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Volumn 177, Issue 11, 2007, Pages 2308-2326

A novel approach to fuzzy rough sets based on a fuzzy covering

Author keywords

Adjunction; Complete lattice; Conjunction; Fuzzy covering; Fuzzy logic; Fuzzy rough approximations; Implication; Morphological operators; Rough sets

Indexed keywords

APPROXIMATION THEORY; FUZZY LOGIC; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; ROUGH SET THEORY;

EID: 33947261538     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2006.11.013     Document Type: Article
Times cited : (201)

References (46)
  • 3
    • 0033715360 scopus 로고    scopus 로고
    • On links between mathematical morphology and rough sets
    • Bloch I. On links between mathematical morphology and rough sets. Pattern Recognition 33 (2000) 1487-1496
    • (2000) Pattern Recognition , vol.33 , pp. 1487-1496
    • Bloch, I.1
  • 4
    • 0030734056 scopus 로고    scopus 로고
    • Approximation of fuzzy concepts in decision making
    • Bodjanova S. Approximation of fuzzy concepts in decision making. Fuzzy Sets and Systems 85 (1997) 23-29
    • (1997) Fuzzy Sets and Systems , vol.85 , pp. 23-29
    • Bodjanova, S.1
  • 6
    • 0000055572 scopus 로고    scopus 로고
    • Inclusion grade and fuzzy implication operators
    • Burillo P., Frago N., and Fuentes R. Inclusion grade and fuzzy implication operators. Fuzzy Sets and Systems 114 (2000) 417-429
    • (2000) Fuzzy Sets and Systems , vol.114 , pp. 417-429
    • Burillo, P.1    Frago, N.2    Fuentes, R.3
  • 7
    • 33646026682 scopus 로고    scopus 로고
    • Rough approximations on a complete completely distributive lattice with applications to generalized rough sets
    • Chen D.-G., Zhang W.-X., Yeung D., and Tsang E.C.C. Rough approximations on a complete completely distributive lattice with applications to generalized rough sets. Information Sciences 176 (2006) 1829-1848
    • (2006) Information Sciences , vol.176 , pp. 1829-1848
    • Chen, D.-G.1    Zhang, W.-X.2    Yeung, D.3    Tsang, E.C.C.4
  • 8
    • 33947233734 scopus 로고    scopus 로고
    • The close-degree of fuzzy rough sets and rough fuzzy sets and the application
    • Chen Y., and Mo Z.-W. The close-degree of fuzzy rough sets and rough fuzzy sets and the application. Chinese Quarterly Journal of Mathematics 17 (2002) 70-77
    • (2002) Chinese Quarterly Journal of Mathematics , vol.17 , pp. 70-77
    • Chen, Y.1    Mo, Z.-W.2
  • 9
    • 10044292983 scopus 로고    scopus 로고
    • A new approach to mining fuzzy databases using nearest neighbor classification by exploiting attribute hierarchies
    • De S.K., and Krishna P.R. A new approach to mining fuzzy databases using nearest neighbor classification by exploiting attribute hierarchies. International Journal of Intelligent Systems 19 (2004) 1277-1290
    • (2004) International Journal of Intelligent Systems , vol.19 , pp. 1277-1290
    • De, S.K.1    Krishna, P.R.2
  • 14
    • 0002089070 scopus 로고
    • Gradual rules and the approximation of control laws
    • Nguyen H.T., Sugeno M., Tong R., and Yager R.R. (Eds), Wiley, New York
    • Dubois D., Grabisch M., and Prade H. Gradual rules and the approximation of control laws. In: Nguyen H.T., Sugeno M., Tong R., and Yager R.R. (Eds). Theoretical Aspects of Fuzzy Control (1995), Wiley, New York 147-181
    • (1995) Theoretical Aspects of Fuzzy Control , pp. 147-181
    • Dubois, D.1    Grabisch, M.2    Prade, H.3
  • 15
    • 0023380153 scopus 로고
    • Twofold fuzzy sets and rough sets-some issues in knowledge representation
    • Dubois D., and Prade H. Twofold fuzzy sets and rough sets-some issues in knowledge representation. Fuzzy Sets and Systems 23 (1987) 3-18
    • (1987) Fuzzy Sets and Systems , vol.23 , pp. 3-18
    • Dubois, D.1    Prade, H.2
  • 18
    • 17644430909 scopus 로고    scopus 로고
    • Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relation
    • Fernández Salido J.M., and Murakami S. Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relation. Fuzzy Sets and Systems 139 (2003) 635-660
    • (2003) Fuzzy Sets and Systems , vol.139 , pp. 635-660
    • Fernández Salido, J.M.1    Murakami, S.2
  • 20
    • 0000482672 scopus 로고    scopus 로고
    • New family of triangular norms via contrapositive symmetrization of residuated implications
    • Jenei S. New family of triangular norms via contrapositive symmetrization of residuated implications. Fuzzy Sets and Systems 110 (2000) 157-174
    • (2000) Fuzzy Sets and Systems , vol.110 , pp. 157-174
    • Jenei, S.1
  • 21
    • 22144446410 scopus 로고    scopus 로고
    • The product structure of fuzzy rough sets on a group and the rough T-fuzzy group
    • Jiang J.-S., Wu C.-X., and Chen D.-G. The product structure of fuzzy rough sets on a group and the rough T-fuzzy group. Information Sciences 175 (2004) 97-107
    • (2004) Information Sciences , vol.175 , pp. 97-107
    • Jiang, J.-S.1    Wu, C.-X.2    Chen, D.-G.3
  • 22
    • 0001379522 scopus 로고    scopus 로고
    • Similarity preserving t-norm-based additions of fuzzy numbers
    • Kolesárová A. Similarity preserving t-norm-based additions of fuzzy numbers. Fuzzy Sets and Systems 91 (1997) 215-229
    • (1997) Fuzzy Sets and Systems , vol.91 , pp. 215-229
    • Kolesárová, A.1
  • 23
    • 38249009996 scopus 로고
    • Fuzzy rough sets: application to feature selection
    • Kuncheva L.I. Fuzzy rough sets: application to feature selection. Fuzzy Sets and Systems 51 (1992) 147-153
    • (1992) Fuzzy Sets and Systems , vol.51 , pp. 147-153
    • Kuncheva, L.I.1
  • 24
    • 1342328031 scopus 로고    scopus 로고
    • An axiomatic characterization of a fuzzy generalization of rough sets
    • Mi J.-S., and Zhang W.-X. An axiomatic characterization of a fuzzy generalization of rough sets. Information Sciences 160 (2004) 235-249
    • (2004) Information Sciences , vol.160 , pp. 235-249
    • Mi, J.-S.1    Zhang, W.-X.2
  • 27
    • 2442713045 scopus 로고    scopus 로고
    • Soft data mining, computational theory of perceptions, and rough-fuzzy approach
    • Pal S.K. Soft data mining, computational theory of perceptions, and rough-fuzzy approach. Information Sciences 163 (2004) 5-12
    • (2004) Information Sciences , vol.163 , pp. 5-12
    • Pal, S.K.1
  • 29
    • 85015196509 scopus 로고
    • Rough sets and fuzzy sets
    • Pawlak Z. Rough sets and fuzzy sets. Fuzzy Sets and Systems 17 (1985) 99-102
    • (1985) Fuzzy Sets and Systems , vol.17 , pp. 99-102
    • Pawlak, Z.1
  • 32
    • 0001827541 scopus 로고
    • Fuzzification of set inclusion: theory and applications
    • Sinha D., and Dougherty E.R. Fuzzification of set inclusion: theory and applications. Fuzzy Sets and Systems 55 (1993) 15-42
    • (1993) Fuzzy Sets and Systems , vol.55 , pp. 15-42
    • Sinha, D.1    Dougherty, E.R.2
  • 33
    • 0003563964 scopus 로고    scopus 로고
    • Skowron A., and Polkowski L. (Eds), Springer-Verlag, Berlin, Germany
    • In: Skowron A., and Polkowski L. (Eds). Rough Sets in Knowledge Discovery (1998), Springer-Verlag, Berlin, Germany
    • (1998) Rough Sets in Knowledge Discovery
  • 35
    • 0030731802 scopus 로고    scopus 로고
    • A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings
    • Tsiporkova-Hristoskova E., De Baets B., and Kerre E.E. A fuzzy inclusion based approach to upper inverse images under fuzzy multivalued mappings. Fuzzy Sets and Systems 85 (1997) 93-108
    • (1997) Fuzzy Sets and Systems , vol.85 , pp. 93-108
    • Tsiporkova-Hristoskova, E.1    De Baets, B.2    Kerre, E.E.3
  • 37
    • 1642525198 scopus 로고    scopus 로고
    • Constructive and axiomatic approaches of fuzzy approximation operators
    • Wu W.-Z., and Zhang W.-X. Constructive and axiomatic approaches of fuzzy approximation operators. Information Sciences 159 (2004) 233-254
    • (2004) Information Sciences , vol.159 , pp. 233-254
    • Wu, W.-Z.1    Zhang, W.-X.2
  • 38
    • 0032147655 scopus 로고    scopus 로고
    • A comparative study of fuzzy sets and rough sets
    • Yao Y.Y. A comparative study of fuzzy sets and rough sets. Information Sciences 109 (1998) 227-242
    • (1998) Information Sciences , vol.109 , pp. 227-242
    • Yao, Y.Y.1
  • 39
    • 0032204205 scopus 로고    scopus 로고
    • Relational interpretations of neighborhood operators and rough set approximation operators
    • Yao Y.Y. Relational interpretations of neighborhood operators and rough set approximation operators. Information Sciences 111 (1998) 239-259
    • (1998) Information Sciences , vol.111 , pp. 239-259
    • Yao, Y.Y.1
  • 40
    • 8344253612 scopus 로고    scopus 로고
    • Y.Y. Yao, On generalizing rough set theory, in: Proc. of the 9th Int. Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, Chongqing, (2003) pp. 44-51.
  • 43
    • 18144388681 scopus 로고    scopus 로고
    • Towards a generalized theory of uncertainty (GTU)-an outline
    • Zadeh L.A. Towards a generalized theory of uncertainty (GTU)-an outline. Information Sciences 172 (2005) 1-40
    • (2005) Information Sciences , vol.172 , pp. 1-40
    • Zadeh, L.A.1
  • 44
    • 4944236899 scopus 로고    scopus 로고
    • Two new operators in rough set theory with applications to fuzzy sets
    • Zhang H.-G., Liang H.-L., and Liu D.-R. Two new operators in rough set theory with applications to fuzzy sets. Information Sciences 166 (2004) 147-165
    • (2004) Information Sciences , vol.166 , pp. 147-165
    • Zhang, H.-G.1    Liang, H.-L.2    Liu, D.-R.3
  • 45
    • 33845963394 scopus 로고    scopus 로고
    • W. Zhu, Topological approaches to covering rough sets, Information Sciences (2006) doi:10.1016/j.ins.2006.06.009.
  • 46
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generalized rough sets
    • Zhu W., and Wang F.-Y. Reduction and axiomization of covering generalized rough sets. Information Sciences 152 (2003) 217-230
    • (2003) Information Sciences , vol.152 , pp. 217-230
    • Zhu, W.1    Wang, F.-Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.