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Rough Set Models Based on Fuzzy Inclusion and Fuzzy Belief Measures |
ZHANG Jia-Lu1,ZHAO Xiao-Dong2 |
1.Department of Mathematics,Xiangnan University,Chenzhou 423000 2.Department of Mathematics,Sichuan University for Nationalities,Kangding 626000 |
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[1] Pawlak Z. Rough Sets: Theoretical Aspects of Reasoning about Data. Boston, USA: Kluwer Academic Publishers, 1991 [2] Zhang Wenxiu, Wu Weizhi, Liang Jiye, et al. Theory and Methods of Rough Sets. Beijing, China: Science Press, 2001 (in Chinese) (张文修,吴伟志,梁吉业,等.粗糙集理论与方法.北京:科学出版社, 2001) [3] Zhang Wenxiu, Liang Yi, Wu Weizhi. Information Systems and Knowledge Discovery. Beijing, China: Science Press, 2001 (in Chinese) (张文修,梁 怡,吴伟志.信息系统与知识发现.北京:科学出版社, 2001) [4] Dubois D, Prade H. Rough Fuzzy Sets and Fuzzy Rough Sets. International Journal of General Systems, 1990, 17(2/3): 191-209 [5] Rawzikowska A M, Kerre E E. A Comparative Study for Fuzzy Rough Sets. Fuzzy Sets and Systems, 2002, 126(2): 137-155 [6] Wu Weizhi, Leung Y, Mi Jusheng. On Characterizations of (I,T)-Fuzzy Rough Approximation Operators. Fuzzy Sets and Systems, 2005, 154(1): 76-102 [7] Mi Jusheng, Zhang Wenxiu. An Axiomatic Characterization of a Fuzzy Generalization of Rough Sets. Information Sciences, 2004, 160(1/2/3/4): 235-249 [8] Salido J M F, Murakami S. Rough Set Analysis of a General Type of Fuzzy Data Using Transitive Aggregations of Fuzzy Similarity Relations. Fuzzy Sets and Systems, 2003, 139(3): 635-660 [9] Dempster A P. Upper and Lower Probabilities Induced by a Multivalued Mapping. Annals of Mathematical Statistics, 1967, 38(2): 325-339 [10] Shafer G. A Mathematical Theory of Evidence. Princeton, USA: Princeton University Press, 1976 [11] Wu Weizhi, Leung Y, Zhang Wenxiu. Connections between Rough Set Theory and Dempster-Shafer Theory of Evidence. International Journal of General Systems, 2002, 31(4): 405-430 [12] Wu Weizhi, Leung Y, Mi Jusheng. On Generalized Fuzzy Belief Functions in Infinite Spaces. IEEE Trans on Fuzzy Systems, 2009, 17(2): 385-397 [13] Bandler W, Kohout L. Fuzzy Power and Fuzzy Implication Operators. Fuzzy Sets and Systems, 1980, 4: 183-190 [14] Sinha D, Dougherty E R. Fuzzification of Set Inclusion Theory and Application. Fuzzy Sets and Systems, 1993, 55(1): 15-42 [15] Young V R. Fuzzy Subsethood. Fuzzy Sets and Systems, 1996, 77(3): 371-384 [16] Biacino L. Fuzzy Subsethood and Belief Functions of Fuzzy Events. Fuzzy Sets and Systems, 2007, 158(1): 38-49 [17] Kuncheva L I, Fuzzy Rough Sets: Application to Feature Extraction. Fuzzy Sets and Systems, 1992, 51(2): 147-153 [18] Zhang Wenxiu, Xu Zongben, Leung Y, et al. Inclusion Theory. Fuzzy Systems and Mathematics, 1996, 10(4): 1-9 (in Chinese) (张文修,徐宗本,梁 怡,等.包含度理论.模糊系统与数学, 1996, 10(4): 1-9) [19] Liang Guangxi, Zhang Wenxiu. Inclusion and Its Application to Expert Systems. Chinese Journal of Engineering Mathematics, 1994, 11(4): 13-24 (in Chinese) (梁广锡, 张文修. 包含度及其在专家系统中的应用. 工程数学学报, 1994, 11(4): 13-24) [20] Zhang Jialu. Knowledge Reduction in Random Fuzzy Information Systems. Chinese Journal of Engineering Mathematics, 2006, 23(3): 450-454 (in Chinese) (张家录.随机模糊信息系统的知识约简.工程数学学报, 2006, 23(3): 450-454) |
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