ACCEPTING HEXAGONAL ARRAY SPLICING SYSTEM WITH RESPECT TO ARROWHEADS D.K. Sheena Christy 1 , D.G. Thomas 2 1 Department of Mathematics SRM University, Kattankulathur - 603 203 e-mail: sheena.lesley@gmail.com 2 Department of Mathematics Madras Christian College, Chennai - 600 059 e-mail: dgthomasmcc@yahoo.com Abstract A new approach to Hexagonal array splicing systems as accepting devices is proposed. The accepting models such as accepting hexagonal splicing systems with permitting hexagonal arrays in uniform and non-uniform way based on the splicing operation have been studied and the following results have been obtained: (i) L(AHexASS ) ∩L(HexASS ) = φ (ii) L(AHexASS ) − HLOC = φ (iii) L(AHexASS ) −L n (AHexASS ) = φ (iv) L(AHexASS ) − HKAL = φ (v) L(AHexASS ) − CTOLHAL = φ. AMS Subject Classification: 68Q45. Key Words and Phrases: Two dimensional lan- guages, hexagonal array splicing system, accepting splicing system. Inter national Journal of Pure and Applied Mathematics Volume 113 No. 6 2017, 91 – 100 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special Issue ijpam.eu ijpam.eu 91 2017