{"title":"Remarks on Some Properties of Decision Rules","authors":"Songlin Yang, Ying Ge","volume":37,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":178,"pagesEnd":182,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10029","abstract":"This paper shows that some properties of the decision\r\nrules in the literature do not hold by presenting a counterexample. We\r\ngive sufficient and necessary conditions under which these properties\r\nare valid. These results will be helpful when one tries to choose the\r\nright decision rules in the research of rough set theory.","references":"[1] Greco, S., Matarazzo, B. and Slowinski, R., Rough sets methodology for\r\nsorting problems in presence of multiple attributes and criteria. European\r\nJournal of Operational Research, 2002, 138 (2), 247-259.\r\n[2] Li, J.J., The covering upper approximation sets and the relative closures,\r\nPattern Recognition and Artificial Intelligence 18, 2002, 675-678.\r\n[3] Pawlak, Z., Rough sets, International Journal of Computer and Information\r\nSciences 11, 1982, 341-356.\r\n[4] Pawlak, Z., Theorize with Data using Rough Sets, Proceedings of the\r\n26th Annual International Computer Software and Applications Conference,\r\n2002.\r\n[5] Pawlak, Z., Rough sets, decision algorithms and Bayes- theorem, European\r\nJournal of Operational Research, 2002, 136, 181-189.\r\n[6] Pawlak, Z., In Pursuit of Patterns in Data Reasoning from Data-The\r\nRough Set Way, Third Int-l Conf. Rough Sets and Current Trends in\r\nComputing, 2002, 1-9.\r\n[7] Pawlak, Z., Rough Sets, Bayes- Theorem and Flow Graphs, Intelligent\r\nSystems for Information Processing: From Representation to Applications,\r\nB. Bouchon-Meunier, L. Foulloy and R.R. Yager (Editors), 2003,\r\n243-252.\r\n[8] Pawlak, Z., Decision rules and flow networks, European Journal of\r\nOperational Research 154, 2004, 184-190.\r\n[9] Pawlak, Z., Wong, S.K.M. and Ziarko, W., Rough sets: probabilistic\r\nversus deterministic approach, International Journal of Man-Machine\r\nStudies 29, 1988, 81-95.\r\n[10] Yao, Y.Y., Decision-theoretic rough set models, RSKT 2007, LNCS\r\n(LNAI) 4481, eds. J.T. Yao et al., Heidelbergpp: Springer, 1-12.\r\n[11] Yao, Y.Y., Three-way decision: an tnterpretation of rules in rough set\r\ntheory, In: RSKT 2009, LNCS 5589, eds. P. Wen et al., Heidelbergpp:\r\nSpringer, 642-649.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 37, 2010"}