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In this paper, we intend to make a new approach to introduce the concept of tn-statistical convergence of complex uncertain sequences like tn-statistical convergence almost surely (a.s.), tn-statistical convergence in measure, tn-statistical convergence in mean, tn-statistical convergence in distribution and tn-statistical convergence in uniformly almost surely (u.a.s). Various inclusion relations are established between newly formed sequence spaces.

In the present paper, we establish relations between equi-statistical convergence and lacunary equi-statistical convergence of sequences of fuzzy number valued functions. We make an effort to prove Korovkin type approximation theorem via lacunary equi-statistical convergence in fuzzy spaces. Further, we study rates of lacunary equi-statistical fuzzy convergence by using fuzzy modulus of continuity.

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