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Fuzzy extensions of the dominance-based rough set approach

Marko Palangetić, Chris Cornelis, Salvatore Greco, Roman Słowiński
2020 International Journal of Approximate Reasoning  
In this paper, we first review existing fuzzy extensions of the dominance-based rough set approach (DRSA), and advance the theory considering additional properties.  ...  OWA operators have shown a lot of potential in handling outliers and noisy data in decision tables, when they are combined with the indiscernibility-based rough set approach (IRSA).  ...  Acknowledgement The first two authors would like to thank Odysseus project from Flanders Research Foundation (FWO) for funding their research.  ... 
doi:10.1016/j.ijar.2020.10.004 fatcat:64iq22pzefbijmb3ctb2hudvlm

Extension of the Fuzzy Dominance-Based Rough Set Approach Using Ordered Weighted Average Operators

Marko Palangetić, Chris Cornelis, Salvatore Greco, Roman Słowiński
2019 Proceedings of the 2019 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)  
F-Transform Based on B-Splines Martins Kokainis and Svetlana Asmuss 11:20 -11:40 Relational Variants of Categories of Fuzzy Sets Defined by Monads Jiří Močkoř 11:40 -12:00 Dimensionality Reduction and  ...  Valášek 12:20 -12:40 Integral Transformations for Lattice-Valued Functions Michal Holčapek and Viec Bui 12:40 -13:00 On Lᴹ -Valued F-Transforms and Lᴹ -Valued Fuzzy Rough Sets Abha Tripathi, S.  ... 
doi:10.2991/eusflat-19.2019.73 dblp:conf/eusflat/PalangeticCGS19 fatcat:273aued35vdujde4qrwpin3ryy

Fuzzy Set Extensions of the Dominance-Based Rough Set Approach [chapter]

Salvatore Greco, Benedetto Matarazzo, Roman Słowiński
Fuzzy Sets and Their Extensions: Representation, Aggregation and Models  
In this chapter, after recalling the classical rough set approach and DRSA, we review their fuzzy set extensions.  ...  Moreover, we characterize the dominance-based rough approximation of a fuzzy set, and we show that the classical rough approximation of a crisp set is its particular case.  ...  Acknowledgment The research of the first two authors has been supported by the Italian Ministry of Education, University and Scientific Research (MIUR).  ... 
doi:10.1007/978-3-540-73723-0_13 dblp:series/sfsc/GrecoMS08 fatcat:4icx7gs6szcsfbrgslshjg44jy

Intuitionistic Fuzzy Dominance–based Rough Set Approach: Model and Attribute Reductions

Yanqin Zhang, Xibei Yang
2012 Journal of Software  
The dominance-based rough set approach plays an important role in the development of the rough set theory.  ...  The purpose of this paper is to further generalize the dominance-based rough set model to fuzzy environment.  ...  To solve this problem, Greco et al. have proposed an extension of Pawlak's rough set approach, which is called the Dominance-based Rough Set Approach (DRSA) [5] - [8] , [13] - [15] , [18] - [26]  ... 
doi:10.4304/jsw.7.3.551-563 fatcat:7epf32ey7na2llgifmuovqj2uy

Comparative Overview of Rough Set Toolkit Systems for Data Analysis

Piotr Pięta, Tomasz Szmuc, Krzysztof Kluza, M. Kulisz, M. Szala, M. Badurowicz, W. Cel, M. Chmielewska, Z. Czyż, K. Falkowicz, J. Kujawska, T. Tulwin
2019 MATEC Web of Conferences  
The theory of rough sets aims to overcome problems that are caused by uncertainty and lack of precision within the gathered data sets.  ...  and Rough Set Toolkit for Analysis of Data.  ...  The tool supports the methods that are the extensions of the classical rough sets theory, such as the methods based on DRSA (Dominance-based Rough Set Approach) and VC-DRSA (Variable Consistency-based  ... 
doi:10.1051/matecconf/201925203019 fatcat:x4qnthjoljdmrm7lpntmdfoajm

Knowledge reduction of dominance-based fuzzy rough set in fuzzy decision system

Jun Xie, Yu-Qing Song, Xi-Bei Yang, Huai-Jiang Sun, Jing-Yu Yang
2008 2008 IEEE Conference on Cybernetics and Intelligent Systems  
Dominance-based rough set approach is an useful extension of the classical rough set approach and it has been successfully applied into multi-criteria decision analysis problems.  ...  The investigated fuzzy rough set model is different from the classical fuzzy rough set model because it is based on the dominance principle of memberships of objects on the attributes.  ...  This fuzzy rough approach is different from most known fuzzy set extensions of rough set theory, does not use any fuzzy logical connectives (t-norm, t-conorm, fuzzy implication) because it is based on  ... 
doi:10.1109/iccis.2008.4670780 fatcat:h2u35zjn4naq3iox6b4so2h2y4

On rough sets, their recent extensions and applications

N. Mac Parthaláin, Q. Shen
2010 Knowledge engineering review (Print)  
of the respective underlying approaches.  ...  Rough set theory (RST) has enjoyed an enormous amount of attention in recent years and has been applied to many real-world problems including data mining, pattern recognition, and intelligent control.  ...  Acknowledgements The authors wish to thank the referees for their invaluable advice in revising this paper.  ... 
doi:10.1017/s0269888910000263 fatcat:ta7bxxa34jc5pmsdxwx4nudnwa

Recent Fuzzy Generalisations of Rough Sets Theory: A Systematic Review and Methodological Critique of the Literature

Abbas Mardani, Mehrbakhsh Nilashi, Jurgita Antucheviciene, Madjid Tavana, Romualdas Bausys, Othman Ibrahim
2017 Complexity  
Based on the results of this review, we found that there are many challenging issues related to the different application area of fuzzy-rough set theory which can motivate future research studies.  ...  Therefore, in this review study, the attempt is made to provide a comprehensive systematic review of methodologies and applications of recent generalisations discussed in the area of fuzzy-rough set theory  ...  Conflicts of Interest The authors declare no conflicts of interest regarding the publication of the paper.  ... 
doi:10.1155/2017/1608147 fatcat:o6khgyofg5g55hwgdj2y6angii

A dominance intuitionistic fuzzy-rough set approach and its applications

Bing Huang, Yu-liang Zhuang, Hua-xiong Li, Da-kuan Wei
2013 Applied Mathematical Modelling  
Although the rough set and intuitionistic fuzzy set both capture the same notion, imprecision, studies on the combination of these two theories are rare.  ...  First, a ranking method is introduced to construct the neighborhood of every object that is determined by intuitionistic fuzzy values of condition attributes.  ...  This paper was supported by the Natural Science Foundation of China (Grant Nos. 61170105 and 71201076), Qing Lan Project of Jiangsu Province, and the Priority Academic Program Development of Jiangsu Higher  ... 
doi:10.1016/j.apm.2012.12.009 fatcat:w25fsigfeje4tcv54jk5j2lgcq

Dominance-based Rough Set Analysis for Uncertain Data Tables

Tuan-Fang Fan, Churn-Jung Liau, Duen-Ren Liu
2009 European Society for Fuzzy Logic and Technology  
The lower and upper approximations of the decision classes based on the fuzzy dominance relation are thus fuzzy rough sets.  ...  In this paper, we propose a dominance-based rough set approach for the decision analysis of a preference-ordered uncertain data table, which is comprised of a finite set of objects described by a finite  ...  Acknowledgment This work was partially supported by the National Science Council of Taiwan under grant 95-2221-E-001-029-MY3.  ... 
dblp:conf/eusflat/FanLL09 fatcat:r2fpahfbzvbi5anaovvvt6shf4

Rough Set Approach to Approximation Reduction in Ordered Decision Table with Fuzzy Decision

Xiaoyan Zhang, Shihu Liu, Weihua Xu
2011 Mathematical Problems in Engineering  
In practice, some of information systems are based on dominance relations, and values of decision attribute are fuzzy.  ...  Moreover, rough set approach to upper and lower approximation reductions is presented in ordered decision tables with fuzzy decision as well.  ...  For this reason, proposed an extension rough set theory, called the dominance-based rough set approach DRSA , to take into account the ordering properties of criteria.  ... 
doi:10.1155/2011/268929 fatcat:7cbl4u4zdbet5oemml2w5xdyva

Dominance-based fuzzy rough set analysis of uncertain and possibilistic data tables

Tuan-Fang Fan, Churn-Jung Liau, Duen-Ren Liu
2011 International Journal of Approximate Reasoning  
In this paper, we propose a dominance-based fuzzy rough set approach for the decision analysis of a preference-ordered uncertain or possibilistic data table, which is comprised of a finite set of objects  ...  Thus, the lower and upper approximations of the decision classes based on the valued dominance relation are fuzzy rough sets.  ...  Acknowledgments This work was partially supported by the National Science Council of Taiwan under Grants NSC 98-2221-E-001-013-MY3 and NSC 99-2410-H-346-001.  ... 
doi:10.1016/j.ijar.2011.01.009 fatcat:inn5igeqvreuhfovoocdej3j7e

Dominance-based Rough Interval-valued Fuzzy Set in Incomplete Fuzzy Information System

Minlun Yan
2012 Journal of Software  
The fuzzy rough set is a fuzzy generalization of the classical rough set. In the traditional fuzzy rough model, the set to be approximated is a fuzzy set.  ...  on the basis of a dominance relation.  ...  quality, market share, and debt ratio, Greco et al. have proposed an extension of the Classic Rough Sets Approach, which is called the Dominance-based Rough Sets Approach (DRSA) [1] - [3] , [7] ,  ... 
doi:10.4304/jsw.7.6.1375-1384 fatcat:leavxe3bcbflpbbl3wz2fcw4dq

Ranking for Objects and Attribute Reductions in Intuitionistic Fuzzy Ordered Information Systems

Xiaoyan Zhang, Weihua Xu
2012 Mathematical Problems in Engineering  
Theories of rough set are investigated in intuitionistic fuzzy ordered information systems by defining two approximation operators.  ...  The concept of intuitionistic fuzzy ordered information systems is proposed firstly by introducing an intuitionistic fuzzy relation to ordered information systems.  ...  Foundation Project of CQ CSTC no. cstc2011jjA40037 .  ... 
doi:10.1155/2012/426901 fatcat:mscdnqpl7jexpoevdat47l3o4y

Soft Computing in decision modeling

Vicenç Torra, Yasuo Narukawa
2009 Soft Computing - A Fusion of Foundations, Methodologies and Applications  
Acknowledgments Partial support by the Generalitat de Catalunya (AGAUR, 2005-SGR-00093) and by the Spanish MEC (projects ARES-CONSOLIDER INGENIO 2010 CSD2007-00004-and eAEGIS-TSI2007-65406-C03-02) is acknowledged  ...  That is, the dominance-based rough set approach (Greco et al. 2001 ). In the next section, we describe in more detail the structure of the issue introducing the papers.  ...  Kusunoki and Inuiguchi discuss a few kinds of reducts proposed in the dominance-based rough set approach (DRSA) (Greco et al. 2001) , and clarify the relationships between the ones they propose in the  ... 
doi:10.1007/s00500-009-0456-7 fatcat:texusw4nxneinf7usk52kxutsq
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