In this article we present three inclusion functions which characterise the nearness relation
between finite sets of objects defined in line with JF Peters, A. Skowron, and J. Stepaniuk …

This paper introduces a natural approach in the evaluation of the nearness of sets in
topological spaces. The objective is to classify levels of nearness of sets relative to each …

This article gives a brief overview of near sets. The proposed approach in introducing near
sets is to consider a set theory-based form of nearness (proximity) called discrete proximity …

The focus of this paper is on sets of neighbourhoods that are sufficiently near each other as
yet another way to consider near sets. This study has important implications in M. Katětov's …

Near sets are disjoint sets that resemble each other. Resemblance is determined by
considering set descriptions defined by feature vectors (n-dimensional vectors of numerical …

We investigate the connexion between chainings introduced by F. Riesz to axiomatize the
notion of nearness of two sets and proximities in the wider sense (Cech proximities), and …

Most real life situations need some sort of approximation to fit mathematical models. The
beauty of using topology in approximation is achieved via obtaining approximation for …

In classifying objects relative to nearness (closeness) criteria for databases, the following
near sets sorting problem is commonly encountered. Assume A and B are close sets to each …

The problem considered in this paper is the approximation of sets of perceptual objects that
are qualitatively near each other. A perceptual object is either something presented to the …

The formal content of near set theory can be summarised in terms of three concepts: a
perceptual system, a nearness relation and a near set. Perceptual systems and different …