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基于犹豫模糊软集的多准则决策方法 被引量：2

Multi-criteria Decision Making Approach Based on Hesitant Fuzzy Soft Set
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摘要 犹豫模糊软集是犹豫模糊集和软集的结合,是Babitha和John学者于2013年提出的新理论成果。它能解决犹豫模糊集参数化工具的不足,能够使决策更加精确。文章在Babitha和John学者研究的基础上,定义了几类集结算子及其运算规则,并通过算例分析,验证了其在多准则决策中的可行性和有效性,使得犹豫模糊软集理论得到了进一步的发展和完善,也为下一步的研究提供参考。 Hesitant fuzzy soft set,the combination of hesitant fuzzy set and soft set,is a new approach initiated by Babitha and John in 2013.Hesitant fuzzy soft set can solve the inadequacy of the parameterization tool on hesitant fuzzy set to make decision making more accurate.Based on Babitha and John＇s research on hesitant fuzzy soft set,the paper develops some aggregation operators and operations,which are proved feasibility and effectiveness in multi-criteria decision making by analysis of numerical example.It makes hesitant fuzzy soft set theory further developed and improved and will also give references for future study.
作者 吴良刚 周赛军
机构地区 中南大学商学院
出处 《模糊系统与数学》 CSCD 北大核心 2016年第1期108-119,共12页 Fuzzy Systems and Mathematics
关键词 软集 犹豫模糊软集 集结算子 多准则决策 Soft Set Hesitant Fuzzy Soft Set Aggregation Operators Multi-criteria Decision Making
分类号 O159 [理学—基础数学]
  • 相关文献

参考文献12

  • 1Zadeh L A. Fuzzy sets[J]. Information and Control, 1965,8(3) : 338-353.
  • 2Molodtsov D. Soft set theory--first results[J]. Computers & Mathematics with Applications, 1999,37 (4) : 19- 31.
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  • 9文喜.犹豫模糊软集[J].计算机工程与应用,2015,51(24):56-60. 被引量：11
  • 10Xu Z S, Xia M M. Hesitant fuzzy information aggregation in decision making [J]. International Journal of Approximate Reasoning, 2011,52 (3) : 395 - 407.

二级参考文献11

  • 1Zadeh L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353.
  • 2Atanassov K T.Intuitionistic fuzzy sets[J].Fuzzy Sets and Systems,1986,20(1):87-96.
  • 3Torra V.Hesitant fuzzy sets[J].International Journal of Intelligent Systems,2010,25(6):529-539.
  • 4Torra V,Narukawa Y.On hesitant fuzzy sets and decision[C]//The 18th IEEE Int Conf Fuzzy Systems,Jeju Island,Korea,2009:1378-1382.
  • 5Molodtsov D.Soft set theory—first results[J].Computers&Mathematics with Applications,1999,37(4):19-31.
  • 6Maji P K,Biswas R,Roy A R.Soft set theory[J].Computers&Mathematics with Applications,2003,45(4):555-562.
  • 7Xu Z,Xia M.Distance and similarity measures for hesitant fuzzy sets[J].Information Sciences,2011,181(11):2128-2138.
  • 8Xu Z,Xia M.On distance and correlation measures of hesitant fuzzy information[J].International Journal of Intelligent Systems,2011,26(5):410-425.
  • 9Zhou X,Li Q.Some new similarity measures for hesitant fuzzy sets and their applications in multiple attribute decision making[EB/OL].(2012-12-22).http://arxiv.org/pdf/1211.4125v2.pdf.
  • 10Xia M,Xu Z.Hesitant fuzzy information aggregation in decision making[J].International Journal of Approximate Reasoning,2011,52(3):395-407.

共引文献10

同被引文献16

引证文献2

二级引证文献20

模糊系统与数学
2016年 第1期

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