高师理科学刊2024,Vol.44Issue(8) :35-43,49.DOI:10.3969/j.issn.1007-9831.2024.08.006

Z-numbers的否定及其在多属性决策中的应用

Negation of Z-Numbers and their application in multi-attribute decision making

颜茜 冯波 裴峥
高师理科学刊2024,Vol.44Issue(8) :35-43,49.DOI:10.3969/j.issn.1007-9831.2024.08.006

Z-numbers的否定及其在多属性决策中的应用

Negation of Z-Numbers and their application in multi-attribute decision making

颜茜 1冯波 1裴峥1
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作者信息

  • 1. 西华大学理学院,四川成都 610039
  • 折叠

摘要

否定命题是数理逻辑中的重要表示方式,也是智能信息处理中刻画信息的关键工具.Z-number是一种新的不确定性语言信息表示方式.回顾了否定的相关研究,并介绍了可能性分布的否定在Z-number理论中的应用.通过最大香农熵和粒子群算法,提出了一种优化模型,用于发现Z-number中隐藏的可能性分布.研究表明,Z-number的否定为语言决策分析和解决复杂问题提供了有效工具.

Abstract

Negative proposition is an important representation in mathematical logic and a key tool to describe information in intelligent information processing.Z-number is a new representation of uncertain language information.The research on negation is reviewed,and the application of negation of possibility distribution in Z-number theory is introduced.By means of maximum Shannon entropy and particle swarm optimization algorithm,an optimization model is proposed to discover the hidden possibility distribution in Z-number.The research shows that Z-number negation provides an effective tool for language decision analysis and solving complex problems.

关键词

Z-number/最大香农熵算法/粒子群优化算法/TOPSIS多属性决策

Key words

Z-number/maximum Shannon entropy algorithm/particle swarm optimization algorithm/TOPSIS multi-attribute decision making

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出版年

2024
高师理科学刊
齐齐哈尔大学

高师理科学刊

影响因子:0.351
ISSN:1007-9831
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