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The final publication is available at IOS Press through http://dx.doi.

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We introduce logarithmic summability in intuitionistic fuzzy normed spaces(IFNS) and give some Tauberian conditions for which logarithmic summability yields convergence in IFNS. Besides, we define the concept of slow oscillation with respect to logarithmic summability in IFNS, investigate its relation with the concept of q-boundedness and give Tauberian theorems by means of q-boundedness and slow oscillation with respect to logarithmic summability. A comparison theorem between Cesàro summability method and logarithmic summability method in IFNS is also proved in the paper. Definition 1.1. [6] The triplicate (N, µ, ν) is said to be an IFNS if N is a real vector space, and µ, ν are fuzzy sets on N × R satisfying the following conditions for every u, w ∈ N and t, s ∈ R:

In the present paper, we have proved theorems dealing with matrix summability factors by using quasi β-power increasing sequences. Some new results have also been obtained. MSC: 40D15; 40F05; 40G99

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