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首页> 外文期刊>Applied Mathematical Modelling >The trapezoidal fuzzy soft set and its application in MCDM
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The trapezoidal fuzzy soft set and its application in MCDM

机译：梯形模糊软集及其在MCDM中的应用

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摘要

Soft set theory is a newly emerging mathematical tool to deal with uncertain problems. Since the trapezoidal fuzzy number, as a vital concept of fuzzy set, can express linguistic assessments by transforming them into numerical variables objectively, this paper aims to extend classical soft sets to trapezoidal fuzzy soft sets based on trapezoidal fuzzy numbers. Then, some operations on a trapezoidal fuzzy soft set are defined, such as complement operation, "AND" operation, and "OR" operation. Finally, a Multiple Criterion Decision-Making (MCDM) problem under a fuzzy environment is analyzed by trapezoidal fuzzy soft sets with the demonstration of a numerical example. This paper also uses traditional fuzzy soft sets to deal with the MCDM problem. The result shows that the method provided by this paper outperforms the traditional one.
机译：软集合理论是一种处理不确定性问题的新兴数学工具。由于梯形模糊数作为模糊集的重要概念，可以通过客观地将其转换为数值变量来表达语言评估，因此本文旨在将经典软件集扩展为基于梯形模糊数的梯形模糊软集。然后，定义了对梯形模糊软集的一些运算，例如补码运算，“ AND”运算和“ OR”运算。最后，通过梯形模糊软集并结合数值例子，分析了模糊环境下的多准则决策问题。本文还使用传统的模糊软集来处理MCDM问题。结果表明，本文提出的方法优于传统方法。

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  • 来源
    《Applied Mathematical Modelling》 |2012年第12期|p.5844-5855|共12页
  • 作者

    Zhi Xiao; Sisi Xia; Ke Gong; Dan Li;

  • 作者单位

    School of Economics and Business Administration, Chongqing University. Chongqing 400044, PR China;

    School of Economics and Business Administration, Chongqing University. Chongqing 400044, PR China;

    School of Management, Chongqing Jiaotong University, Chongqing 400074, PR China;

    School of Economics and Business Administration, Chongqing University. Chongqing 400044, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    soft sets; trapezoidal fuzzy numbers; trapezoidal fuzzy soft sets; operation; MCDM;

    机译：软套梯形模糊数;梯形模糊软集;操作MCDM;

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