广西师范大学学报（自然科学版） ›› 2017, Vol. 35 ›› Issue (4): 39-48.doi: 10.16088/j.issn.1001-6600.2017.04.006

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基于新Vague软集模糊熵-Topsis的地标决策

孟媛媛1,2,韦 波1,2*,邹 瑶1,2   

  1. 1.桂林理工大学广西空间信息与测绘重点实验室,广西桂林541004;
    2.桂林理工大学测绘地理信息学院,广西桂林541004
  • 出版日期:2017-07-25 发布日期:2018-07-25
  • 通讯作者: 韦波(1974—),男(瑶族),广西荔浦人,桂林理工大学副教授,博士。E-mail:superweibo@126.com
  • 基金资助:
    国家自然科学基金(41461085);广西自然科学基金(2016GXNSFAA380035);广西空间信息与测绘重点实验室基金(16-380-25-04);广西“八桂学者”团队专项经费项目(2013-3);桂林理工大学博士基金(GUT1996015)

The Landmark Decision Based on a New Vague Soft Set FuzzyEntropy-Topsis Theory

MENG Yuanyuan1,2,WEI Bo1,2*,ZOU Yao 1,2   

  1. 1.Guangxi Key Laboratory of Spatial Information and Geomatics, Guilin University of Technology, Guilin Guangxi 541004,China;
    2.College of Geomatics and Geoinformation, Guilin University of Technology, Guilin Guangxi 541004,China
  • Online:2017-07-25 Published:2018-07-25

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摘要： 本文分析了现有模糊熵构造方法存在的不足,并提出一种新的Vague软集模糊熵构造方法。该方法既包含Vague集的模糊度又包含其本身的犹豫度,采用Vague集真假隶属度的距离所产生的不确定度和其未知度相加来综合度量影响模糊熵的这2种因素,令调节系数取值为常数,让其简单乘以1/2,以符合Vague软集模糊熵的约束条件。通过与现有模糊熵对比,表明了该模糊熵的合理性。最后通过建立模糊熵-Topsis地标决策模型,剔除信息中的模糊性,并对地标的有效信息进行量化且加入权重,最终以各个地标与参照点之间的相对距离表示地标的排序。将该模糊熵用于地标排序,表明其能够做出有效的最优决策。

关键词: Vague软集, 模糊熵, Topsis法, 地标排序, 最优决策

Abstract: Based on the analysis of the defect of existing construction method on Vague soft set entropy,this article proposes a new method of Vague soft sets fuzzy entropy,which contains both unpredictability and uncertainty of Vague sets itself.The two factors that influence the fuzzy entropy are comprehensively measured by adding the uncertainty and the unknown degree of the distance between the true and false membership of the Vague set.The value of the adjustment factor is set to be a constant,which is multiplied by 1/2 to match the constraints of the Vague soft set fuzzy entropy.Compared with the existing fuzzy entropy,it is shown that its rationality through the data analysis is good. By establishing a landmark model by the new fuzzy entropy-Topsis theory,the fuzziness of the information is eliminated,and the effective information of the landmark is quantified and weighted.At last,the ranking of the landmarks is represented by the relative distance between the landmarks and the reference points.The proposed fuzzy entropy of Vague soft sets are applied to landmark sort,showing it can make the optimal decision effectively.

Key words: Vague soft sets, fuzzy entropy, Topsis method, landmark sort, optimal decision

中图分类号: 

  • TP18
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