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Join-meet approximation operators induced by Alexandrov fuzzy topologies

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In this paper, we investigate the properties of Alexandrov fuzzy topologies and join-meet approximation operators. We study fuzzy preorder, Alexandrov topologies join-meet approximation operators induced by Alexandrov fuzzy topologies. We give their examples.

Abstract

In this paper, we investigate the properties of Alexandrov fuzzy topologies and join-meet approximation operators. We study fuzzy preorder, Alexandrov topologies join-meet approximation operators induced by Alexandrov fuzzy topologies. We give their examples.

참고문헌 (12)

  1. R. Belohlavek, "Fuzzy Relational Systems" (2002), Kluwer Academic Publishers
  2. P. Hajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers
  3. U. Hohle, "Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory", Kluwer Academic Publishers
  4. Fang Jinming, "I-fuzzy Alexandrov topologies and specialization orders", Fuzzy Sets and Systems, 158, pp.2359~2374 (2007)
  5. Y.C. Kim, "Alexandrov L-topologies and L-join meet approximation operators", International Journal of Pure and Applied Mathematics, 91(1), pp.113~129 (2014)
  6. H. Lai, "Fuzzy preorder and fuzzy topology", Fuzzy Sets and Systems, 157, pp.1865~1885 (2006)
  7. H. Lai, "Concept lattices of fuzzy contexts: Formal concept analysis vs. rough set theory", Int. J. Approx. Reasoning, 50, pp.695~707 (2009)
  8. Z. Pawlak, "Rough sets", Int. J. Comput. Inf. Sci, 11, pp.341~356 (1982)
  9. Z. Pawlak, "Rough probability", Bull. Pol. Acad. Sci. Math, 32, pp.607~615 (1984)
  10. A. M. Radzikowska, "A comparative study of fuzy rough sets", Fuzzy Sets and Systems, 126, pp.137~155 (2002)
  11. Y.H. She, "An axiomatic approach of fuzzy rough sets based on residuated lattices", Computers and Mathematics with Applications, 58, pp.189~201 (2009)
  12. Zhen Ming Ma, "Topological and lattice structures of L-fuzzy rough set determined by lower and upper sets", Information Sciences, 218, pp.194~204 (2013)

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