Carmel Richard et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 1( Version 1), January 2014, pp.327-334 www.ijera.com 327 | Page Nutrition Modeling Through Nano Topology M. Lellis Thivagar * , Carmel Richard ** *(School of Mathematics, Madurai Kamaraj University, Madurai-625021, Tamil Nadu, India) ** (Department of Mathematics, Lady Doak College, Madurai – 625002, Tamilnadu India) ABSTRACT Nutrition is the provision, to cells and organisms, of the materials necessary in the form of food to support life. Many common health problems can be prevented or alleviated with a healthy, balanced diet. The purpose of this paper is to apply topological reduction of attributes in set-valued ordered information systems in finding the key foods suitable for two age groups in order to be healthy. We have already introduced a new topology called nano topology. The tactic applied here is in terms of basis of nano topology. Keywords - Core, Dominance relation, Lower approximation, Nano-open sets , Nano topology, Set valued information system, Upper approximation I. INTRODUCTION “A sound mind in a sound body” is a well -known adage. A sound body is impossible without proper food and nourishment. Healthy people have good stamina and physique, are active mentally and physically, have endurance, vigor and vitality and are good natured. There are six major classes of nutrients: carbohydrates, fats, minerals, protein, vitamins, and water, of which water is very essential. Each nutrient serves one or more of the following general functions. Carbohydrates and fats supply heat, energy and power. Proteins, minerals, vitamins build and promote growth, renew body tissues and regulate body process. For practical purposes, the recommended daily dietary allowances have been classified into the following basic food groups representedas a table as well as a food pyramid. Group Food stuff Main nutrient constitution I Vegetables and fruits carbohydrates, vitamins,minerals II Milk and milk products carbohydrates, protein, fats III Meat, poultry and fish protein, fats IV Pulses and cereals carbohydrates, protein, minerals. V Oil, ghee and butter protein , fats Table 1 General Topology is vast and has many different inventions and interactions with other fields of Mathematics and Science. Topology based methods are of increasing importance in the analysis and visualization of all forms of field data.In this paper, we have used a new topology in set valued ordered information systems in finding the key foods necessary for adolescent girls and children to be healthy. The topology that we have used here is called nano topology which is named so due to its size , because it can have only a maximum of five elements in it. II. PRELIMINARIES Definition 2.1 [12] :A set-valued information system is a quadruple ) , , , ( = f V A S U where U is a non- empty finite set of objects, A is a finite set of attributes, V = a V  where a V is a domain of the attribute „a‟, ) ( : V A f P U   is a function such that for every U  x and a V a x f A a   ) , ( , . Also we assume that 1 ) , (  a x f . The attribute set A is divided into two subsets- a set C condition attributes and a decision attribute, d where C  = } { d  . RESEARCH ARTICLE OPEN ACCESS