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On Some Issues in the Foundation of Rough Sets : the Problem of Definition

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Konferencja
Rough Set Theory Workshop (RST’2015); (6; 29-06-2015; University of Warsaw )
Języki publikacji
EN
Abstrakty
EN
This paper is concerned with some issues connected with the foundations of rough set theory. Particularly the problem of definition of a rough set is discussed.
Słowa kluczowe
Wydawca
Rocznik
Strony
123--132
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
  • School of Cognitive Science, Jadavpur University, Kolkata, West Bengal, India
Bibliografia
  • [1] Apostoli P, Kanda K. Approximation spaces of type-free sets (preprint). In Lecture Notes in Artificial Intelligence, J. G. Carbonell and J. Siekmann, eds., Springer-Verlag. 2000;2005:98–105. doi: 10.1007/3-540-45554-X_11.
  • [2] Chakraborty MK. Membership function based rough set. International Journal of Approximate Reasoning. 2014;55:402–411. doi: 10.1016/j.ijar.2013.10.009.
  • [3] Chakraborty MK, Banerjee M. Rough sets through algebraic logic. Fundamenta Informaticae. 1997; 32:213–220. Available from: http://dl.acm.org/citation.cfm?id=246662.246665.
  • [4] Chakraborty MK, Banerjee M. Rough dialogue and implication lattices. Fundamenta Informaticae. 2007; 75:123–139. Available from: http://dl.acm.org/citation.cfm?id=2366376.2366382.
  • [5] Chakraborty MK, Banerjee M. Rough sets: some foundational issues. Fundamenta Informaticae. 2013;20: 1–14. doi: 10.3233/FI-2013-892.
  • [6] Ciucci D, Dubois D. Three-valued logics, uncertainty management and rough sets. Transactions on Rough Sets, XVII. 2014;1–32. doi: 10.1007/978-3-642-54756-0_1.
  • [7] Da Costa NCA, Krause D. Logical and philosophical remarks on quasi-set theory. to appear in Logic Journal of IGPL, Oxford Univ. Press. 2007;15(5-6):98-105. doi: 10.1093/jigpal/jzm033.
  • [8] Dubois D, Prade H. Rough fuzzy sets and fuzzy rough sets. International Journal of General Systems. 1990;17:91–209.
  • [9] Evans G. Can there be vague objects?. Analysis. 1978;38(4):208. doi: 10.1093/analys/38.4.208.
  • [10] Tye M. Sorites paradoxes and the semantics of vagueness. Philosophical Perspectives 8, Logic and Language. 1994;189–206. doi: 10.2307/2214170.
  • [11] Marek VW, Truszczynski M. Contributions to the theory of rough sets. Fundamenta Informaticae. 1999;39(4):389–409. Available from: http://dl.acm.org/citation.cfm?id=2378969.2378973.
  • [12] Pawlak Z. Rough sets. Int. J. Inf. Sci. 1982;11:341–356. doi: 10.1007/BF01001956.
  • [13] Pawlak Z. Vagueness and uncertainty: a rough set perspective. Computational Intelligence. 1995;11:227–232. doi: 10.1111/j.1467-8640.1995.tb00029.x.
  • [14] Pawlak Z. Some issues on rough sets. Transactions on Rough Sets, I, LNCS 3100, Springer-Verlag. 2014.
  • [15] Shapiro S. Vagueness in Context. Carendon Press, Oxford. 2006. ISBN- 13:978-0199280391, 10:0199280398 doi:10.1093/ acprof:oso/9780199280391.001.0001.
  • [16] Yao Y. Covering based rough sets approximations. Information Sciences. 2012;200:91–103. doi: 10.1016/j.ins.2012.02.065.
  • [17] Yao Y. A note on definability and approximations. Transactions on Rough Sets, VII. 2007;274–282. Available from: http://dl.acm.org/citation.cfm?id=1772666.1772684,.
  • [18] Yao Y. Probabilistic Rough Set Approximations. International Journal of Approximate Reasoning. 2008; 49(2):255–271. doi: 10.1016/j.ijar.2007.05.019.
  • [19] Yao Y. Constructive and algebraic methods of the theory of rough sets. Information Sciences. 1998;109(1-4):21–47. doi: 10.1016/S0020-0255(98)00012-7.
  • [20] Zadeh LA. Fuzzy Sets. Information and Control. 1965;8(3):338–353. doi: 10.1016/S0019-9958(65)90241-X.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-73ada6cf-107a-4aed-8de9-16619354e5ee
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