In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.

We present an extremely simple and effective signal processing solution to the acoustic echo control problem. The approach is based on the concept of synchronous statistical adaptation of an acoustic echo canceler and a postfilter for residual echo suppression. The required convergence state of the echo canceler is estimated by a new statistical element of our system. Double talk detection is n...

The goal of this work is the further development of neoclassical analysis, which extends the scope and results of the classical mathematical analysis by applying fuzzy logic to conventional mathematical objects, such as functions, sequences, and series. This allows us to reflect and model vagueness and uncertainty of our knowledge, which results from imprecision of measurement and inaccuracy of...

The main object of this paper is to introduce a new concept of weak statistically Cauchy sequence in a normed space. It is shown that in a reflexive space, weak statistically Cauchy sequences are the same as weakly statistically convergent sequences. Finally, weak statistical convergence has been discussed in l p spaces. under the Creative Commons Attribution License, which permits unrestricted...

Our goal in this work is to introduce the notion [V, λ] (I)2-summability and ideal λ-double statistical convergence of order α with respect to the intuitionistic fuzzy norm (μ, v). We also make some observations about these spaces and prove some inclusion relations.