In this paper, we introduce the concepts of integral Gamma(2 lambda I) statistical convergence and strongly integral Gamma(2 lambda I) of real numbers. It is also shown that integral Gamma(2 lambda I) statistical convergence and strongly integral Gamma(2 lambda I) are equivalent for analytic sequences of real numbers. We introduce certain new double sequence spaces of integral Gamma(2 lambda I) of fuzzy real numbers defined by I - convergence using sequences of Musielak-Orlicz functions and also study some basic topological and algebraic properties of these spaces, investigate the inclusion relations between these spaces. (C) 2017 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
C1 [Ozdemir, M. Kemal] Inonu Univ, Dept Math, Sci & Arts Fac, TR-44280 Malatya, Turkey.
[Nagarajan, Subramanian] SASTRA Univ, Dept Math, Thanjavur 613401, India.
[Esi, Ayhan] Adiyaman Univ, Dept Math, Sci & Arts Fac, TR-02040 Adiyaman, Turkey.