On some anti $\lambda$-Ideal convergent fuzzy double sequence spaces which contains $_2l_{\infty},~ _2c ~\mbox{and}~ _2c_{0}$

Abstract

The concept of fuzzy sets was introduced by Zadeh as a means of representing data that was not precise but rather fuzzy. Recently,  Ko$\check{c}$inac \cite{L.D} studied some topological properties of fuzzy antinormed linear spaces. This has motivated us to introduce and study the fuzzy antinormed double sequence spaces with respect to ideal by using  a bounded linear operator and prove some theorems, in particular convergence and completeness theorems on these  new double sequence spaces.