Some More Results on IF Soft Rough Approximation Space

Sharmistha Bhattacharya (Halder),Bijan Davvaz

doi:10.1155/2011/893061

Sharmistha Bhattacharya (Halder), Bijan Davvaz

Open Access

https://doi.org/10.1155/2011/893061

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Abstract

Fuzzy sets, rough sets, and later on IF sets became useful mathematical tools for solving various decision making problems and data mining problems. Molodtsov introduced another concept soft set theory as a general frame work for reasoning about vague concepts. Since most of the data collected are either linguistic variable or consist of vague concepts so IF set and soft set help a lot in data mining problem. The aim of this paper is to introduce the concept of IF soft lower rough approximation and IF upper rough set approximation. Also, some properties of this set are studied, and also some problems of decision making are cited where this concept may help. Further research will be needed to apply this concept fully in the decision making and data mining problems.

Highlights

Data mining is a technique of extracting meaningful information from large and mostly unorganized data banks
The aim of this paper is to introduce the concept of IF soft lower rough approximation and IF upper rough set approximation
Rough sets introduced by Pawlak 3 are a very useful tool for data mining problems where vagueness is the key factor

Summary

Introduction

Data mining is a technique of extracting meaningful information from large and mostly unorganized data banks. The answers are not always in Yes/No form In this case to deal with such type of data IF set is a very important tool. Zadeh in 1965 1 introduced the concept of fuzzy set. This set contains only a membership function lying between 0 and 1. Atanassov 2 introduced the concept of IF set Rough sets introduced by Pawlak 3 are a very useful tool for data mining problems where vagueness is the key factor. Molodtsov 4 introduced the concept of soft set, and in 2009 Feng et al 5 introduced a combined notion of fuzzy set, rough set, and soft set to deal with complex data which arises in the most social science problems. Our aim is to introduce the concepts of IF soft lower and IF soft upper rough approximations which help a lot for sorting the vague data and tending towards decision

Basic Definitions

On IF Soft Rough Approximations

Conclusion