relations between (∈,∈
∨q)-fuzzy left (right and lateral) ideals and (q,∈∨q)-fuzzy left (right and lateral) ideals are established. Given special sets, so called
t-q-set and t-∈∨q-set, conditions for the t-q-set and t-∈∨q-set to be left (right and lateral) ideals are considered. Conditions for a
fuzzy set to be an (∈,q)-fuzzy left (right and lateral) ideals, a (q,∈)-fuzzy left (right and lateral)ideals and a (q,∈∨q)-fuzzy left (right
and lateral) ideals are considered. Some new characterizations of weakly regular ternary semigroups are also established. Finally, the
implication-based fuzzy ideals are discussed. |
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