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基于可辨识矩阵的模糊目标系统决策约简算法

A Decision Reduction Algorithm Based on the Discernibility Matrix in the Fuzzy Object System

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【作者】 杨成福舒兰

【Author】 YANG Cheng-fu1,2,SHU Lan1(1.Co11ege of Applied Mathematics,University of Electronic Science and Technoogy of China,Chengdu 6l0054,China)(2.Department of Mathematics of Hexi University,Zhangye 734000,China)

【机构】 电子科技大学应用数学学院河西学院数学系

【摘要】 在模糊目标信息系统决策约简和可辨识矩阵定义的基础上,讨论了可辨识矩阵的性质以及与决策约简集之间的关系.同时定义一种新的属性重要度,并将此作为启发式信息,设计了一种模糊目标决策信息系统最小决策约简算法,通过实例验证该算法简捷、有效.

【Abstract】 Based on the definition of the decision reduction and the discernibility matrix in the fuzzy object information system,The property of the discernibility matrix and relation between the discernibility matrix and decision reduction set are discussed.At the same time,A new significance of attribute is defined and taking it as heuristic information,a minimal decision reduction algorithm in the fuzzy object decision information system is designed.The result of the example shows that this algorithm is not only brief,but also effective.

【基金】 国家自然科学基金(10671030);电子科技大学中青年学术带头人培养计划(Y02018023601033)
  • 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2009年05期
  • 【分类号】TP18
  • 【被引频次】7
  • 【下载频次】106
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