IOSR Journal of Engineering (IOSRJEN) ISSN: 2250-3021 Volume 2, Issue 6 (June 2012), PP 1534-1538 www.iosrjen.org ISSN: 2250-3021 www.iosrjen.org 1534 | P a g e An Analysis of Students Problem That Affects Their Studies Using Fuzzy Max-Min Composition Technique 1 M.GeethaLakshmi, 2 N.Jose parvin Praveena, 3 A.RajKumar 1 KCG College of Technology, 2 KCG College of Technology, 3 Hindustan University. Abstract: - An Introduction of a new technique named fuzzy max-min composition to study Sanchez’s approach for the analysis of Students Problems that affects their studies with the help of Intuitionistic fuzzy sets. Through a survey we discuss about the problems of Students and with that problem and with the help of Intuitionistic fuzzy relations along with max-min composition technique we analyse the problems Students that affects their Studies. Key words: - Fuzzy set, Intuitionistic fuzzy set (IFS), Intuitionistic fuzzy relations (IFR), max-min operation. I. Introduction Education is one of the most important aspects in society and hence should be taken with optimal seriousness. Students play a major role and Many students have an absolute desire to study in various colleges. In the process of learning, there are many different problems that face students either within the Campus or outside the campus. These problems are very severe that most of the college students are unable to adequately and competently complete their studies. Some students are having great problems in paying their fees which have hiked up at a very high rate. This has made many students fail to complete their undergraduate courses as they cannot pay the whole amount of money required. It has been indicated that, the prices of text books which are very essential to the students are very high hence causing most of the students in college to fail to utilize them. Financial problems among college students typically lead to their drop in studies as they are in most cases stressed up. Some students will be having problems in their studies and hence problems will increase since their credits will lower Despite the fact that most of the college students faced with problems of homesickness, a number of students at one time or the other get homesick. Some students study more than three hours before getting back to their homes and hence chances of getting homesick are noticeable. Some of them facing Drowsiness, some face Memory Loss, Some facing Family Problems, Some Facing Adolescent Problems etc., all these problems have indicated that, students are at great risk of failing to complete their courses. Using max-min technique we are going to analyze the common problems of students that affect their studies with the help of Intuitionistic fuzzy relations. In real world, we frequently deal with vague or imprecise information.Information available is sometimes vague, sometimes inexact or sometimes insufficient. Out of several higher order fuzzy sets, intuitionistic fuzzy sets (IFS) [1, 2] have been found to be highly useful to deal with vagueness. There are situations where due to insufficiency in the information available, the evaluation of membership values is not possible up to our satisfaction. Due to the some reason, evaluation of non-membership values is not also always possible and consequently there remains a part in deterministic on which hesitation survives. Certainly fuzzy sets theory is not appropriate to deal with such problem, rather IFS theory is more suitable. Out of several generalizations of fuzzy set theory for various objectives, the notion introduced by Atanassov [1] in defining intuitionistic fuzzy sets is interesting and useful. Fuzzy sets are intuitionistic fuzzy sets but the converse is not necessarily true [1]. In fact there are situations where IFS theory is more appropriate to deal with [8]. Besides, it has been cultured in [9] that vague sets [11] are nothing but IFS. In the present paper we use Sanchez's method for analysis of students problem using the notion of IFS theory. II. Preliminaries We give here some basic definitions, which are used in our next section. Definition Let a set E be fixed. An Intuitionistic fuzzy sets or IFS A in E is an object having the form A=ݔ,  ܣ ݔ,  ܣ (ݔ)/x ϵ E  where the functions  ܣ : E → [0, 1] and  ܣ : E → [0, 1] define the degree of membership and degree of non -membership respectively of the element xϵE to the set A, which is a subset of E, and for every x ϵ E, 0 ≤  ܣ ݔ +  ܣ (ݔ) ≤ 1.