The further investigation of covering-based rough sets: uncertainty characterization, similarity measure and generalized models

Z Shi, Z Gong - Information Sciences, 2010 - Elsevier
The notion of rough sets was originally proposed by Pawlak. In Pawlak's rough set theory,
the equivalence relation or partition plays an important role. However, the equivalence …

Relationships between covering-based rough sets and relation-based rough sets

YL Zhang, MK Luo - Information Sciences, 2013 - Elsevier
Rough set theory is an important technique to deal with vagueness and granularity in
information systems. In rough set theory, relation-based rough sets and covering-based …

Relationship between generalized rough sets based on binary relation and covering

W Zhu - Information Sciences, 2009 - Elsevier
Rough set theory is a powerful tool for dealing with uncertainty, granularity, and
incompleteness of knowledge in information systems. This paper systematically studies a …

Properties of the third type of covering-based rough sets

W Zhu, FY Wang - 2007 International Conference on Machine …, 2007 - ieeexplore.ieee.org
Rough set theory has been proposed by Pawlak as a tool for dealing with the vagueness
and granularity in information systems. The core concepts of classical rough sets are lower …

Covering rough sets based on neighborhoods: an approach without using neighborhoods

P Zhu - International Journal of Approximate Reasoning, 2011 - Elsevier
Rough set theory, a mathematical tool to deal with inexact or uncertain knowledge in
information systems, has originally described the indiscernibility of elements by equivalence …

Relationship among basic concepts in covering-based rough sets

W Zhu - Information Sciences, 2009 - Elsevier
Uncertainty and incompleteness of knowledge are widespread phenomena in information
systems. Rough set theory is a tool for dealing with granularity and vagueness in data …

Generalized fuzzy rough sets by conditional probability relations

R Intan, M Mukaidono - … Journal of Pattern Recognition and Artificial …, 2002 - World Scientific
In 1982, Pawlak proposed the concept of rough sets with a practical purpose of representing
indiscernibility of elements or objects in the presence of information systems. Even if it is …

The rough membership functions on four types of covering-based rough sets and their applications

X Ge, P Wang, Z Yun - Information Sciences, 2017 - Elsevier
Pawlak's rough membership functions not only give numerical characterizations of Pawlak's
rough set approximations, but also establishes the relationships between Pawlak's rough …

The fourth type of covering-based rough sets

W Zhu, FY Wang - Information Sciences, 2012 - Elsevier
As a technique for granular computing, rough sets deal with the vagueness and granularity
in information systems. Covering-based rough sets have been proposed to generalize this …

Relationships among generalized rough sets in six coverings and pure reflexive neighborhood system

L Wang, X Yang, J Yang, C Wu - Information Sciences, 2012 - Elsevier
Rough set is a useful tool to deal with partition related uncertainty, granularity, and
incompleteness of knowledge. Although the classical rough set is constructed on the basis …