Quantitative rough sets based on subsethood measures

Y Yao, X Deng - Information Sciences, 2014 - Elsevier
Subsethood measures, also known as set-inclusion measures, inclusion degrees, rough
inclusions, and rough-inclusion functions, are generalizations of the set-inclusion relation for …

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 …

Inclusion degree: a perspective on measures for rough set data analysis

ZB Xu, JY Liang, CY Dang, KS Chin - Information Sciences, 2002 - Elsevier
Rough set data analysis is one of the main application techniques arising from rough set
theory. In this paper we introduce a concept of inclusion degree into rough set theory and …

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 …

Distance: A more comprehensible perspective for measures in rough set theory

J Liang, R Li, Y Qian - Knowledge-Based Systems, 2012 - Elsevier
Distance provides a comprehensible perspective for characterizing the difference between
two objects in a metric space. There are many measures which have been proposed and …

Rough sets: some extensions

Z Pawlak, A Skowron - Information sciences, 2007 - Elsevier
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A unified framework for characterizing rough sets with evidence theory in various approximation spaces

A Tan, WZ Wu, Y Tao - Information Sciences, 2018 - Elsevier
Different rough set models may be numerically characterized with evidence theory by
adopting different methodologies. That is to say, the evidence theory-based characteristics …

Improvement of the approximations and accuracy measure of a rough set using somewhere dense sets

TM Al-shami - Soft Computing, 2021 - Springer
Rough set theory is a non-statistical approach to handle uncertainty and uncertain
knowledge. It is characterized by two methods called classification (lower and upper …

A survey on rough set theory and applications

GY Wang, YY Yao, H Yu - Chinese Journal of Computers, 2009 - cjc.ict.ac.cn
This paper presents a framework for a systematic study of the rough set theory. Various
views and interpretations of the theory and different approaches to study the theory are …

Rough membership and Bayesian confirmation measures for parameterized rough sets

S Greco, B Matarazzo, R Słowiński - … Workshop on Rough Sets, Fuzzy Sets …, 2005 - Springer
A generalization of the original idea of rough sets and variable precision rough sets is
introduced. This generalization is based on the concept of absolute and relative rough …