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Volumn 76, Issue 1-2, 2007, Pages 129-145

Modal-like operators in Boolean lattices, Galois connections and fixed points

Author keywords

Boolean lattices with additional operators; Closure operators; Fixed points; Galois connections

Indexed keywords

APPROXIMATION ALGORITHMS; BOOLEAN ALGEBRA; FORMAL LOGIC; TOPOLOGY;

EID: 33847699243     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (19)

References (25)
  • 1
    • 33847738215 scopus 로고    scopus 로고
    • P. Alexandroff, Diskrete Räume, Matematičeskij Sbornik N. S. 2 (1937) 501-518. In German.
    • P. Alexandroff, Diskrete Räume, Matematičeskij Sbornik N. S. 2 (1937) 501-518. In German.
  • 4
    • 33847720761 scopus 로고
    • Colloquium Publications, American Mathematical Society, Providence, Rhode Island, 3rd edition
    • G. Birkhoff, Lattice Theory, Colloquium Publications XXV, American Mathematical Society, Providence, Rhode Island, 3rd edition, 1995.
    • (1995) Lattice Theory , vol.25
    • Birkhoff, G.1
  • 6
    • 0027892934 scopus 로고    scopus 로고
    • M. Erné, J. Koslowski, A. Melton, G.E. Strecker, A primer on Galois connections, in: Proceedings of the 1991 Summer Conference on General Topology and Applications in Honor of Mary Ellen Rudin and Her Work, 704 of Annals of the New York Academy of Sciences (1993) 103-125.
    • M. Erné, J. Koslowski, A. Melton, G.E. Strecker, A primer on Galois connections, in: Proceedings of the 1991 Summer Conference on General Topology and Applications in Honor of Mary Ellen Rudin and Her Work, volume 704 of Annals of the New York Academy of Sciences (1993) 103-125.
  • 9
    • 0001600434 scopus 로고    scopus 로고
    • Substructural logics on display
    • R. Gore, Substructural logics on display, Logic Journal of the IGPL 6 (1998) 451-504.
    • (1998) Logic Journal of the IGPL , vol.6 , pp. 451-504
    • Gore, R.1
  • 10
    • 0036874722 scopus 로고    scopus 로고
    • On the structure of rough approximations
    • J. Järvinen, On the structure of rough approximations, Fundamenta Informaticae 53 (2002) 135-153.
    • (2002) Fundamenta Informaticae , vol.53 , pp. 135-153
    • Järvinen, J.1
  • 13
    • 0040738036 scopus 로고
    • General Topology
    • Springer-Verlag, Reprint of the 1955 edition published by Van Nostrand
    • J.L. Kelley, General Topology, Graduate Texts in Mathematics 27, Springer-Verlag 1975, Reprint of the 1955 edition published by Van Nostrand.
    • (1975) Graduate Texts in Mathematics , vol.27
    • Kelley, J.L.1
  • 14
    • 27944498703 scopus 로고    scopus 로고
    • On the structure of generalized rough sets
    • M. Kondo, On the structure of generalized rough sets, Information Sciences 176 (2006) 589-600.
    • (2006) Information Sciences , vol.176 , pp. 589-600
    • Kondo, M.1
  • 15
    • 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 Systems 61 (1994) 91-95.
    • (1994) Fuzzy Sets and Systems , vol.61 , pp. 91-95
    • Kortelainen, J.1
  • 16
    • 33847746331 scopus 로고    scopus 로고
    • J. Kortelainen, A Topological Approach to Fuzzy Sets, Lappeenranta University of Technology, Ph.D. dissertation, Lappeenranta, Finland, Acta Universitatis Lappeenrantaensis 90, 1999.
    • J. Kortelainen, A Topological Approach to Fuzzy Sets, Lappeenranta University of Technology, Ph.D. dissertation, Lappeenranta, Finland, Acta Universitatis Lappeenrantaensis 90, 1999.
  • 17
    • 0035332762 scopus 로고    scopus 로고
    • Applying modifiers to knowledge acquisition
    • J. Kortelainen, Applying modifiers to knowledge acquisition, Information Sciences 134 (2001) 39-51.
    • (2001) Information Sciences , vol.134 , pp. 39-51
    • Kortelainen, J.1
  • 18
    • 0001972488 scopus 로고
    • Semantical considerations on modal logic
    • S.A. Kripke, Semantical considerations on modal logic, Acta Philosophica Fennica XVI (1963) 83-94.
    • (1963) Acta Philosophica Fennica , vol.16 , pp. 83-94
    • Kripke, S.A.1
  • 19
    • 0000493356 scopus 로고
    • Hedges: A study in meaning criteria and the logic of fuzzy concepts
    • G. Lakoff, Hedges: A study in meaning criteria and the logic of fuzzy concepts, Journal of Philosophical Logic 2 (1973) 458-508.
    • (1973) Journal of Philosophical Logic , vol.2 , pp. 458-508
    • Lakoff, G.1
  • 23
    • 84972514612 scopus 로고
    • Self-conjugate functions on Boolean algebras
    • TA. Sudkamp, Self-conjugate functions on Boolean algebras, Notre Dame Journal of Formal Logic 19 (1978) 504-512.
    • (1978) Notre Dame Journal of Formal Logic , vol.19 , pp. 504-512
    • Sudkamp, T.A.1
  • 24
    • 84972541021 scopus 로고
    • A lattice-theoretical fixpoint theorem and its applications
    • A. Tarski, A lattice-theoretical fixpoint theorem and its applications, Pacific Journal of Mathematics 5 (1955) 285-309.
    • (1955) Pacific Journal of Mathematics , vol.5 , pp. 285-309
    • Tarski, A.1
  • 25
    • 34250406938 scopus 로고
    • Fuzzy logic and approximate reasoning
    • L.A. Zadeh, Fuzzy logic and approximate reasoning, Synthese 30 (1975) 407-428.
    • (1975) Synthese , vol.30 , pp. 407-428
    • Zadeh, L.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.