Login New user?  
01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 9 > No. 3


Classifications and Properties of (α,β )-Fuzzy Ideals in Ternary Semigroups

PP: 1575-1585
Noor Rehman, Muhammd Shabir, Young Bae Jun,
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.

  Home   About us   News   Journals   Conferences Contact us Copyright naturalspublishing.com. All Rights Reserved