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Tytuł artykułu

Weak Dependencies in Approximation Spaces

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Wybrane pełne teksty z tego czasopisma
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Języki publikacji
EN
Abstrakty
EN
The article reviews the basics of the variable precision rough set and the Bayesian approaches to data dependencies detection and analysis. The variable precision rough set and the Bayesian rough set theories are extensions of the rough set theory. They are focused on the recognition and modelling of set overlap-based, also referred to as probabilistic, relationships between sets. The set-overlap relationships are used to construct approximations of undefinable sets. The primary application of the approach is to analysis of weak data co-occurrence-based dependencies in probabilistic decision tables learned from data. The probabilistic decision tables are derived from data to represent the inter-data item connections, typically for the purposes of their analysis or data value prediction. The theory is illustrated with a comprehensive application example illustrating utilization of probabilistic decision tables to face image classification.
Wydawca
Rocznik
Strony
193--207
Opis fizyczny
Bibliogr. 35 poz., tab.
Twórcy
autor
  • Department of Computer Science, University of Regina, Regina, Canada
autor
  • Department of Computer Science, University of Regina, Regina, Canada
Bibliografia
  • [1] Chen, X., Ziarko, W., Experiments with Rough Set Approach to Face Recognition, The Sixth International Conference on Rough Sets and Current Trends in Computing, 2008.
  • [2] Chen, X., Ziarko, W., Experiments with Rough Set Approach to Face Recognition (extended version), the special issue of the International Journal of Intelligent Systems entitled ”Rough Sets Theory and Applications”, 2010.
  • [3] Chen, X., Ziarko, W., Rough Set-Based Incremental Learning Approach for Face Recognition, The Seventh International Conference on Rough Sets and Current Trends in Computing (RSCTC 2010), pp. 356-365, 2010.
  • [4] Greco, S., Matarazzo, B., Slowinski, R. Rough membership and bayesian confirmation measures for parameterized rough sets, LNAI 3641, pp. 314-324, 2005.
  • [5] Greco, S., Matarazzo, B.,Slowinski, R., Parameterized Rough Set Model Using Rough Membership and Bayesian Confirmation Measures, International Journal of Approximate Reasoning, Volume 49, pp. 285-300, 2008.
  • [6] Greco, S., Slowinski, R., Szczech, I. Properties of Rule Interestingness Measures and Alternative Approaches to Normalization of Measures, Information Sciences, Volume 216, pp. 1-16, 2012.
  • [7] Katzberg, J.D., Ziarko, W. Variable precision rough sets with asymmetric bounds, in: Rough Sets, Fuzzy Sets and Knowledge Discovery, Ziarko, W. (Ed), Springer, London, pp. 167-177, 1994.
  • [8] Pawlak, Z., Skowron, A. Rudiments of rough sets, Information Sciences, 177, pp. 3-27, 2007.
  • [9] Pawlak, Z., Some Issues on Rough Sets, T. Rough Sets: pp.1-58, 2004.
  • [10] Pawlak, Z., Flow Graphs and Data Mining, T. Rough Sets: pp.1-36, 2005.
  • [11] Pawlak, Z., Rough Sets and Flow Graphs, RSFDGrC (1) pp.1-11, 2005.
  • [12] Pawlak, Z., Flow Graphs and Intelligent Data Analysis, Fundam. Inform. 64(1-4): pp.369-377, 2005.
  • [13] Pawlak, Z., Decision Trees and Flow Graphs, RSCTC 2006, pp.1-11, 2006
  • [14] Pawlak, Z., Rough sets, International Journal of Computer and Information Science, 11, pp. 341-356, 1982.
  • [15] Pawlak, Z., Rough Sets: Theoretical Aspects of Reasoning about Data, Kluwer, 1991.
  • [16] Pawlak, Z., Wong, S.K.M., Ziarko, W., Rough sets: probabilistic versus deterministic approach, International Journal of Man-CMachine Studies 29, pp. 81-95, 1988.
  • [17] Slezak, D., Rough Sets and Bayes Factor, LNAI 3400, pp. 202-229, 2005.
  • [18] Slezak, D., Ziarko, W. Attribute reduction in the Bayesian version of variable precision rough set model, Electronic Notes in Theoretical Computer Science, 82, pp. 263-273, 2003.
  • [19] Slezak, D., Ziarko, W., The Investigation of the Bayesian Rough Set Model, International Journal of Approximate Reasoning, Vol 40, Issues 1-2, pp. 81-91, July 2005.
  • [20] Swiniarski, R., Rough Sets Methods in Feature Reduction and Classification, Intl. Journal of Applied Mathematics and Computing, Volume 11, Issue 3, pp. 565-582, 2001.
  • [21] Turk, M., Pentland, A., Eigenfaces for Recognition, Journal of Cognitive Neuroscience Vol. 3, No 1, pp. 71-86, 1991.
  • [22] Wong, S.K.M., Ziarko, W.,A Probabilistic Model of Approximate Classification and Decision Rules with Uncertainty in Inductive Learning, Technical Report CS-85-23, Department of Computer Science, University of Regina, 1985.
  • [23] Wong, S.K.M., Ziarko, W., Comparison of the Probabilistic Approximate Classification and the Fuzzy Set Model, Fuzzy Sets Syst. 21, pp. 357-362, 1987.
  • [24] Yao, Y.Y., Lin, T.Y., Generalization of rough sets using modal logic, Intelligent Automation and Soft Computing, An International Journal, Vol. 2, No. 2, pp. 103-120, 1996.
  • [25] Yao, Y.Y., Decision Theoretic Rough Set Models, Rough Sets and Knowledge, Second International Conference, RSKT 2007, Proceedings, LNAI 4481, pp. 1-12, 2007.
  • [26] Yao, Y.Y., Probabilistic rough set approximations, International Journal of Approximation Reasoning, Vol. 49, No. 2, pp. 255-271, 2008.
  • [27] Yao, Y.Y., Wong, S.K.M., Lingras, P., A decision-theoretic rough set model, Methodologies for Intelligent Systems, 5 - Proceedings of the 5th International Symposium on Methodologies for Intelligent Systems, Knoxville, Tennessee, USA, Ras, Z.W., Zemankova., M., and Emrichm M.L. (Eds.), New York: North- Holland, pp. 17-25, October 25-27, 1990.
  • [28] Yao, Y.Y., Wong, S.K.M., A Decision Theoretic Framework for Approximating Concepts, International Journal of Man-machine Studies, Vol. 37, No. 6, pp. 793-809, 1992.
  • [29] Ziarko, W., Set approximation quality measures in the variable precision rough set model. Soft Computing Systems, Management and Applications, IOS Press, pp. 442-452, 2001.
  • [30] Ziarko, W., Acquisition of Hierarchy-Structured Probabilistic Decision Tables and Rules from Data, Expert Systems, Vol. 20, No. 5, pp. 305-310, Nov. 2003.
  • [31] Ziarko, W., Probabilistic Rough Sets, Lecture Notes in Computer Science, Volume 3641, pp. 283-293, 2005.
  • [32] Ziarko, W., Partition Dependencies in Hierarchies of Probabilistic Decision Tables, RSKT 2006, LNAI 4062, pp.42-49, 2006.
  • [33] Ziarko, W., Probabilistic Approach to Rough Sets, International Journal of Approximate Reasoning, Volume 49, Issue 2, pp. 272-284, October 2008.
  • [34] Ziarko, W., Variable Precision Rough Sets Model, Journal of Computer and System Sciences, Vol. 46, No 1, pp. 39-59, 1993.
  • [35] Ziarko, W., Approximation Region-Based Decision Tables, RSCTC 98, LNAI 1424, pp. 178-185, 1998.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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