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Author Country (or Countries)

Pakistan

Abstract

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.

Suggested Reviewers

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Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/090354

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