Results 151 to 160 of about 39,193 (212)
Some of the next articles are maybe not open access.
2017
This chapter discusses the basic preliminaries of rough set theory (RST). Since its inception, RST has been a prominent tool for data analysis due to its analysis friendly nature. RST provides a range of data structures, e.g. information systems, decision systems and approximations, to represent the real-world data.
Muhammad Summair Raza, Usman Qamar
+4 more sources
This chapter discusses the basic preliminaries of rough set theory (RST). Since its inception, RST has been a prominent tool for data analysis due to its analysis friendly nature. RST provides a range of data structures, e.g. information systems, decision systems and approximations, to represent the real-world data.
Muhammad Summair Raza, Usman Qamar
+4 more sources
Chemometrics and Intelligent Laboratory Systems, 1999
Abstract The basic concepts of the rough set theory are introduced and adequately illustrated. An example of the rough set theory application to the QSAR classification problem is presented. Numerous earlier applications of rough set theory to the various scientific domains suggest that it also can be a useful tool for the analysis of inexact ...
Walczak, Beata, Massart, Desire
openaire +2 more sources
Abstract The basic concepts of the rough set theory are introduced and adequately illustrated. An example of the rough set theory application to the QSAR classification problem is presented. Numerous earlier applications of rough set theory to the various scientific domains suggest that it also can be a useful tool for the analysis of inexact ...
Walczak, Beata, Massart, Desire
openaire +2 more sources
2008
Rough set theory (RST), since its introduction in Pawlak (1982), continues to develop as an effective tool in classification problems and decision support. In the majority of applications using RST based methodologies, there is the construction of ‘if .. then ..’ decision rules that are used to describe the results from an analysis.
Shashi Shekhar, Hui Xiong
openaire +2 more sources
Rough set theory (RST), since its introduction in Pawlak (1982), continues to develop as an effective tool in classification problems and decision support. In the majority of applications using RST based methodologies, there is the construction of ‘if .. then ..’ decision rules that are used to describe the results from an analysis.
Shashi Shekhar, Hui Xiong
openaire +2 more sources
Efficient Rough Set Theory Merging [PDF]
Fundamenta Informaticae, 2014 Theory exploration is a term describing the development of a formal approach to selected topic, usually within mathematics or computer science, with the help of an automated proof-assistant. This activity however usually doesn't reflect the view of science considered as a whole, not as separated islands of knowledge.
openaire +2 more sources
Fundamenta Informaticae, 2017
In this paper we apply rough set theory to information tables induced from finite directed graphs without loops and multiples arcs (digraphs). Specifically, we use the adjacency matrix of a digraph as a particular type of information table. In this way, we are able to explore on digraphs the notions of indiscernibility partitions, lower and upper ...
Giampiero Chiaselotti +3 more
openaire +1 more source
In this paper we apply rough set theory to information tables induced from finite directed graphs without loops and multiples arcs (digraphs). Specifically, we use the adjacency matrix of a digraph as a particular type of information table. In this way, we are able to explore on digraphs the notions of indiscernibility partitions, lower and upper ...
Giampiero Chiaselotti +3 more
openaire +1 more source
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2008
For further studying the theories and applications of rough sets (RS), this paper proposes a new theory on RS, which mainly includes topological space, topological properties, homeomorphism, and its properties on RS by some new definitions and theorems given.
QingE, Wu +3 more
openaire +2 more sources
For further studying the theories and applications of rough sets (RS), this paper proposes a new theory on RS, which mainly includes topological space, topological properties, homeomorphism, and its properties on RS by some new definitions and theorems given.
QingE, Wu +3 more
openaire +2 more sources
Generalizing Rough Set Theory Through Dominance-Based Rough Set Approach
2005Ordinal properties of data related to preferences have been taken into account in the Dominance-based Rough Set Approach (DRSA). We show that DRSA is also relevant in case where preferences are not considered but a kind of monotonicity relating attribute values is meaningful for the analysis of data at hand.
GRECO, Salvatore +2 more
openaire +3 more sources
Morphisms in Binary Rough Set Theory
Fundamenta Informaticae, 2020Some scholars have proposed homomorphisms between information systems based on consistent functions. However, the binary relations in the codomain induced by consistent functions thoroughly depend on the binary relations induced by the original domain systems.
openaire +1 more source
The Rough Sets Theory and Evidence Theory
Fundamenta Informaticae, 1990The aim of the paper is to show some connections between the rough sets theory and the Dempser-Shafer approach. We prove that for every Pawlak’s approximation space there exists a Dempster-Shafer space with the qualities of the lower and upper approximations of sets in the approximation space equal to the credibility and plausibility of sets in the ...
openaire +2 more sources
Rough sets theory for multicriteria decision analysis
European Journal of Operational Research, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GRECO, Salvatore +2 more
openaire +3 more sources