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概率不确定语言熵及其多属性群决策

王宁 朱峰

计算机工程与应用2020,Vol.56Issue(1):142-149,8.
计算机工程与应用2020,Vol.56Issue(1):142-149,8.DOI:10.3778/j.issn.1002-8331.1809-0116

概率不确定语言熵及其多属性群决策

Probabilistic Uncertain Linguistic Entropy and Its Application in Multi-attribute Group Deci-sion Making

王宁 1朱峰1

作者信息

  • 1. 郑州大学 商学院,郑州 450001
  • 折叠

摘要

Abstract

A multi-attribute decision-making method based on probabilistic uncertain linguistic entropy is proposed for the multiple uncertain linguistic terms of probabilistic uncertain linguistic term set and characteristics that their probabilistic is different. Firstly, four new probabilistic uncertain linguistic entropy measures are proposed, including the fuzzy entropy, the hesitant entropy, the lack of knowledge entropy and the total entropy to measure the fuzziness, hesitation, lack of knowledge and global uncertainty of probabilistic uncertain linguistic term set respectively. Secondly, the axiomatic definition and expressions of the four entropy measures are given. Finally, the multi-attribute decision-making model that can solve unknown attribute weights is constructed by the four entropy of probabilistic uncertain linguistic term set, and the validity and rationality of the model are verified by case and contrast analysis.

关键词

概率不确定语言集/概率不确定语言熵/不完全信息熵/总熵/多属性决策

Key words

probabilistic uncertain linguistic term set/probabilistic uncertain linguistic entropy/lack of knowledge entropy/total entropy/multi-attribute group decision making

分类

管理科学

引用本文复制引用

王宁,朱峰..概率不确定语言熵及其多属性群决策[J].计算机工程与应用,2020,56(1):142-149,8.

基金项目

国家自然科学基金(No.U1504703) (No.U1504703)

河南省教育厅人文社科重点项目(No.2016-ZD-054) (No.2016-ZD-054)

河南省政府决策研究招标课题(No.2018B092). (No.2018B092)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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