The aim of this paper to construct a new rough set structure for a given ideal and to study many of their properties. 2010 AMS Classification: 54A05, 54H99

We use covers of the universal set to de-ne approximation operators on the power set of the given set. In Section 1, we determine basic properties of the upper approximation operator and show how it can be used to give algebraic structural properties of certain subsets. We de-ne a particular cover on the set of ideals of a commutative ring with identity in such a way that both the concepts of t...

Rough set theory is considered as the most essential strategy significantly suitable for illustrating distinctive sorts of learning styles controlled by the learners during e-learning process through feature information selection. The Rough set hypothesis is likewise utilized for effectively finding relations with conflicting or fragmented information which is incomplete in nature. Be that as i...

Rough set theory is a mathematical approach that deals with the problems of uncertainty and ambiguity in knowledge. Neighborhood systems are most effective instruments for researching rough general. Investigations on boundary regions accuracy measures primarily rely two approximations, namely lower upper by using these systems. The concept ideal, which one successful tools, used to obtain bette...

Data used in machine learning applications is prone to contain both vague and incomplete information. Many authors have proposed to use fuzzy rough set theory in the development of new techniques tackling these characteristics. Fuzzy sets deal with vague data, while rough sets allow to model incomplete information. As such, the hybrid setting of the two paradigms is an ideal candidate tool to c...

Pupil localization is a very important preprocessing step in many machine vision applications. Accurate and robust pupil localization especially in non-ideal eye images (such as images with defocusing, motion blur, occlusion etc.) is a challenging task. In this paper, a detailed method to solve this problem is proposed. This method is implemented in three main steps: first, segment the rough pu...

In this paper Present survey on Data mining, Data mining using Rough set Theory and Data Mining using parallel method for rough set Approximation with MapReduce Technique. With the development of Information technology data growing at a tremendous rate, so big data mining and knowledge discovery become a new challenge. Rough set theory has been successfully applied in data mining by using MapRe...

This paper is devoted to present Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method for multi-attribute group decision making under rough neutrosophic environment. The concept of rough neutrosophic set is a powerful mathematical tool to deal with uncertainty, indeterminacy and inconsistency. In this paper, a new approach for multi-attribute group decision making prob...

In this communication we propose the use of the Augmented Space Recursion as an ideal methodology for the study of electronic and magnetic structures of rough surfaces, interfaces and overlayers. The method can take into account roughness, short-ranged clustering effects, surface dilatation and interdiffusion. We illustrate our method by an application of Fe overlayer on Ag (100) surface.