计算机科学 ›› 2014, Vol. 41 ›› Issue (3): 50-54.

• 2013' 粗糙集 • 上一篇    下一篇

基于模糊数风险最小化的拓展决策粗糙集模型

衷锦仪,叶东毅   

  1. 福州大学数学与计算机科学学院 福州350108;福州大学数学与计算机科学学院 福州350108
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家自然科学基金项目(71231003),福建省自然科学基金项目(2012J01262)资助

Extended Decision-theoretic Rough Set Models Based on Fuzzy Minimum Cost

ZHONG Jin-yi and YE Dong-yi   

  • Online:2018-11-14 Published:2018-11-14

摘要: 决策粗糙集模型中损失函数一般是基于单值的。考虑到实际决策问题中损失函数的不确定特征,为了处理一般的情形,引入模糊数来表示损失函数。从模糊数学的角度出发,通过一系列模糊运算得出决策阈值α、β的模糊分布,并据此给出决策规则。同时,对比区间决策粗糙集模型,给出获得更紧凑的阈值α、β上、下确界的方法。最后,通过一个石油投资的例子来阐明该模型的应用过程。

关键词: 决策粗糙集理论,概率粗糙集理论,贝叶斯过程,模糊数 中图法分类号TP18,N945.25文献标识码A

Abstract: The loss function in decision-theoretic rough set theory is generally a single-valued function.Considering the “uncertainty” character in practical decision-making,we introduced a fuzzy-number based loss function to deal with a more general decision-making problem under uncertainty.The fuzzy distributions of the decision thresholds α,β were calculated through series of fuzzy operations,and the corresponding decision rules were given.A method for getting more compact supremum and infimum of the thresholds α,β was also presented.An example of oil investment was given to illuminate the proposed model in applications.

Key words: Decision-theoretic rough set theory,Probabilistic rough set theory,Bayesian decision procedure,Fuzzy number

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