基于均值和模糊度的犹豫模糊语言排序方法

详细信息    查看全文 | 推荐本文 |

英文篇名：A Ranking Method of Hesitant Fuzzy Linguistic Sets Based on Average and Fuzzy Degree 作者：王中兴 ; 陈绍松 英文作者：WANG Zhong-xing;CHEN Shao-song;College of Mathematics and Information Science,Guangxi University; 关键词：犹豫模糊语言术语集 ; 模糊度 ; 排序 英文关键词：Hesitant Fuzzy Linguistic Set;;Fuzzy Degree;;Ranking 中文刊名：MUTE 英文刊名：Fuzzy Systems and Mathematics 机构：广西大学数学与信息科学学院; 出版日期：2019-02-15 出版单位：模糊系统与数学 年：2019 期：v.33 基金：国家自然科学基金资助项目(71571054) 语种：中文; 页：MUTE201901011 页数：7 CN：01 ISSN：43-1179/O1 分类号：106-112

摘要

根据犹豫模糊语言术语集的特征,定义了犹豫模糊语言术语集的模糊度,以及由犹豫模糊语言术语集的模糊度和其语言术语下标均值构成犹豫模糊语言二元组。基于犹豫模糊语言二元组提出犹豫模糊语言术语集比较的新方法。为了验证开发方法的有效性,给出了一个实例,并对所提出的方法与已有的方法进行了比较。
        In order to compare the hesitant fuzzy linguistic sets, the fuzzy degree is defined and based on fuzzy degree and subscript average of hesitant fuzzy linguistic sets the hesitant fuzzy linguistic two-tuples is constructed. Meanwhile, a new comparison of the hesitant fuzzy linguistic sets is proposed on account of hesitant fuzzy linguistic two-tuples. In order to verify the efficacy of the developed method, an illustrative example is given and comparisons are made between the proposed method and other existing ones. and by an example to illustrate the feasibility and effectiveness of this method.

引文

[1] Rodriguez R M,Martinez L,Herrera F.Hesitant fuzzy linguistic terms sets for decision making[J].IEEE Transactions on Fuzzy Systems,2012,20(1):109～119.
    [2] Torra V.Hesitant fuzzy sets[J].International Journal of Intelligent Systems,2010,25(6):529～539.
    [3] Rodriguez R M,Martinez L,Herrera F.A group decision making model dealing with comparative expressions based on hesitant fuzzy linguistic term sets[J].Information Systems,2013,24(8):28～42.
    [4] Beg I,Rashid T.TOPSIS for hesitant fuzzy lingusitic term sets[J].International Journal of Intelligent Systems,2013,28(12):1162～1171.
    [5] Wang J Q,et al.An outranking approach for multi-criteria decision-making with hesitant fuzzy linguistic term sets[J].Information Systems,2014,280(10):338～351.
    [6] Liao H C,Xu Z S,Zeng X J.Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making[J].Information Sciences,2014,271:125～142.
    [7] Liu H B,Rodriguez R M.A fuzzy envelope for hesitant fuzzy linguistic term set and its application to multicriteria decision making[J].Information Sciences,2014,258(3):220～238.
    [8] Xu Z S.Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J].Information Sciences,2004,168:171～184.
    [9] Lee L W,Chen S M.Fuzzy decision making based on likeihood-based comparison relations of hesitant fuzzy linguistic operators[J].Information Sciences,2015,294(2):513～529.
    [10] Wei C P,Zhao N,Tang X J.Operators and comparisons of hesitant fuzzy linguistic term sets[J].IEEE Transactions on Fuzzy Systems,2014,22(3):575～585.
    [11] Wei C P,Ren Z L,Rodriguez R M.A hesitant fuzzy linguistic TODIM method based on a score function[J].International Journal of Computational Intelligence Systems,2015,8(4):701～712.
    [12] 冯向前,谭倩云,钱钢.犹豫模糊语言的可能度排序方法[J].控制与决策,2016,31(4):640～646.
    [13] Herrera F,Herrera-Viedma E,Verdegay J L.A model of consensus in group decision making under linguistic assessments[J].Fuzzy Sets and Systems,1996,78:73～87.
    [14] Xu Z S.Deviation measures of linguistic preference relations in group decision making[J].The International Journal of Management Sciences,2005,33:249～254.
    [15] 张洪美,徐泽水.基于不确定语言信息的C-OWA和C-OWG算子及其应用[J].解放军理工大学学报,2005,6(6):604～608.
    [16] De Luca A,Termini S.A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory[J].Information & Control,1972,20(4):301～312.