Generalized neighborhood system-based rough sets (GNSs) play a key part in rough set
theory. In this paper, we introduce a new approach to GNSs from the aspects of convex …

In this paper we investigate the mathematical foundations of the notion of similarity between
objects in relation to the granulations on a decision table D. First of all, we compare the …

In rough set theory (RST), and more generally in granular computing on information tables
(GRC-IT), a central tool is the Pawlak's indiscernibility relation between objects of a universe …

In Pawlak's theory of information systems, one has a collection of objects and knows the
values of any object with respect a certain class of properties, usually called attributes. An …

In this paper we study decision tables from a more general and abstract outlook. We focus
our attention on consistency and inconsistency of decision tables. The starting point of our …

S-approximation spaces generalize models of two-universe by defining a decision mapping,
which in fact is an extension of the approximation operator in a two-universe model. In this …

Attribute dependency and approximation accuracy measures are two fundamental notions in
rough set and database theory. In this paper, we provide combinatorial closed formulas and …

In this thesis we introduce two types of symmetry notions, local and global, that are
applicable to many different mathematical contexts. To be more specific, let Ω be a fixed set …

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