Vol.1 No.1 (August 2011)
Attribute Reductions in Intuitionistic Fuzzy Information Systems Based on Dominance Relations
Many methods based on the rough set theory to deal with information systems have been proposed in recent years. However, intuitionistic fuzzy information systems have not been investigated yet. In this paper, dominance relations are firstly defined in intuitionistic fuzzy information systems and decision tables, and then the concepts of attribute reductions and relative reductions are proposed. Practical approaches to compute all reductions and relative reductions are presented by introducing of discernibility matrix and dis-cernibility function.
杜文胜 , 胡宝清 , 赵彦 (2011) 基于优势关系的直觉模糊信息系统的属性约简。 运筹与模糊学， 1， 1-5. doi: 10.12677/orf.2011.11001
 L. A. Zadeh. Fuzzy sets. Information and Control, 1965, 8(3): 338-353.
 K. T. Atanassov. Intuitionistic fuzzy sets. Fuzzy Sets and Sys-tems, 1986, 20: 87-96.
 徐泽水. 直觉模糊信息集成理论及应用[M]. 北京: 科学出版社, 2008.
 Z. Pawlak. Rough sets. International Journal of Computer and
 Information Sciences, 1982, 11(5): 341-356.
 S. Greco, B. Matarazzo, and R. Slowinski. Rough approximation by dominance relations. International Journal of Intelligence Systems, 2002, 17(2): 153-171.
 J. S. Mi, W. Z. Wu, and W. X. Zhang. Approaches to knowledge reduction based on variable precision rough set model. Informa-tion Sciences, 2004, 159(3-4): 255-272.
 M. W. Shao, W. X. Zhang. Dominance relation and rules in an incomplete ordered information system. International Journal of Intelligent Systems, 2005, 20(1): 13-27.
 W. X. Zhang, J. S. Mi. Incomplete information system and its optimal selections. Computers & Mathematics with Applications, 2004, 48(5-6): 691-698.
 W. X. Zhang, J. S. Mi, and W. Z. Wu. Approaches to knowledge reductions in inconsistent systems. International Journal of Intel-ligent Systems, 2003, 18(9): 989-1000.
 C. Cornelis, G. Deschrijver, and E. Kerre. Implication in in-tuitionistic fuzzy and interval-valued fuzzy set theory: Construc-tion, classification, application. International Journal of Ap-proximation Reasoning, 2004, 35(1): 55-95.
 S. Greco, B. Matarazzo, and R. Slowinski. Rough sets theory for multi-criteria decision analysis. European Journal of Operational Research, 2001, 129(1): 1-47.
 Y. Kusunoki, M. Inuiguchi. V. Torra, Y. Narukawa (Eds.). A comprehensive study on reducts in Dominance-Based Rough Set Approach. Lecture Notes in Computer Science, 2008, 5285: 167-178.