Attributes reduct and decision rules optimization based on maximal tolerance classification in incomplete information systems with fuzzy decisions

作者：Yang, Fang; Guan, Yanyong^*; Li, Shujin; Du, Lei

来源：Journal of Systems Engineering and Electronics, 2010, 21(6): 995-999.

DOI：10.3969/j.issn.1004-4132.2010.06.011

• rough sets
• information systems
• maximal tolerance class
• attribute reduct
• decision rules

A new approach to knowledge acquisition in incomplete information system with fuzzy decisions is proposed. In such incomplete information system, the universe of discourse is classified by the maximal tolerance classes, and fuzzy approximations are defined based on them. Three types of relative reducts of maximal tolerance classes are then proposed, and three types of fuzzy decision rules based on the proposed attribute description are defined. The judgment theorems and approximation discernibility functions with respect to them are presented to compute the relative reduct by using Boolean reasoning techniques, from which we can derive optimal fuzzy decision rules from the systems. At last, three types of relative reducts of the system and their computing methods are given.

• 出版日期2010-12
• 单位齐鲁师范学院; 济南大学