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Comparative Approaches to Granularity in General Rough Sets [chapter]

A. Mani
2020 Lecture Notes in Computer Science  
This expository paper is intended to explain basic aspects of these from a critical perspective, their range of applications and provide directions relative to general rough sets and related formal approaches  ...  A number of nonequivalent perspectives on granular computing are known in the literature, and many are in states of continuous development.  ...  For example, not all frameworks of granular computing used in general rough sets are compatible with those used in fuzzy sets.  ... 
doi:10.1007/978-3-030-52705-1_37 fatcat:mll3vrtu7rbnvm4km5tacw2q5y

Granular Attribute Selection: A Case Study of Rough Set Approach to MRI Segmentation [chapter]

Sebastian Widz, Dominik Ślęzak
2013 Lecture Notes in Computer Science  
We introduce a new rough set inspired approach to attribute selection.  ...  As a case study, we discuss a rough set framework for multi-spectral Magnetic Resonance Image (MRI) segmentation.  ...  Rough Set Inspired MRI Segmentation As a case study, let us present a rough set based approach to human brain MRI segmentation [6] .  ... 
doi:10.1007/978-3-642-45062-4_5 fatcat:7nbvx4hxdzayng2ba3rsz7imm4

A Semantical Approach to Rough Sets and Dominance-Based Rough Sets [chapter]

Lynn D'eer, Chris Cornelis, Yiyu Yao
2016 Communications in Computer and Information Science  
In this paper, we focus on a semantically sound approach of Pawlak's rough set model and covering-based rough set models.  ...  The conceptual or semantical approach of rough set theory focuses on the meaning and interpretation of concepts, while algorithms to compute those concepts are studied in the computational formulation.  ...  Introduction Rough set theory has two formulations: a conceptual and a computational one [29] .  ... 
doi:10.1007/978-3-319-40581-0_3 fatcat:wo4r6skfivgqhc45nmoio66u2q

A Novel Approach to Generating fuzzy Rules Based on Dynamic Fuzzy Rough Sets

Yi Cheng, Duoqian Miao, Qinrong Feng
2007 2007 IEEE International Conference on Granular Computing (GRC 2007)  
Most rule induction algorithms based on fuzzy rough sets (FRS) usually include two steps: AR and fuzzy rules induction. It's helpful to shorten the time of rule mining to some extent by AR..  ...  We propose a novel approach to generating fuzzy rules which, different from most known fuzzy rules induction, is not based on attributes reduction (AR) but granulation order and variational universe.  ...  From granular computing point of view, a concept is characterized by upper and lower approximations under static granulation in FRS theory defined by Dubois and Prade.  ... 
doi:10.1109/grc.2007.60 dblp:conf/grc/ChengMF07 fatcat:kl3pe4l7cvfflajimd7zh4mowq

A Novel Approach to Generating fuzzy Rules Based on Dynamic Fuzzy Rough Sets

Yi Cheng, Duoqian Miao, Qinrong Feng
2007 2007 IEEE International Conference on Granular Computing (GRC 2007)  
Most rule induction algorithms based on fuzzy rough sets (FRS) usually include two steps: AR and fuzzy rules induction. It's helpful to shorten the time of rule mining to some extent by AR..  ...  We propose a novel approach to generating fuzzy rules which, different from most known fuzzy rules induction, is not based on attributes reduction (AR) but granulation order and variational universe.  ...  From granular computing point of view, a concept is characterized by upper and lower approximations under static granulation in FRS theory defined by Dubois and Prade.  ... 
doi:10.1109/grc.2007.4403082 fatcat:nsrc55om7fhmhhfoa2nsuor7va

A Generalized Multi-granulation Rough Set Approach [chapter]

Weihua Xu, Xiantao Zhang, Qiaorong Wang
2012 Lecture Notes in Computer Science  
A generalized multi-granulation rough set is proposed in this paper.  ...  And it can be found that the proposed model is more valid than old multiple granulation rough set models and Pawlak rough set model.  ...  An equivalence class of an object with respect to an attribute subset is a granularity in the view of granular computing. And a partition of the universe is a granular space.  ... 
doi:10.1007/978-3-642-24553-4_90 fatcat:km2cfd3agjfbrjwry4ujxsmhde

Database Performance Optimization–A Rough Set Approach

Phani Krishna Kishore. M, Leelarani Ch., Aditya. P. V. S. S.
2015 International Journal of Information Technology and Computer Science  
In this paper a novel approach to maintain metadata based on rough sets is proposed and it is observed that with a marginal changes in buffer sizes faster query processing can be achieved.  ...  Several approaches are being investigated in this direction.  ...  For different types of queries the performance in terms of buffer space occupied and the time it takes to compute are calculated in ordinary (without rough set method) and using the rough set approach.  ... 
doi:10.5815/ijitcs.2015.03.07 fatcat:m6ah5qhrrjfqjeq33hqykcqah4

A Variable Precision Fuzzy Rough Set Approach to a Fuzzy-Rough Decision Table

Li-rong JIAN, Ming-yang LI
2016 DEStech Transactions on Computer Science and Engineering  
In order to make decision in fuzzy approximation space, a fuzzy VPRS (variable precision rough set) approach is proposed based on substitution of the indiscernibility relation by a fuzzy indiscernibility  ...  Some set theoretic properties of the proposed approach are discussed.  ...  Essentially, these two theories both study the problems of information granularity.  ... 
doi:10.12783/dtcse/cmsam2016/3614 fatcat:etltohzg7fdzrmevpidncwiemq

Rough Set Approach in Machine Learning: A Review

Prerna Mahajan, Rekha Kandwal, Ritu Vijay
2012 International Journal of Computer Applications  
The Rough Set (RS) theory can be considered as a tool to reduce the input dimensionality and to deal with vagueness and uncertainty in datasets.  ...  The discussion also includes a review of rough set theory in various machine learning techniques like clustering, feature selection and rule induction. General Terms  ...  Research on integrating RST with other contemporary techniques granular computing neural network, genetic algorithms, evolutionary methods is going on and can be found in literature.  ... 
doi:10.5120/8924-2996 fatcat:skb3li5syvbe5kgsz63l43xp7a

Conflict Analysis and Information Systems: A Rough Set Approach [chapter]

Andrzej Skowron, Sheela Ramanna, James F. Peters
2006 Lecture Notes in Computer Science  
The contribution of this paper is a rough set based requirements determination model using a conflict relation for representing requirements agreements (or disagreements).  ...  The basic approach to modeling conflict situations is illustrated in the context of contract negotiation during the initial phases of requirement negotiation for a systems engineering project.  ...  By way of illustration of the rough set approach to conflict analysis and resolution, sample negotiation typically found during a system requirements engineering (SRE) project is considered.  ... 
doi:10.1007/11795131_34 fatcat:n4flzf5ayndefkzyydawlxjjou

A Rough Set Approach to Spatio-temporal Outlier Detection [chapter]

Alessia Albanese, Sankar K. Pal, Alfredo Petrosino
2011 Lecture Notes in Computer Science  
In this paper, we deal with the outlier detection problem in spatio-temporal data and we describe a rough set approach that finds the top outliers in an unlabeled spatio-temporal dataset.  ...  The proposed method, called Rough Outlier Set Extraction (ROSE), relies on a rough set theoretic representation of the outlier set using the rough set approximations, i.e. lower and upper approximations  ...  Rough Outlier Set Extraction (ROSE) The goal of the proposed approach is to exploit the rough set theory to define the Outlier Set such as a Rough Outlier Set (ROS).  ... 
doi:10.1007/978-3-642-23713-3_9 fatcat:ycvehqpw5ne2xk7a6n46ptbucy

Closeness of Performance Map Information Granules: A Rough Set Approach [chapter]

James J. Alpigini
2002 Lecture Notes in Computer Science  
This article introduces a rough set approach to measuring of information granules derived from performance maps.  ...  The information granules considered in this paper are associated with a feature set in an information system.  ...  Introduction This article introduces an approach to measures of a particular class of information granules based on rough set theory [1], namely, granules derived from performance maps [7]- [9] .  ... 
doi:10.1007/3-540-45813-1_37 fatcat:nnho3a3nwjdtzftzmcpzj3pkzi

Algebraic Approach to Directed Rough Sets [article]

Mani A, Sandor Radeleczki
2020 arXiv   pre-print
In relational approach to general rough sets, ideas of directed relations are supplemented with additional conditions for multiple algebraic approaches in this research paper.  ...  Another distinct algebraic semantics over the set of approximations, and a new knowledge interpretation are also invented in this research by her.  ...  Introduction In relational approach to general rough sets various granular, pointwise or abstract approximations are defined, and rough objects of various kinds are studied [48, 38, 56, 4, 55, 6] .  ... 
arXiv:2004.12171v1 fatcat:y43nj4edc5bidere6c3hzgis7m

Spatial data methods and vague regions: A rough set approach

Theresa Beaubouef, Frederick E. Petry, Roy Ladner
2007 Applied Soft Computing  
Rough sets have been shown to be an effective tool for data mining and uncertainty management in databases.  ...  Rough sets have been shown to be an effective tool for data mining and uncertainty management in databases.  ...  in a rough set.  ... 
doi:10.1016/j.asoc.2004.11.003 fatcat:c4i43g26bfhyres5nj5cwwwz2a

A Novel Neighborhood Rough Set Based Classification Approach for Medical Diagnosis

S. Udhaya kumar, H. Hannah Inbarani
2015 Procedia Computer Science  
In this study, a novel neighborhood rough set classification approach is presented to deal with medical datasets.  ...  such as rough set, nearest neighbor, support vector machine, Back propagation algorithm and multilayer perceptron to conclude that the proposed approach is cheaper way for disease prediction and decision  ...  Udhaya Kumar Email:uk2804@gmail.com From the extensions of classical rough set, neighborhood rough set (NRS) is anintelligent system to observe as a specified implementation of the neighborhood granular  ... 
doi:10.1016/j.procs.2015.03.216 fatcat:ftdaqvpgxjdvxbmwhkdylmtehm
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