INTERNATIONAL JOURNAL OF INNOVATIVE TRENDS IN ENGINEERING (IJITE) ISSN: 2395-2946 VOLUME-07, NUMBER-01, 2015 Application of Intuitionistic Fuzzy Sets In Decision Making Problem Using Revised Max-Min Composition Technique P. Gomathi Sundari 1 , P.Thiruveni 2 , A. Mohamed Ali 3 1 Assistant Professor, Department of Mathematics, Rajah Serfoji Govt. College (Autonomous), Thanjavur-613005 2 Department of Mathematics, Rajah Serfoji Govt. College (Autonomous), Thanjavur-613005 3 Department of Mathematics, Jamal Mohamed College(autonomous), Trichy – 620020 Abstract— In this paper, we proposed an application of intuitionistic fuzzy sets in career determination using max-min average composition for intuitionistic fuzzy sets. Index Terms— Fuzzy Set, Intuitionistic Fuzzy set, Max-Min Average Compostion, Career Determination. 1. INTRODUCTION The notion of fuzzy set was proposed by Zadeh in 1965 as a frame work to encounter uncertainly, vagueness and partial truth, represents a degree of membership for each member of the universe of discourse to a subset of it. Intuitionistic fuzzy set was proposed by Atanassov [1, 2] in 1986, it consist of membership function as well as non membership function of a certain set of data, which looks more accurate to uncertainty quantification and provided the opportunity to precisely model the problem based on the existing knowledge and observations. The intuitionistic fuzzy set theory has been studied and applied in different areas. The intuitionistic fuzzy sets can be more relevant for application for solutions of decision making problems particularly in medical diagnosis, marketing and financial services. In 2012, Ejegwa et al [9]. proposed an application of intuitionistic fuzzy sets in career determination using normalized hamming distance. Thiruveni et al. introduced medical diagnostic reasoning using extended hausdroff distance for intuitionistic fuzzy sets. In this paper, the concept of max-min average composition is used. Discuss an application of intuitionistic fuzzy sets using the same technique. 2. PRELIMINARIES In this section contains some basic definitions, which are used, in our next section. DEFINITION 2.1 Intuitionistic fuzzy set was introduced first time by Atanassov [1] which is a generalization of an ordinary Zadeh fuzzy set. Let X be a fixed set. An intuitionistic fuzzy set A in X is an object having the form { , ( ), () / } A A A x x x x X µ ν =< > ∈ (1) where the functions ( ), ( ): [0,1] A A x x X µ ν → are the degree of membership and the degree of non- membership of the element x X ∈ to  , respectively; moreover, 0 () () 1 A A x x µ ν ≤ + ≤ must hold. bviously, each fuzzy set may be represented by the following intuitionistic fuzzy set { , ( ),1 () } A A A x x x µ µ =< − > (2) In addition to that, we also include the hesitation margin, () 1 () () A A A x x x π µ ν = − − { , ( ), ( ), () / } A A A A x x x x x X µ ν π =< > ∈ (3) DEFINITION 2.2 If A and B are two IFS of the set X, the A B ⊆ if and only if ∀ ∈, () () A B x x µ µ ≤ and () () A B v x v x ≥ . 30