Limited dominance-based rough fuzzy set and knowledge reductions

被引:0
作者
Luo G.-Z. [1 ]
Yang X.-B. [2 ]
Yang X.-J. [1 ]
机构
[1] Coll. of Economics and Management, Nanjing Univ. of Aeronautics and Astronautics
[2] School of Computer Science and Technology, Nanjing Univ. of Science and Technology
来源
Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics | 2010年 / 32卷 / 08期
关键词
Incomplete fuzzy objective information system; Limited dominance relation; Relative reduction; Rough fuzzy set;
D O I
10.3969/j.issn.1001-506X.2010.08.22
中图分类号
学科分类号
摘要
The concept of limited dominance relation is proposed in the incomplete fuzzy objective information system. By comparing with the traditional dominance relation in such information system, one can obtain higher approximate accuracy and approximate quality of fuzzy objects by using the limited dominance-based rough fuzzy set approach. Moreover, based on the limited dominance-based rough fuzzy set model, two types of knowledge reductions, the relative lower and upper approximate reductions are proposed. Finally, the practical approaches to compute the relative lower and upper approximate reductions are presented and then an illustrative example is employed to show the validity of such approaches.
引用
收藏
页码:1657 / 1661
页数:4
相关论文
共 15 条
  • [1] Pawlak Z., Rough Sets-Theoretical Aspects of Reasoning about Data, (1991)
  • [2] Blaszczynski J., Greco S., Slowinski R., Multi-criteria classification: A new scheme for application of dominance-based decision rules, European Journal of Operational Research, 181, 3, pp. 1030-1044, (2007)
  • [3] Fan T., Liu D., Tzeng G., Rough set-based logics for multicriteria decision analysis, European Journal of Operational Research, 182, 1, pp. 340-355, (2007)
  • [4] Greco S., Matarazzo B., Slowinski R., Rough sets theory for multicriteria decision analysis, European Journal of Operational Research, 129, 1, pp. 1-47, (2002)
  • [5] Greco S., Matarazzo B., Slowinski R., Rough approximation by dominance relations, International Journal of Intelligent Systems, 17, 2, pp. 153-171, (2002)
  • [6] Greco S., Inuiguchi M., Slowinski R., Fuzzy rough sets and multiple-premise gradual decision rules, International Journal of Approximate Reasoning, 41, 2, pp. 179-211, (2006)
  • [7] Grzymala-Busse J.W., Data with missing attribute values: Generalization of indiscernibility relation and rule induction, Trans. on Rough Sets I, 3100, 1, pp. 78-95, (2004)
  • [8] Yang X., Yang J., Wu C., Et al., Dominance-based rough set approach and knowledge reductions in incomplete ordered information system, Information Sciences, 178, 4, pp. 1219-1234, (2008)
  • [9] 19, 2, pp. 117-120, (2004)
  • [10] Shao M., Zhang W., Dominance relation and rules in an incomplete ordered information system, International Journal of Intelligent Systems, 20, 1, pp. 13-27, (2005)