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基于交叉熵的正态分布区间数多属性决策方法

毛军军 王翠翠 姚登宝 孙丽

计算机工程与应用2012,Vol.48Issue(33):44-48,5.
计算机工程与应用2012,Vol.48Issue(33):44-48,5.DOI:10.3778/j.issn.1002-8331.1207-0315

基于交叉熵的正态分布区间数多属性决策方法

Multi-attribute decision-making method of normal distribution interval number based on cross-entropy

毛军军 1王翠翠 2姚登宝 1孙丽1

作者信息

  • 1. 安徽大学数学科学学院,合肥230601
  • 2. 安徽大学计算智能与信号处理教育部重点实验室,合肥230039
  • 折叠

摘要

Abstract

A multi-attribute decision-making method based on cross-entropy and score function is presented for information environment is normal distribution interval number. The transformation approach between classical interval number and normal distribution interval number is introduced by 3a criterion, and concepts are proposed such as cross-entropy and entropy and relevant propositions. Based on the principle of minimizing the total discrimination information between every object and the positive ideal object, the formula of attribute weights is proposed by constructing non-linear programming model. This paper also studies the aggregating method and comparison method of normal distribution interval number, and proposes a new multi-attribute decision-making approach. The method is applied in multi-attribute decision-making and pattern recognition respectively, and the feasibility and facility of the proposed method are verified.

关键词

正态分布区间数/多属性决策/交叉熵/得分函数/集结

Key words

normal distribution interval number/ multi-attribute decision-making/ cross-entropy/ score function/ aggregating

分类

信息技术与安全科学

引用本文复制引用

毛军军,王翠翠,姚登宝,孙丽..基于交叉熵的正态分布区间数多属性决策方法[J].计算机工程与应用,2012,48(33):44-48,5.

基金项目

国家自然科学基金(No.61073117) (No.61073117)

安徽省高等学校青年基金项目(No.2011SQRL186) (No.2011SQRL186)

安徽大学学术创新团队资助(No.KJTD001B) (No.KJTD001B)

安徽大学研究生创新项目资助(No.yfc100017,No.yfc100018). (No.yfc100017,No.yfc100018)

计算机工程与应用

OACSCDCSTPCD

1002-8331

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