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A new evaluation method based on D-S generalized fuzzy soft sets and its application in medical diagnosis problem

机译：基于D-S广义模糊软集的评估方法及其在医学诊断中的应用

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摘要

Soft set theory, initiated by Molodtsov, is a general mathematical tool for dealing with uncertain problems. In this paper, we first point out that the similarity measure in a previous paper by Majumdar and Samanta [P. Majumdar, S.K. Samanta, Generalized fuzzy soft sets, Comput. Math. Appl. 59 (2010) 1425-1432] is limited by two counterexamples. To deal with the problems of subjective evaluation and uncertain knowledge, this paper proposes the concept of D-S generalized fuzzy soft sets by combining Dempster-Shafer theory of evidence and generalized fuzzy soft sets. We study some of its operations and basic properties, and the relationship between generalized fuzzy soft sets and D-S generalized fuzzy soft sets are introduced. Then we propose the concept of the similarity between two D-S generalized fuzzy soft sets. At last, we present a new method of evaluation based on D-S generalized fuzzy soft sets and apply it into a medical diagnosis problem.
机译：由莫洛佐夫（Molodtsov）发起的软集理论是处理不确定性问题的通用数学工具。在本文中，我们首先指出Majumdar和Samanta [P. Majumdar，S.K. Samanta，广义模糊软集，计算。数学。应用59（2010）1425-1432]受到两个反例的限制。针对主观评价和知识不确定性的问题，结合证据的Dempster-Shafer理论和广义模糊软集，提出了D-S广义模糊软集的概念。我们研究了它的一些运算和基本特性，并介绍了广义模糊软集和D-S广义模糊软集之间的关系。然后提出了两个D-S广义模糊软集之间相似度的概念。最后，我们提出了一种基于D-S广义模糊软集的评估方法，并将其应用于医疗诊断问题。

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  • 来源
    《Applied Mathematical Modelling》 |2012年第10期|p.4592-4604|共13页
  • 作者

    Zhi Xiao; Xianglei Yang; Qing Niu; Yuanxiang Dong; Ke Gong; Sisi Xia; Ying Pang;

  • 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 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;

    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

    generalized fuzzy soft sets; dempster-shafer theory of evidence; D-S generalized fuzzy soft sets; similarity; evaluation;

    机译：广义模糊软集;Dempster-Shafer证据理论;D-S广义模糊软集;相似;评价;

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