~ 720 ~  ISSN Print: 2394-7500 ISSN Online: 2394-5869 Impact Factor: 5.2 IJAR 2015; 1(9): 720-726 www.allresearchjournal.com Received: 28-06-2015 Accepted: 31-07-2015 H Jude Immaculate Department of Mathematics, Nirmala College for women, Coimbatore, Tamilnadu, India. I Arockiarani Department of Mathematics, Nirmala College for women, Coimbatore, Tamilnadu, India. Correspondence H Jude Immaculate Department of Mathematics, Nirmala College for women, Coimbatore, Tamilnadu, India. A new class of connected spaces in intuitionistic topological spaces H Jude Immaculate, I Arockiarani Abstract In this paper we present anew class of connected spaces namely intuitionistic fuzzy d-connected and intuitionistic fuzzy d-extremally disconnected spaces in an intuitionistic fuzzy topological space. We obtain several properties and some characterization concerning connectedness in these spaces. Keywords: intuitionistic fuzzy sets, intuitionistic fuzzy d-open sets, intuitionistic fuzzy d-irresolute mapping, intuitionistic fuzzy d-connectedness. 1. Introduction Ever since the introduction of fuzzy sets by Zadeh [16] , the fuzzy concept has invaded almost all branches of Mathematics. Atanassov [3] introduced the notion of intuitionistic fuzzy sets. Using this notion Coker [6] initiated the concept of intuitionistic fuzzy topological space. Connectedness is one of the basic idea in topology. Turanli et al. [15] introduced several types of fuzzy connectedness in intuitionistic fuzzy topological spaces and investigated some interrelations between them together with the preservation properties under fuzzy continuous functions. The notion of intuitionistic fuzzy d-continuous mappings was introduced by I. Arockiarani et al. [1] . In this paper intuitionistic fuzzy d-connected spaces along with some interesting properties and their characterization are studied. 2. Preliminaries Definition 2.1 [3] : Let X be a nonempty fixed set. An intuitionistic fuzzy set (IFS, for short) A is an object having the form } : ) ( ), ( , { X x x x x A A A       where the function I X A  :  and I X A  :  denote the degree of membership (namely ) ( x A  ) and the degree of nonmembership (namely ) ( x A  ) of each element X x  to the set A, respectively, and 1 ) ( ) ( 0    x x A A   for each X x  . Obviously, every fuzzy set A on a nonempty set X is an IFS having the form } : ) ( 1 ), ( , { X x x x x A A A       . Definition 2.2 [3] : Let X be a nonempty set and the IFS’s A and B be in the form } : ) ( ), ( , { X x x x x A A A       , } : ) ( ), ( , { X x x x x B B B       , and let } : { J j A A j   be an arbitrary family of IFS’s in X. then we define International Journal of Applied Research 2015; 1(9): 720-726