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The focus of this article is on various approaches to discerning patterns in nonempty sets endowed with a proximity (nearness) relation. Patterns arise in repetitions of some form in the arrangement of the parts of a set. To simplify the steps leading to pattern discovery, an approach inspired by M. Kat˘ etov is used, where one proximitises certain parts of… (More)

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. There are two basic types of near sets, namely, spatially near sets and descriptively near sets. By endowing a nonempty set with some form of a nearness (proximity)… (More)

In this paper, the study of the evolution of approximation space theory and its applications is considered in the context of rough sets introduced by Zdziss law Pawlak and information granulation as well as computing with words formulated by Lotfi Zadeh. Central to this evolution is the rough-mereological approach to approximation of information granules.… (More)

This paper introduces an approach to behavioral pattern identification as a part of a study of temporal patterns in complex dynam-ical systems. Rough set theory introduced by Zdziss law Pawlak during the early 1980s provides the foundation for the construction of classifiers relative to what are known as temporal pattern tables. It is quite remarkable that… (More)