Annals of Fuzzy Mathematics and Informatics Volume 3, No. 1, (January 2012), pp. 133- 149 ISSN 2093–9310 http://www.afmi.or.kr @FMI c  Kyung Moon Sa Co. http://www.kyungmoon.com On intuitionistic fuzzy compact linear operators N. Thillaigovindan, S. Anita Shanthi Received 6 June 2011; Accepted 12 July 2011 Abstract. The aim of this paper is to introduce the concept of in- tuitionistic fuzzy compact linear operators from one intuitionistic fuzzy n-normed linear space to another. Some interesting properties of intu- itionistic fuzzy compact linear operators are also established. 2010 AMS Classification: 46S40, 03E72 Keywords: Intuitionistic fuzzy bounded operators, Intuitionistic fuzzy compact set, Intuitionistic fuzzy compact operators, Intuitionistic fuzzy continuous operators. Corresponding Author: N. Thillaigovindan (thillai n@sify.com ) 1. Introduction Motivated by the theory of n-normed linear space [7, 8, 9, 10, 11, 12] and fuzzy normed linear space [1, 2, 3, 4, 5, 6] the notions of fuzzy n-normed linear space [13] and intuitionistic fuzzy n-normed linear space [14] have been developed. Also in [14] various types of continuities of operators and boundedness of linear operators over intuitionistic fuzzy n-normed linear spaces have been discussed. In this paper we introduce the notion of intuitionistic fuzzy compact operators between intuitionistic fuzzy n-normed linear spaces and prove some results relating to these operators. 2. Preliminaries In this section we recall some useful definitions and results. Definition 2.1 ([13]). Let X be a linear space over a field F. A fuzzy subset N of X n × R is called a fuzzy n-norm on X if and only if (N1) For all t ∈ R with t ≤ 0, N (x 1 ,x 2 , ··· ,x n ,t)=0, (N2) For all t ∈ R with t> 0, N (x 1 ,x 2 , ··· ,x n ,t) = 1 if and only if x 1 ,x 2 , ··· ,x n are linearly dependent, (N3) N (x 1 ,x 2 , ··· ,x n ,t) is invariant under any permutation of x 1 ,x 2 , ··· ,x n ,