International Journal of Pure and Applied Mathematics Volume 104 No. 1 2015, 29-42 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu doi: http://dx.doi.org/10.12732/ijpam.v104i1.3 P A ijpam.eu STATISTICAL CONVERGENCE IN FUZZY n-NORMED SPACES B. Surender Reddy 1 , M. Srinivas 2 § 1,2 Department of Mathematics University College of Science Saifabad, Osmania University Hyderabad, Telangana 500004, INDIA Abstract: In this paper we introduce the concept of statistical convergence of a sequence in fuzzy n-normed space and defined limit point, statistical limit point and statistical cluster point of a sequence in fuzzy n-normed space. Also we establish the relationship between limit point, statistical limit point and statistical cluster point of a sequence in fuzzy n-normed space. AMS Subject Classification: 46S40, 41A50 Key Words: fuzzy n-normed space, statistical convergence and statistical Cauchy sequence in fuzzy n-normed Space, statistical limit point and statistical cluster point in fuzzy n-normed space 1. Introduction and Preliminaries The idea of fuzzy norm on a vector space was initiated by Katsaras [15] in [1984]. Later Felbin [17] introduced the concept of fuzzy normed space in [1992] which is based on the concept of fuzzy metric given by Kaleva and Siekkala [16]. They Received: March 24, 2015 c 2015 Academic Publications, Ltd. url: www.acadpubl.eu § Correspondence author