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The properties of rough approximations

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We investigated the properties of rough approximations induced by two families of preordered sets and closure systems. We study the relations among the lower and upper rough approximations,closure and interior systems, preordered sets.

Abstract

We investigated the properties of rough approximations induced by two families of preordered sets and closure systems. We study the relations among the lower and upper rough approximations,closure and interior systems, preordered sets.

참고문헌 (8)

  1. R. Belohlavek, "Lattices of xed points of Galois connections", Math. Logic Quart, 47, pp.111~116 (2001)
  2. G. Georgescu, "Non-dual fuzzy connections", Arch. Math. Logic, 43, pp.1009~1039 (2004)
  3. J. Jarvinen, "Logics from Galois connections", Internat. J. Approx. Reason, 49, pp.595~606 (2008)
  4. Y.C. Kim, "Relations and upper sets on partially ordered sets", Int. Math. Forum, 6(19), pp.899~908 (2011)
  5. Y.C. Kim, "Various connections on interior sets", Int. Math. Forum, 6(19), pp.909~920 (2011)
  6. Y.C. Kim, "Rough approximations on preordered sets, accepted to", Int. J. Fuzzy. Int. Sys
  7. Z. Pawlak, "Rough sets", Int. J. Comput. Inf. Sci, 11, pp.341~356 (1982)
  8. G. Qi, "Rough operations on Boolean algebras", Information Sciences, 173, pp.49~63 (2005)

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