一种Vague软集的模糊综合评判模型Fuzzy comprehensive evaluation model based on Vague soft sets
韦波,邹瑶,解青青
摘要(Abstract):
针对基于模糊矩阵的模糊综合评判多级运算比较繁琐的问题,该文提出和构建了基于Vague软集的模糊综合评判模型。将评语集和因素集统一至Vague软集的论域和参数集中,采用Vague软集相似度量代替模糊综合评判矩阵,使得计算过程由多级计算变换为一级计算,避免了矩阵运算和矩阵维数发生变化带来的问题。计算实例对比表明:该模型能够得到正确的综合评价结果,提出的依据Vague软集相似度量构建的模糊综合评判模型,实现了在避免矩阵运算的同时,保证了综合评价结果的正确性。
关键词(KeyWords): 模糊综合评判;Vague软集;相似度量;选址
基金项目(Foundation): 国家自然科学基金项目(41461085);; 广西自然科学基金项目(2016GXNSFAA380035);; 广西空间信息与测绘重点实验室基金项目(16-380-25-04);; 桂林理工大学博士基金项目(1996015)
作者(Author): 韦波,邹瑶,解青青
DOI: 10.16251/j.cnki.1009-2307.2019.03.016
参考文献(References):
- [1]冯文卿,张永军.利用模糊综合评判进行面向对象的遥感影像变化检测[J].武汉大学学报(信息科学版),2016,41(7):875-881.(FENG Wenqing,ZHANGYongjun.Object-oriented chang detection for remotesensing images based on fuzzy comprehensive evalua-tion[J].Geomatics and Information Science of WuhanUniversity,2016,41(7):875-881.)
- [2]季佳佳,赵冬玲,杨建宇,等.基于多层次模糊综合评判法的土地变更调查数据质量评价研究[J].中国土地科学,2015,29(4):90-96.(JI Jiajia,ZHAO Dongling,YANG Jianyu,et al.Quality assessment of landchanging investigation data based on multi-level basedon fuzzy comprehensive evaluation method[J].ChinaLand Sciences,2015,29(4):90-96.)
- [3]黄晶晶,付正飞,罗朝晖,等.武汉市垃圾填埋场选址适宜性区划研究[J].环境工程,2015,33(9):105-108.(HUANG Jingjing,FU Zhengfei,LUO Zhaohui,et al.Study on suitability zoning for the site selection oflangfill in Wuhan city[J].Environmental Engineering,2015,33(9):105-108.)
- [4]郭兆夏,梁轶,王景红,等.GIS技术支持下的陕西核桃精细化气候适宜性区划[J].干旱地区农业研究,2015,33(1):194-198.(GUO Zhaoxia,LIANG Yi,WANGJinghong,et al.Climate regionalization for walnut plantin Shanxi province based on GIS[J].AgriculturalResearch in the Arid Areas,2015,33(1):194-198.)
- [5]刘志祥,冯凡,王剑波,等.模糊综合评判法在矿山岩体质量分级中的应用[J].武汉理工大学学报,2014,36(1):129-134.(LIU Zhixiang,FENG Fan,WANGJianbo,et al.Application of fuzzy synthesis assessmentmethod on classification of rock mass in mine[J].Journalof Wuhan University of Technology,2014,36(1):129-134.)
- [6]潘润秋,刘珺,宋丹妤.基于模糊综合分析法的农用地分等方法[J].农业工程学报,2014,30(18):257-265.(PAN Runqiu,LIU Jun,SONG Danyu.Agriculturalland classification based on fuzzy comprehensiveanalysis[J].Transactions of the Chinese Society ofAgricultural Engineering,2014,30(18):257-265.)
- [7]张彦蕊,黄冬梅.基于AHP和模糊综合评判的生活垃圾处理模式评价[J].数学的实践与认识,2014,44(3):55-61.(ZHANG Yanrui,HUANG Dongmei.Evaluationof MSW disposal pattern based on AHP and fuzzymethods[J].Journal of Mathematics in Practice andTheory,2014,44(3):55-61.)
- [8]霍攀,曹丽文,田艳凤.AHP与模糊评判法在垃圾填埋场选址中的应用对比[J].环境工程,2015,33(3):131-135.(HUO Pan,CAO Liwen,TIAN Yanfeng.Applicationand comparison of AHP and fuzzy evaluation method inlandfill siting[J].Environmental Engineering,2015,33(3):131-135.)
- [9]GAU W L,BUEHRER D J.Vague sets[J].IEEETransactions on Systems,Man and Cybernetics,1993,23(2):610-614.
- [10]MOLODTSOVD D.Soft set theory:first results[J].Computer and Mathematics with Applications,1999,37(4-5):19-31.
- [11]XU W,MA J,WANG S Y,et al.Vague soft sets andtheir properties[J].Computer and Mathematics withApplications,2010,59(2):787-794.
- [12]邓维斌,许昌林,樊自甫.基于Vague集相似度量的多准则模糊决策方法[J].系统工程理论与实践,2014,34(4):981-990.(DENG Weibin,XU Changlin,FANZifu.Multi-criteria fuzzy decision making method basedon similarity measures between Vague sets[J].Systems Engineering-Theory &Practice,2014,34(4):981-990.)
- [13]黎雯,周廷刚,张伟.GIS空间分析与模糊综合评判在银行ATM网点选址中的应用[J].测绘科学,2008,33(1):229-231.(LI Wen,ZHOU Tinggang,ZHANGWei.The application of spatial analysis of GIS andfuzzy synthetic evaluation in site location of ATMnetwork[J].Science of Surveying and Mapping,2008,33(1):229-231.)
- [14]BIGAND A,COLOT O.Fuzzy filter based on interval-valued fuzzy sets for image filtering[J].Fuzzy Sets andSystems,2010,161(1):96-117.
- [15]WANG C,QU A J.Entropy,similarity measure anddistance measure of Vague soft sets and their relations[J].Information Sciences,2013,244(7):92-106.
- [16]彭立,杨武年,刘汉湖,等.基于RS和GIS的地震移民选址空间决策研究与实现[J].西南大学学报(自然科学版),2011,33(3):96-103.(PENG Li,YANGWunian,LIU Hanhu,et al.Study on spatial decision-making of site selection for earthquake-inducedmigration using remote sensing and GIS technology[J].Journal of Southwest University(Natural ScienceEdition),2011,33(3):96-103.)
- [17]何雅琴,李杰.基于AHP的城市突发公共事件交通应急等级判定[J].公路交通科技,2013,30(3):136-140.(HE Yaqin,LI Jie.Grading of traffic emergencyresponse to urban emergency based on AHP[J].Journalof Highway and Transportation Research andDevelopment,2013,30(3):136-140.)