International Journal of Fuzzy Logic and Intelligent Systems

  • 제11권4호
  • /
  • Pages.299-304
  • /
  • 2011
  • /
  • 1598-2645(pISSN)
  • /
  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Rough Approximations on Preordered Sets

  • Kim, Yong-Chan (Department of Mathematics, Gangneung-Wonju National University) ;
  • Kim, Young-Sun (Department of Applied Mathematics, Pai Chai University)
  • 투고 : 2011.10.30
  • 심사 : 2011.12.02
  • 발행 : 2011.12.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we investigate the properties of rough approximations defined by preordered sets. We study the relations among the lower and upper rough approximations, closure and interior systems, and closure and interior operators.

키워드

참고문헌

  1. R. Belohlavek, "Lattices of fixed points of Galois connections," Math. Logic Quart., vol.47, pp.111-116, 2001. https://doi.org/10.1002/1521-3870(200101)47:1<111::AID-MALQ111>3.0.CO;2-A
  2. G. Georgescu, A. Popescue, "Non-dual fuzzy connections," Arch. Math. Log., vol. 43, pp.1009-1039, 2004. https://doi.org/10.1007/s00153-004-0240-4
  3. J. Jarvinen, M. Kondo, J. Kortelainen, "Logics from Galois connections," Int. J. Approx. Reasoning, vol.49, pp.595-606, 2008. https://doi.org/10.1016/j.ijar.2008.06.003
  4. Y.C. Kim, Y.S. Kim, "Relations and upper sets on partially ordered sets," Int. Math. Forum, vol. 6, no.19, pp.899-908, 2011.
  5. Y.C. Kim, Y.S. Kim, "Various connections on interior sets," Int. Math. Forum, vol.6, no.19, pp. 909-920, 2011.
  6. Z. Pawlak," Rough sets," Int. J. Comput. Inf. Sci., vol.11, pp.341-356, 1982. https://doi.org/10.1007/BF01001956
  7. G. Qi andW. Liu," Rough operations on Boolean algebras," Information Sciences, vol. 173, pp.49-63, 2005. https://doi.org/10.1016/j.ins.2004.06.006
  8. R. Wille, Restructuring lattice theory; an approach based on hierarchies of concept, in: 1. Rival(Ed.), Ordered Sets, Reidel, Dordrecht, Boston, 1982.