β-Approach to near set theory

Special Approach to Near Set Theory

Multi-valued Approach to Near Set Theory

The aim of this paper is to introduce three approaches to near sets by using a multivalued system. Some fundamental properties and characterizations are given. We obtain a comparison among these types of approximations.

Near Set an Approach Ahead to Rough Set: an Overview

Rough Set Theory is a fairly new concept that has found applications to various soft computing techniques. It offers a set theory approach to manage the uncertainty in data systems. It has been used for the discovery of data dependencies, importance of features, patterns in sample data, feature space dimensionality reduction, and the classification of objects. Objects can be classified by means...

Feature Selection: Near Set Approach

The problem considered in this paper is the description of objects that are, in some sense, qualitatively near each other and the selection of features useful in classifying near objects. The term qualitatively near is used here to mean closeness of descriptions or distinctive characteristics of objects. The solution to this twofold problem is inspired by the work of Zdzis law Pawlak during the...

A New Approach to Predicative Set Theory

We suggest a new basic framework for the Weyl-Feferman predicativist program by constructing a formal predicative set theory PZF which resembles ZF . The basic idea is that the predicatively acceptable instances of the comprehension schema are those which determine the collections they define in an absolute way, independent of the extension of the “surrounding universe”. This idea is implemente...