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Open AccessJournal ArticleDOI

Rough sets: Some extensions

Zdzisław Pawlak, +1 more
- 01 Jan 2007 - 
- Vol. 177, Iss: 1, pp 28-40
TLDR
Some extensions of the rough set approach are presented and a challenge for the roughSet based research is outlined and it is outlined that the current rough set based research paradigms are unsustainable.
About
This article is published in Information Sciences.The article was published on 2007-01-01 and is currently open access. It has received 1161 citations till now. The article focuses on the topics: Dominance-based rough set approach & Rough set.

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Citations
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Journal ArticleDOI

Machine learning

TL;DR: Machine learning addresses many of the same research questions as the fields of statistics, data mining, and psychology, but with differences of emphasis.
Journal ArticleDOI

Rudiments of rough sets

TL;DR: The basic concepts of rough set theory are presented and some rough set-based research directions and applications are pointed out, indicating that the rough set approach is fundamentally important in artificial intelligence and cognitive sciences.
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Three-way decisions with probabilistic rough sets

TL;DR: This paper provides an analysis of three-way decision rules in the classical rough set model and the decision-theoretic rough set models, enriched by ideas from Bayesian decision theory and hypothesis testing in statistics.
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Rough sets and Boolean reasoning

TL;DR: Methods based on the combination of rough sets and Boolean reasoning with applications in pattern recognition, machine learning, data mining and conflict analysis are discussed.
Book ChapterDOI

Computational Intelligence: An Introduction

TL;DR: The general public becomes rapidly jaded with such ‘bold predictions’ that fail to live up to their original hype, and which ultimately render the zealots’ promises as counter-productive.
References
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Statistical learning theory

TL;DR: Presenting a method for determining the necessary and sufficient conditions for consistency of learning process, the author covers function estimates from small data pools, applying these estimations to real-life problems, and much more.
Book

The Elements of Statistical Learning: Data Mining, Inference, and Prediction

TL;DR: In this paper, the authors describe the important ideas in these areas in a common conceptual framework, and the emphasis is on concepts rather than mathematics, with a liberal use of color graphics.
Journal ArticleDOI

Machine learning

TL;DR: Machine learning addresses many of the same research questions as the fields of statistics, data mining, and psychology, but with differences of emphasis.
Journal ArticleDOI

The Elements of Statistical Learning: Data Mining, Inference, and Prediction

TL;DR: The Elements of Statistical Learning: Data Mining, Inference, and Prediction as discussed by the authors is a popular book for data mining and machine learning, focusing on data mining, inference, and prediction.
Frequently Asked Questions (9)
Q1. What have the authors contributed in "Rough sets: some extensions" ?

In this article, the authors present some extensions of the rough set approach and they outline a challenge for the rough set based research. 

One can see that parameters to be tuned in searching for relevant2 patterns over new information systems are, among others, relational structures over value sets, the language of formulas defining parts, and constraints. 

The rough set approach seems to be of fundamental importance in artificial intelligence and cognitive sciences, especially in research areas such as machine learning, intelligent systems, inductive reasoning, pattern recognition, mereology, image processing, signal analysis, knowledge discovery, decision analysis, and expert systems. 

Information granulation can be viewed as a human way of achieving data compression and it plays a key role in the implementation of the strategy of divide-and-conquer in human problem-solving [98]. 

It was observed in [44] that the key to the presented approach is provided by the exact mathematical formulation of the concept of approximative (rough) equality of sets in a given approximation space. 

One should take into account that modeling complex phenomena entails the use of local models (captured by local agents, if one would like to use the multi-agent terminology [25,99]) that next should be fused. 

By tuning such parameters according to chosen criteria (e.g., minimal description length) one can search for the optimal approximation space for concept description (see, e.g., [4]). 

The ontology approximation problem is one of the fundamental problems related to approximate reasoning in distributed environments. 

Among such problems are, e.g., classification of medical images, control of autonomous systems like unmanned aerial vehicles or robots, problems related to monitoring or rescue tasks in multi-agent systems.