Savaş, Ekrem2024-10-122024-10-1220091793-00571793-7027https://doi.org/10.1142/S1793005709001507https://hdl.handle.net/11467/8685This paper presents the asymptotically lacunary sigma-statistical equivalent which is a natural combination of the definition for asymptotically equivalent, invariant mean and lacunary statistical convergence of fuzzy numbers. In addition, we shall also present asymptotically lacunary sigma-statistical equivalent analogs of Savas and Nuray's theorems in Ref. 8.eninfo:eu-repo/semantics/closedAccessFuzzy NumbersAsymptotically EquivalentAsymptotically Lacunary Statistical EquivalentInvariant MeanArticle53589598N/AWOS:00021683030000410.1142/S1793005709001507