Available online at www.worldscientificnews.com ( Received 22 February 2018; Accepted 05 March 2018; Date of Publication 06 March 2018 ) WSN 95 (2018) 159-166 EISSN 2392-2192 On some triple sequence spaces of   Ayhan Esi 1 and Subramanian Nagarajan 2 1 Department of Mathematics, Faculty of Arts and Sciences, Adiyaman University, Turkey 2 Department of Mathematics, Sastra University, Thanjavur, Tamil Nadu, India 1,2 E-mail address: aesi23@hotmail.com , nsmaths@gmail.com ABSTRACT We introduce the concepts in probability of rough lacunary statistical convergence and N θ - rough convergence of a triple sequence spaces of real numbers and discuss general properties of above rough convergence. Keywords: Rough lacunary statistical convergence, triple sequences, N θ - convergence, chi sequence 1. INTRODUCTION The idea of rough convergence was introduced by Phu [11], who also introduced the concepts of rough limit points and roughness degree. The idea of rough convergence occurs very naturally in numerical analysis and has interesting applications. Aytar [1] extended the idea of rough convergence into rough statistical convergence using the notion of natural density just as usual convergence was extended to statistical convergence. Pal et al. [10] extended the notion of rough convergence using the concept of ideals which automatically extends the earlier notions of rough convergence and rough statistical convergence. A triple sequence (real or complex) can be defined as a function        () where   and  denote the set of natural numbers, real numbers and complex numbers respectively. The different types of notions of triple sequence was introduced and investigated