메뉴 건너뛰기




Volumn 21, Issue 3, 2009, Pages 443-462

The development of fuzzy rough sets with the use of structures and algebras of axiomatic fuzzy sets

Author keywords

AFS algebras; AFS structures; Fuzzy rough sets; Rough sets

Indexed keywords

AFS ALGEBRAS; AFS STRUCTURES; AXIOMATIC FUZZY SETS; DATA ANALYSIS; FUZZY CONCEPT; FUZZY ROUGH SETS; IMPLICATION OPERATORS; IMPLICATOR; ROUGH APPROXIMATIONS; ROUGH SET; ROUGH SETS; SIMILARITY RELATIONS; T - NORM; UNIFIED FRAMEWORK;

EID: 64249098723     PISSN: 10414347     EISSN: None     Source Type: Journal    
DOI: 10.1109/TKDE.2008.147     Document Type: Article
Times cited : (62)

References (43)
  • 4
    • 84963133436 scopus 로고
    • Rough fuzzy sets and fuzzy rough sets
    • D. Dubois and H. Prade, "Rough Fuzzy Sets and Fuzzy Rough Sets, " Int'l J. General Systems, vol. 17, nos. 2/3, pp. 191-209, 1990.
    • (1990) Int'l J. General Systems , vol.17 , Issue.2-3 , pp. 191-209
    • Dubois, D.1    Prade, H.2
  • 5
    • 0036498107 scopus 로고    scopus 로고
    • A comparative study of fuzzy rough sets
    • A.M. Radzikowska and E.E. Kerre, "A Comparative Study of Fuzzy Rough Sets, " Fuzzy Sets and Systems, vol. 126, pp. 137-155, 2002.
    • (2002) Fuzzy Sets and Systems , vol.126 , pp. 137-155
    • Radzikowska, A.M.1    Kerre, E.E.2
  • 6
    • 17644430909 scopus 로고    scopus 로고
    • Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations
    • J.M. Fernandez Salido and S. Murakami, "Rough Set Analysis of a General Type of Fuzzy Data Using Transitive Aggregations of Fuzzy Similarity Relations, " Fuzzy Sets and Systems, vol. 139, pp. 635-660, 2003.
    • (2003) Fuzzy Sets and Systems , vol.139 , pp. 635-660
    • Salido, J.M.F.1    Murakami, S.2
  • 7
    • 0000610078 scopus 로고    scopus 로고
    • The fuzzy theory based on afs algebras and AFS structure
    • X.D. Liu, "The Fuzzy Theory Based on AFS Algebras and AFS Structure, " J. Math. Analysis and Applications, vol. 217, pp. 459-478, 1998.
    • (1998) J. Math. Analysis and Applications , vol.217 , pp. 459-478
    • Liu, X.D.1
  • 8
    • 0040683722 scopus 로고    scopus 로고
    • The topology on AFS algebra and AFS structure
    • X.D. Liu, "The Topology on AFS Algebra and AFS Structure, " J. Math. Analysis and Applications, vol. 217, pp. 479-489, 1998.
    • (1998) J. Math. Analysis and Applications , vol.217 , pp. 479-489
    • Liu, X.D.1
  • 9
    • 0001030726 scopus 로고    scopus 로고
    • The fuzzy sets and systems based on AFS structure, EI algebra and EII algebra
    • X.D. Liu, "The Fuzzy Sets and Systems Based on AFS Structure, EI Algebra and EII Algebra, " Fuzzy Sets and Systems, vol. 95, pp. 179-188, 1998.
    • (1998) Fuzzy Sets and Systems , vol.95 , pp. 179-188
    • Liu, X.D.1
  • 11
    • 33751247346 scopus 로고    scopus 로고
    • Approaches to the representations and logic operations of fuzzy concepts in the framework of axiomatic fuzzy set theory I
    • DOI 10.1016/j.ins.2006.07.011, PII S0020025506001927
    • X.D. Liu, T.Y. Chai, and W. Wang, "Approaches to the Representations and Logic Operations for Fuzzy Concepts in the Framework of Axiomatic Fuzzy Set Theory I, II, " Information Sciences, vol. 177, pp. 1007-1026, pp. 1027-1045, 2007. (Pubitemid 44791319)
    • (2007) Information Sciences , vol.177 , Issue.4 , pp. 1007-1026
    • Liu, X.1    Chai, T.2    Wang, W.3    Liu, W.4
  • 13
    • 33750960658 scopus 로고    scopus 로고
    • The development of fuzzy decision trees in the framework of axiomatic fuzzy set logic
    • X.D. Liu and W. Pedrycz, "The Development of Fuzzy Decision Trees in the Framework of Axiomatic Fuzzy Set Logic, " Applied Soft Computing, vol. 7, pp. 325-342, 2007.
    • (2007) Applied Soft Computing , vol.7 , pp. 325-342
    • Liu, X.D.1    Pedrycz, W.2
  • 15
    • 0001438150 scopus 로고
    • Theory of topological molecular lattices
    • G.J. Wang, "Theory of Topological Molecular Lattices, " Fuzzy Sets and Systems, vol. 47, pp. 351-376, 1992.
    • (1992) Fuzzy Sets and Systems , vol.47 , pp. 351-376
    • Wang, G.J.1
  • 16
    • 0030142764 scopus 로고    scopus 로고
    • Fuzzy logic=computing with words
    • L.A. Zadeh, "Fuzzy Logic=Computing with Words, " IEEE Trans. Fuzzy Systems, vol. 4, no. 2, pp. 103-111, 1996.
    • (1996) IEEE Trans. Fuzzy Systems , vol.4 , Issue.2 , pp. 103-111
    • Zadeh, L.A.1
  • 18
    • 0002395767 scopus 로고
    • The discernibility matrices and functions in information systems, intelligent decision support
    • R. Slowinski, ed., Kluwer Academic Publishers
    • A. Skowron and C. Rauszer, "The Discernibility Matrices and Functions in Information Systems, Intelligent Decision Support, " Handbook of Applications and Advances of the Rough Sets Theory, R. Slowinski, ed., pp. 331-362, Kluwer Academic Publishers, 1992.
    • (1992) Handbook of Applications and Advances of the Rough Sets Theory , pp. 331-362
    • Skowron, A.1    Rauszer, C.2
  • 19
    • 1842583457 scopus 로고    scopus 로고
    • Case generation using rough sets with fuzzy representation
    • Mar.
    • S.K. Pal and P. Mitra, "Case Generation Using Rough Sets with Fuzzy Representation, " IEEE Trans. Knowledge and Data Eng., vol. 16, no. 3, pp. 292-300, Mar. 2004.
    • (2004) IEEE Trans. Knowledge and Data Eng. , vol.16 , Issue.3 , pp. 292-300
    • Pal, S.K.1    Mitra, P.2
  • 20
    • 18944379956 scopus 로고    scopus 로고
    • Algebraic structures of rough sets in representative approximation spaces
    • Mar.
    • Z. Bonikowski, "Algebraic Structures of Rough Sets in Representative Approximation Spaces, " Electronic Notes in Theoretical Computer Science, vol. 82, no. 4, pp. 1-12, http://www.elsevier.nl/locate/entcs/volume82.html, Mar. 2003.
    • (2003) Electronic Notes in Theoretical Computer Science , vol.82 , Issue.4 , pp. 1-12
    • Bonikowski, Z.1
  • 21
    • 11844286661 scopus 로고    scopus 로고
    • Generation of exhaustive set of rules within dominance-based rough set approach
    • Mar.
    • K. Dembczynski, R. Pindur, and R. Susmag, "Generation of Exhaustive Set of Rules within Dominance-Based Rough Set Approach, " Electronic Notes in Theoretical Computer Science, vol. 82, no. 4, pp. 1-12, http://www.elsevier. nl/locate/entcs/volume82.html, Mar. 2003.
    • (2003) Electronic Notes in Theoretical Computer Science , vol.82 , Issue.4 , pp. 1-12
    • Dembczynski, K.1    Pindur, R.2    Susmag, R.3
  • 22
    • 0037332847 scopus 로고    scopus 로고
    • Meningitis data mining by cooperatively using GDT-RS and rsbr
    • N. Zhong, J.Z. Dong, and S. Ohsuga, "Meningitis Data Mining by Cooperatively Using GDT-RS and RSBR, " Pattern Recognition Letters, vol. 24, pp. 887-894, 2003.
    • (2003) Pattern Recognition Letters , vol.24 , pp. 887-894
    • Zhong, N.1    Dong, J.Z.2    Ohsuga, S.3
  • 23
    • 18944370381 scopus 로고    scopus 로고
    • On the decision table with maximal number of reducts
    • Mar.
    • H.S. Nguyen, "On the Decision Table with Maximal Number of Reducts, " Electronic Notes in Theoretical Computer Science, vol. 82, no. 4, pp. 1-8, http://www.elsevier.nl/locate/entcs/volume82.html, Mar. 2003.
    • (2003) Electronic Notes in Theoretical Computer Science , vol.82 , Issue.4 , pp. 1-8
    • Nguyen, H.S.1
  • 24
    • 9944238762 scopus 로고    scopus 로고
    • A rough set-based fault ranking prototype system for fault diagnosis
    • Q.H. Wang and J.R. Li, "A Rough Set-Based Fault Ranking Prototype System for Fault Diagnosis, " Eng. Applications of Artificial Intelligence, vol. 17, pp. 909-917, 2004.
    • (2004) Eng. Applications of Artificial Intelligence , vol.17 , pp. 909-917
    • Wang, Q.H.1    Li, J.R.2
  • 25
    • 2642582420 scopus 로고    scopus 로고
    • Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules
    • S. Greco, B. Matarazzo, and R. Slowinski, "Axiomatic Characterization of a General Utility Function and Its Particular Cases in Terms of Conjoint Measurement and Rough-Set Decision Rules, " European J. Operational Research, vol. 158, pp. 271-292, 2004.
    • (2004) European J. Operational Research , vol.158 , pp. 271-292
    • Greco, S.1    Matarazzo, B.2    Slowinski, R.3
  • 27
    • 0344339135 scopus 로고    scopus 로고
    • Rough approximation of a preference relation by dominance relations
    • S. Greco, B. Matarazzo, and R. Slowinski, "Rough Approximation of a Preference Relation by Dominance Relations, " European J. Operational Research, vol. 117, pp. 63-83, 1999.
    • (1999) European J. Operational Research , vol.117 , pp. 63-83
    • Greco, S.1    Matarazzo, B.2    Slowinski, R.3
  • 28
    • 0037117684 scopus 로고    scopus 로고
    • Rough sets methodology for sorting problems in presence of multiple attributes and criteria
    • S. Greco, B. Matarazzo, and R. Slowinski, "Rough Sets Methodology for Sorting Problems in Presence of Multiple Attributes and Criteria, " European J. Operational Research, vol. 138, pp. 247-259, 2002.
    • (2002) European J. Operational Research , vol.138 , pp. 247-259
    • Greco, S.1    Matarazzo, B.2    Slowinski, R.3
  • 29
    • 0035314028 scopus 로고    scopus 로고
    • Rough approximation of a preference relation by a multi-attribute stochastic dominance for determinist and stochastic evaluation problems
    • K. Zaras, "Rough Approximation of a Preference Relation by a Multi-Attribute Stochastic Dominance for Determinist and Stochastic Evaluation Problems, " European J. Operational Research, vol. 130, pp. 305-314, 2001.
    • (2001) European J. Operational Research , vol.130 , pp. 305-314
    • Zaras, K.1
  • 30
    • 0033719032 scopus 로고    scopus 로고
    • A generalized definition of rough approximations based on similarity
    • Mar./Apr.
    • R. Slowinski and D. Van der pooten, "A Generalized Definition of Rough Approximations Based on Similarity, " IEEE Trans. Knowledge and Data Eng., vol. 12, no. 2, pp. 331-336, Mar./Apr. 2000.
    • (2000) IEEE Trans. Knowledge and Data Eng. , vol.12 , Issue.2 , pp. 331-336
    • Slowinski, R.1    Van Der Pooten, D.2
  • 31
    • 0034268753 scopus 로고    scopus 로고
    • A handwritten numeral character classification using tolerant rough set
    • Sept.
    • D. Kim and S.Y. Bang, "A Handwritten Numeral Character Classification Using Tolerant Rough Set, " IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 22, no. 9, pp. 923-937, Sept. 2000.
    • (2000) IEEE Trans. Pattern Analysis and Machine Intelligence , vol.22 , Issue.9 , pp. 923-937
    • Kim, D.1    Bang, S.Y.2
  • 32
    • 1642351871 scopus 로고    scopus 로고
    • An algorithm for case generation from a database
    • L. Geng and C.W. Chan, "An Algorithm for Case Generation from a Database, " Applied Math. Letters, vol. 17, pp. 269-274, 2004.
    • (2004) Applied Math. Letters , vol.17 , pp. 269-274
    • Geng, L.1    Chan, C.W.2
  • 33
    • 0035427240 scopus 로고    scopus 로고
    • Data classification based on tolerant rough set
    • D. Kim, "Data Classification Based on Tolerant Rough Set, " Pattern Recognition, vol. 34, pp. 1613-1624, 2001.
    • (2001) Pattern Recognition , vol.34 , pp. 1613-1624
    • Kim, D.1
  • 35
  • 37
    • 0345528227 scopus 로고    scopus 로고
    • The representations of fuzzy concepts based on the fuzzy matrix theory and the afs theory
    • Oct.
    • X.D. Liu, K.J. Zhu, and H.Z. Huang, "The Representations of Fuzzy Concepts Based on the Fuzzy Matrix Theory and the AFS Theory, " Proc. IEEE Int'l Symp. Intelligent Control (ISIC '03), pp. 1006-1011, Oct. 2003.
    • (2003) Proc. IEEE Int'l Symp. Intelligent Control (ISIC '03) , pp. 1006-1011
    • Liu, X.D.1    Zhu, K.J.2    Huang, H.Z.3
  • 38
    • 0002564422 scopus 로고
    • The structure of fuzzy matrices
    • X.D. Liu, "The Structure of Fuzzy Matrices, " J. Fuzzy Math., vol. 2, pp. 311-325, 1994.
    • (1994) J. Fuzzy Math. , vol.2 , pp. 311-325
    • Liu, X.D.1
  • 39
    • 33749667344 scopus 로고    scopus 로고
    • Rough sets: Some extensions
    • Z. Pawlak and A. Skowron, "Rough Sets: Some Extensions, " Information Sciences, vol. 177, pp. 28-40, 2007.
    • (2007) Information Sciences , vol.177 , pp. 28-40
    • Pawlak, Z.1    Skowron, A.2
  • 40
    • 33749668975 scopus 로고    scopus 로고
    • Rough sets and boolean reasoning
    • Z. Pawlak and A. Skowron, "Rough Sets and Boolean Reasoning, " Information Sciences, vol. 177, pp. 41-70, 2007.
    • (2007) Information Sciences , vol.177 , pp. 41-70
    • Pawlak, Z.1    Skowron, A.2
  • 41
    • 0000494080 scopus 로고    scopus 로고
    • Rough mereology: A new paradigm for approximate reasoning
    • L. Polkowski and A. Skowron, "Rough Mereology: A New Paradigm for Approximate Reasoning, " Int'l J. Approximate Reasoning, vol. 15, pp. 333-365, 1996.
    • (1996) Int'l J. Approximate Reasoning , vol.15 , pp. 333-365
    • Polkowski, L.1    Skowron, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.