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Volumn 31, Issue 1, 2008, Pages 35-45

Some methods for generating topologies by relations

Author keywords

Binary relations; Closure operator; Interior operator; Minimal neighborhood; Rough sets; Subbase; Topological spaces

Indexed keywords


EID: 65349151998     PISSN: 01266705     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (51)

References (16)
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    • Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, D. Slezak, G. Wang, M. Szczuka, I. Dntsch, Y. Yao Eds, Springer-Verlag GmbH, Regina
    • A. A. Allam, M. Y. Bakeir and E. A. Abo-Tabl, New approach for basic rough set concepts. In: Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, Lecture Notes in Artificial Intelligence 3641, D. Slezak, G. Wang, M. Szczuka, I. Dntsch, Y. Yao (Eds.), Springer-Verlag GmbH, Regina, (2005), 64-73.
    • (2005) Lecture Notes in Artificial Intelligence , vol.3641 , pp. 64-73
    • Allam, A.A.1    Bakeir, M.Y.2    Abo-Tabl, E.A.3
  • 4
    • 0043031343 scopus 로고    scopus 로고
    • A generalized topological view of motion in discrete space
    • A. Galton, A generalized topological view of motion in discrete space, Theoretical Computer Sciences 305(1-3), (2003), 111-134.
    • (2003) Theoretical Computer Sciences , vol.305 , Issue.1-3 , pp. 111-134
    • Galton, A.1
  • 5
    • 0004742042 scopus 로고
    • On relationship between modified sets, topological spaces and rough sets
    • J. Kortelainen, On relationship between modified sets, topological spaces and rough sets, Fuzzy Sets and System 61(1994), 91-95.
    • (1994) Fuzzy Sets and System , vol.61 , pp. 91-95
    • Kortelainen, J.1
  • 6
    • 19044370820 scopus 로고    scopus 로고
    • E. F. Lashin, A. M. Kozae, A. A. Abo Khadra and T. Medhat, Rough set theory for topological spaces, International Journal of Approximate Reasoning 40(2005), 35-43.
    • E. F. Lashin, A. M. Kozae, A. A. Abo Khadra and T. Medhat, Rough set theory for topological spaces, International Journal of Approximate Reasoning 40(2005), 35-43.
  • 7
    • 34147219521 scopus 로고
    • Theory and problems of general topology
    • McGraw-Hill Book Company, Singapore
    • S. Lipschutz, Theory and problems of general topology, Schaum's Series, McGraw-Hill Book Company, Singapore, 1965.
    • (1965) Schaum's Series
    • Lipschutz, S.1
  • 10
    • 0041893651 scopus 로고
    • Relations and topologies
    • J. Slapal, Relations and topologies, Czech. Math. J. 43(1993), 141-150.
    • (1993) Czech. Math. J , vol.43 , pp. 141-150
    • Slapal, J.1
  • 11
    • 18944368146 scopus 로고    scopus 로고
    • J. Slapal, A Jordan curve theorem with respect to certain closure operations on the digital plane, Electronic Notes in Theoretical Computer Science 46(2001), 1-20.
    • J. Slapal, A Jordan curve theorem with respect to certain closure operations on the digital plane, Electronic Notes in Theoretical Computer Science 46(2001), 1-20.
  • 12
    • 0041528391 scopus 로고    scopus 로고
    • Closure operation for digital topology
    • J. Slapal, Closure operation for digital topology, Theoretical Computer Science 5(1-3)(2003), 457-471.
    • (2003) Theoretical Computer Science , vol.5 , Issue.1-3 , pp. 457-471
    • Slapal, J.1
  • 13
    • 0036557854 scopus 로고    scopus 로고
    • Generalized topological space in evolutionary theory and combinatorial chemistry
    • B. M. R. Stadler and P. F. Stadler, Generalized topological space in evolutionary theory and combinatorial chemistry, J. Chem. Inf. Comput. Sci. 42(2002), 577-585.
    • (2002) J. Chem. Inf. Comput. Sci , vol.42 , pp. 577-585
    • Stadler, B.M.R.1    Stadler, P.F.2
  • 16
    • 0001375356 scopus 로고    scopus 로고
    • Two views of the theory of rough sets in finite universes
    • Y. Y. Yao, Two views of the theory of rough sets in finite universes, International Journal of Approximation Reasoning 15(1996), 291-317.
    • (1996) International Journal of Approximation Reasoning , vol.15 , pp. 291-317
    • Yao, Y.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.