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Volumn 37, Issue 3, 2008, Pages 373-386

Rough approximations in a general approximation space and their fundamental properties

Author keywords

General approximation space; Lower approximation; Rough set; Upper approximation

Indexed keywords

COMPUTATIONAL GEOMETRY; ERROR ANALYSIS; FUZZY SETS; POLYNOMIAL APPROXIMATION; SET THEORY; STANDARDS;

EID: 46249102188     PISSN: 03081079     EISSN: 15635104     Source Type: Journal    
DOI: 10.1080/03081070701250994     Document Type: Article
Times cited : (37)

References (45)
  • 4
    • 0040634308 scopus 로고
    • On connections between information systems, rough sets and algebraic logic
    • Warsaw: Banach Center Publications
    • COMER, S.D., 1993. On connections between information systems, rough sets and algebraic logic. Algebraic Methods in Logic and Computer Science (Warsaw: Banach Center Publications) 28, pp. 117-124.
    • (1993) Algebraic Methods in Logic and Computer Science , vol.28 , pp. 117-124
    • COMER, S.D.1
  • 10
    • 3042813950 scopus 로고    scopus 로고
    • Roughness in rings
    • DAVVAZ, B., 2004, Roughness in rings. Information Sciences, 164, pp. 147-163.
    • (2004) Information Sciences , vol.164 , pp. 147-163
    • DAVVAZ, B.1
  • 11
    • 33646912283 scopus 로고    scopus 로고
    • Roughness based on fuzzy ideals
    • DAVVAZ, B., 2006a, Roughness based on fuzzy ideals. Information Sciences, 176, pp. 2417-2437.
    • (2006) Information Sciences , vol.176 , pp. 2417-2437
    • DAVVAZ, B.1
  • 12
    • 33845725646 scopus 로고    scopus 로고
    • Rough subpolygroups in a factor polygroup
    • DAVVAZ, B., 2006b, Rough subpolygroups in a factor polygroup. Journal of Intelligent and Fuzzy Systems, 17(6), pp. 613-621.
    • (2006) Journal of Intelligent and Fuzzy Systems , vol.17 , Issue.6 , pp. 613-621
    • DAVVAZ, B.1
  • 16
    • 0036874722 scopus 로고    scopus 로고
    • On the structure of rough approximations
    • JARVINEN, J., 2002, On the structure of rough approximations. Fundamental Informatica, 53, pp. 135-153.
    • (2002) Fundamental Informatica , vol.53 , pp. 135-153
    • JARVINEN, J.1
  • 17
    • 1342328031 scopus 로고    scopus 로고
    • An axiomatic characterization of a fuzzy generalization of rough sets
    • MI, J.-S. and ZHANG, W.-X., 2004, An axiomatic characterization of a fuzzy generalization of rough sets. Information Sciences, 160, pp. 235-249.
    • (2004) Information Sciences , vol.160 , pp. 235-249
    • MI, J.-S.1    ZHANG, W.-X.2
  • 18
    • 3042820099 scopus 로고    scopus 로고
    • Roughness of ideals in BCK-algebras
    • JUN, Y.B., 2003a, Roughness of ideals in BCK-algebras. Scientiae Mathematicae Japonica, 57(1), pp. 165-169.
    • (2003) Scientiae Mathematicae Japonica , vol.57 , Issue.1 , pp. 165-169
    • JUN, Y.B.1
  • 19
    • 33646936273 scopus 로고    scopus 로고
    • Roughness of gamma-subsemigroups/ideals in gamma-semigroups
    • JUN, Y.B., 2003b, Roughness of gamma-subsemigroups/ideals in gamma-semigroups. Bulletin of the Korean Mathematical Society, 40(3), pp. 531-536.
    • (2003) Bulletin of the Korean Mathematical Society , vol.40 , Issue.3 , pp. 531-536
    • JUN, Y.B.1
  • 20
    • 0031206635 scopus 로고    scopus 로고
    • Rough ideals in semigroups
    • KUROKI, N., 1997, Rough ideals in semigroups. Information Sciences, 100, pp. 139-163.
    • (1997) Information Sciences , vol.100 , pp. 139-163
    • KUROKI, N.1
  • 21
    • 0030127824 scopus 로고    scopus 로고
    • The lower and upper approximations in a fuzzy group
    • KUROKI, N. and WANG, P.P., 1996, The lower and upper approximations in a fuzzy group. Information Sciences, 90, pp. 203-220.
    • (1996) Information Sciences , vol.90 , pp. 203-220
    • KUROKI, N.1    WANG, P.P.2
  • 22
    • 0001225112 scopus 로고    scopus 로고
    • Neighborhood systems-application to qualitative fuzzy and rough sets
    • P.P.WANG, Ed, Durham: Department of Electrical Engineering, Duke University, pp
    • LIN, T.Y., 1997. Neighborhood systems-application to qualitative fuzzy and rough sets. in Advances in Machine Intelligence and Soft-Computing P.P.WANG, Ed., (Durham: Department of Electrical Engineering, Duke University), pp. 132-155.
    • (1997) Advances in Machine Intelligence and Soft-Computing , pp. 132-155
    • LIN, T.Y.1
  • 24
    • 0002701470 scopus 로고
    • Rough sets, neighborhood systems and approximation
    • Z.W.RAS, M.L.ZEMANKOVA and M.L.EMRICHM, Eds, pp, Tennessee
    • LIN, T.Y., LIU, Q., HUANG, K.J. and CHEN, W., 1990. Rough sets, neighborhood systems and approximation. in Methodologies for Intelligent Systems Z.W.RAS, M.L.ZEMANKOVA and M.L.EMRICHM, Eds., , pp. 130-141, (Tennessee, 1990).
    • (1990) Methodologies for Intelligent Systems , pp. 130-141
    • LIN, T.Y.1    LIU, Q.2    HUANG, K.J.3    CHEN, W.4
  • 25
    • 0030283822 scopus 로고    scopus 로고
    • A rough logic based on incomplete information and its application
    • NAKAMURA, A., 1996, A rough logic based on incomplete information and its application. International Journal of Approximate Reasoning, 15, pp. 367-378.
    • (1996) International Journal of Approximate Reasoning , vol.15 , pp. 367-378
    • NAKAMURA, A.1
  • 28
    • 46249107258 scopus 로고    scopus 로고
    • 1998a, in Rough Sets in Knowledge Discovery 1. Methodology and Applications. Studies in Fuzziness and Soft Computing L.POLKOWSKI and A.SKOWRON, Eds., (Heidelberg: Physical-Verlag, 18).
    • 1998a, in Rough Sets in Knowledge Discovery 1. Methodology and Applications. Studies in Fuzziness and Soft Computing L.POLKOWSKI and A.SKOWRON, Eds., (Heidelberg: Physical-Verlag, 18).
  • 29
    • 46249098113 scopus 로고    scopus 로고
    • 1998b, in Rough Sets in Knowledge Discovery 2. Applications. Studies in Fuzziness and Soft Computing L.POLKOWSKI and A.SKOWRON, Eds., (Heidelberg: Physical-Verlag, 19).
    • 1998b, in Rough Sets in Knowledge Discovery 2. Applications. Studies in Fuzziness and Soft Computing L.POLKOWSKI and A.SKOWRON, Eds., (Heidelberg: Physical-Verlag, 19).
  • 31
    • 46249084279 scopus 로고
    • Some remarks of approximation
    • POMYKALA, J., 1991b, Some remarks of approximation. Demonstratio Mathematica, 24, pp. 663-671.
    • (1991) Demonstratio Mathematica , vol.24 , pp. 663-671
    • POMYKALA, J.1
  • 33
    • 0033889022 scopus 로고    scopus 로고
    • α-RST: A generalization of rough set theory
    • QUAFAFOU, M., 2000, α-RST: a generalization of rough set theory. Information Sciences, 124, pp. 301-316.
    • (2000) Information Sciences , vol.124 , pp. 301-316
    • QUAFAFOU, M.1
  • 35
    • 0036498107 scopus 로고    scopus 로고
    • A comprative study of fuzzy rough sets
    • RADZIKOWSKA, A.M. and KERRE, E.E., 2002, A comprative study of fuzzy rough sets. Fuzzy Sets and Systems, 126, pp. 137-155.
    • (2002) Fuzzy Sets and Systems , vol.126 , pp. 137-155
    • RADZIKOWSKA, A.M.1    KERRE, E.E.2
  • 38
    • 0000398336 scopus 로고
    • Restructuring lattice theory
    • Dordrecht: Reidel, pp
    • WILLE, R., 1982. Restructuring lattice theory. in Ordered Sets RIVAL, Ed., (Dordrecht: Reidel), pp. 445-470.
    • (1982) Ordered Sets RIVAL, Ed , pp. 445-470
    • WILLE, R.1
  • 39
    • 0036646071 scopus 로고    scopus 로고
    • Neighborhood operator systems and approximations
    • WU, W.-Z. and ZHANG, W.-X., 2002, Neighborhood operator systems and approximations. Information Sciences, 144, pp. 201-217.
    • (2002) Information Sciences , vol.144 , pp. 201-217
    • WU, W.-Z.1    ZHANG, W.-X.2
  • 40
    • 0032204205 scopus 로고    scopus 로고
    • Relational interpretation of neighborhood operators and rough set approximation operator
    • YAO, Y.Y., 1998, Relational interpretation of neighborhood operators and rough set approximation operator. Information Sciences, 111, pp. 239-259.
    • (1998) Information Sciences , vol.111 , pp. 239-259
    • YAO, Y.Y.1
  • 41
    • 0031632311 scopus 로고    scopus 로고
    • Interpretations of belief functions in the theory of rough sets
    • YAO, Y.Y. and LINGRAS, P.J., 1998, Interpretations of belief functions in the theory of rough sets. Information Sciences, 104, pp. 81-106.
    • (1998) Information Sciences , vol.104 , pp. 81-106
    • YAO, Y.Y.1    LINGRAS, P.J.2
  • 42
    • 0005755397 scopus 로고
    • Approximations in space (U, II)
    • ZAKOWSKI, W., 1983, Approximations in space (U, II). Demonstratio Mathematica, 16, pp. 761-769.
    • (1983) Demonstratio Mathematica , vol.16 , pp. 761-769
    • ZAKOWSKI, W.1
  • 43
    • 4944236899 scopus 로고    scopus 로고
    • Two new operators in rough set theory with applications to fuzzy sets
    • ZHANG, H., LIANG, H. and LIU, D., 2004, Two new operators in rough set theory with applications to fuzzy sets. Information Sciences, 166, pp. 147-165.
    • (2004) Information Sciences , vol.166 , pp. 147-165
    • ZHANG, H.1    LIANG, H.2    LIU, D.3
  • 44
    • 0037621960 scopus 로고    scopus 로고
    • Reduction and axiomization of covering generalized rough sets
    • ZHU, W. and WANG, F.-Y., 2003, Reduction and axiomization of covering generalized rough sets. Information Sciences, 152, pp. 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.