基于扩展TOPSIS的区间梯形二型模糊多属性群决策方法
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- 论文作者：王凤 ; 吴澎 ; 平轶男 ; 周礼刚 ; 陈华友
- 年：2016
- 作者机构：安徽大学数学科学学院;
- 论文关键词：群决策 ; TOPSIS ; 质心 ; 区间二型模糊数
- 英文论文关键词：Group decision making ; TOPSIS method ; Centroid points ; Interval trapezoidal type-2 fuzzy numbers
- 会议召开时间：2016-07-26
- 会议录名称：第十四届中国不确定系统年会、第十八届中国青年信息与管理学者大会论文集
- 语种：中文
- 分类号：O225;O159
- 学会代码：QHIS
- 会议名称：第十四届中国不确定系统年会第十八届中国青年信息与管理学者大会
- 会议地点：中国陕西渭南
- 主办单位：中国运筹学会不确定系统分会
- 学会名称：清华大学数学科学系
- 页数：7
- 文件大小：414k
- 原文格式：D
- 会议级别：全国
摘要
本文针对属性值和属性权重均为区间梯形二型模糊数形式的多属性群决策问题,提出了一种基于扩展的TOPSIS法来确定专家权重的方法,并利用模糊数质心的内心坐标和Euclidean距离法来对区间梯形二型模糊数的大小进行排序。同时提出一种基于扩展的TOPSIS的区间梯形二型模糊多属性群决策方法,通过汽车性能评估案例来说明该方法的可行性和有效性。
This paper proposed an extended TOPSIS method to determine the expert weights in which the attribute values and the attribute weights take the form of the interval trapezoidal type-2 fuzzy numbers, and a method on the incentre of centroids and Euclidean distance to rank interval trapezoidal type-2 fuzzy numbers. This paper also proposed an extended TOPSIS method to deal with group decision making problems.an example about cars evaluating is given to show the feasibility and effectiveness of the proposed approach.
This paper proposed an extended TOPSIS method to determine the expert weights in which the attribute values and the attribute weights take the form of the interval trapezoidal type-2 fuzzy numbers, and a method on the incentre of centroids and Euclidean distance to rank interval trapezoidal type-2 fuzzy numbers. This paper also proposed an extended TOPSIS method to deal with group decision making problems.an example about cars evaluating is given to show the feasibility and effectiveness of the proposed approach.
引文
[1]王栋.基于梯形模糊数的多属性决策方法研究[D].哈尔滨:哈尔滨工业大学硕士学位论文,2008.
[2]周亚.多属性决策中的TOPSIS法研究[D].武汉:武汉理工大学硕士学位论文,2009.
[3]杜政伟.基于区间值模糊集的多属性决策方法研究与应用[D].济南:山东经济学院硕士学位论文,2010.
[4]Chen T Y.An interactive method for multiple criteria group decision analysis based on interval type-2 fuzzy sets and its application to medical decision making[J].Fuzzy Optimization&Decision Making,2013,12(3):323-356.
[5]Hwang C L,Yoon K.Methods for Multiple Attribute Decision Making[M]//Multiple Attribute Decision Making.Springer Berlin Heidelberg,1981:58-191.
[6]梁昌勇,戚筱雯,丁勇,等.一种基于TOPSIS的混合型多属性群决策方法[J].中国管理科学,2012,20(4):109-117.
[7]Jahanshahloo G.R.,Lotfi F.H.,Izadikhah M..An algorithmic method to extend TOPSIS for decision-making problems with interval data[J].Applied mathematics and computation,2006,175(2):1375-1384.
[8]张吉军,樊玉英.权重为区间数的多指标决策问题的逼近理想点法[J].系统工程与电子技术,2002,24(11):76-77.
[9]侯志东,吴祈宗,基于Hausdatrff度量的模糊TOPSIS方法研究[J].数学的实践与认识,2005,35(3):233-237.
[10]夏勇其,吴祈宗.一种混合型多属性决策问题TOPSIS方法[J].系统工程学报,2004,19(6):630-634..
[11]Xu Z.S.,Chen J..An interactive method for fuzzy multiple attribute group decision making[J].Information Sciences,2007,177(1):248-263.
[12]和媛媛,周德群.区间数多属性决策问题的逼近理想点方法[J].统计与决策,2009(24):9-11.
[13]Liu P.D..An extended TOPSIS method for multiple attribute group decision making based on generalized interval-valued trapezoidal fuzzy numbers[J].Scientific Research&Essays,2011,35(2):185-196.
[14]Chen T.Y.Signed distanced-based TOPSISmethod for multiple criteria decision analysis based on generalized interval-valued fuzzy numbers[J].International Journal of Information Technology&Decision Making,2012,10(6):1131-1159.
[15]Mendel J.M.,John R.,Liu F.Interval type-2fuzzy logic systems made simple[J].IEEETransactions on Fuzzy Systems,2006,14(6):808-821.
[16]Ma X.Y.,Wu P.,Zhou L.G.,Chen H.Y.,Zheng T.,Ge J.Q.Approaches based on interval type-2fuzzy aggregation operators for multiple attribute group decision making[J].International Journal of Fuzzy Systems,2015,doi:10.1007/s40815-015-0092-6.
[17]Wei S.H.,Chen S.M.Fuzzy risk analysis based on interval-valued fuzzy numbers.Expert Systems with Applications,2009,36,2285-2299.
[18]Rezvani S..Ranking generalized trapezoidal fuzzy numbers with euclidean distance by the incentre of centroids[J].Mathematica Aeterna,2013,3(2):103-114.
[19]丁晓阳,桂梅,付海艳,张诚一.基于TOPSIS扩展的直觉模糊多属性群决策[J].海南师范大学学报:自然科学版,2012,25(4):355-359.
[20]Chen S.M.,Lee L.W.Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method[J].Expert Systems with Applications,2010,37(4):2790-2798.
[2]周亚.多属性决策中的TOPSIS法研究[D].武汉:武汉理工大学硕士学位论文,2009.
[3]杜政伟.基于区间值模糊集的多属性决策方法研究与应用[D].济南:山东经济学院硕士学位论文,2010.
[4]Chen T Y.An interactive method for multiple criteria group decision analysis based on interval type-2 fuzzy sets and its application to medical decision making[J].Fuzzy Optimization&Decision Making,2013,12(3):323-356.
[5]Hwang C L,Yoon K.Methods for Multiple Attribute Decision Making[M]//Multiple Attribute Decision Making.Springer Berlin Heidelberg,1981:58-191.
[6]梁昌勇,戚筱雯,丁勇,等.一种基于TOPSIS的混合型多属性群决策方法[J].中国管理科学,2012,20(4):109-117.
[7]Jahanshahloo G.R.,Lotfi F.H.,Izadikhah M..An algorithmic method to extend TOPSIS for decision-making problems with interval data[J].Applied mathematics and computation,2006,175(2):1375-1384.
[8]张吉军,樊玉英.权重为区间数的多指标决策问题的逼近理想点法[J].系统工程与电子技术,2002,24(11):76-77.
[9]侯志东,吴祈宗,基于Hausdatrff度量的模糊TOPSIS方法研究[J].数学的实践与认识,2005,35(3):233-237.
[10]夏勇其,吴祈宗.一种混合型多属性决策问题TOPSIS方法[J].系统工程学报,2004,19(6):630-634..
[11]Xu Z.S.,Chen J..An interactive method for fuzzy multiple attribute group decision making[J].Information Sciences,2007,177(1):248-263.
[12]和媛媛,周德群.区间数多属性决策问题的逼近理想点方法[J].统计与决策,2009(24):9-11.
[13]Liu P.D..An extended TOPSIS method for multiple attribute group decision making based on generalized interval-valued trapezoidal fuzzy numbers[J].Scientific Research&Essays,2011,35(2):185-196.
[14]Chen T.Y.Signed distanced-based TOPSISmethod for multiple criteria decision analysis based on generalized interval-valued fuzzy numbers[J].International Journal of Information Technology&Decision Making,2012,10(6):1131-1159.
[15]Mendel J.M.,John R.,Liu F.Interval type-2fuzzy logic systems made simple[J].IEEETransactions on Fuzzy Systems,2006,14(6):808-821.
[16]Ma X.Y.,Wu P.,Zhou L.G.,Chen H.Y.,Zheng T.,Ge J.Q.Approaches based on interval type-2fuzzy aggregation operators for multiple attribute group decision making[J].International Journal of Fuzzy Systems,2015,doi:10.1007/s40815-015-0092-6.
[17]Wei S.H.,Chen S.M.Fuzzy risk analysis based on interval-valued fuzzy numbers.Expert Systems with Applications,2009,36,2285-2299.
[18]Rezvani S..Ranking generalized trapezoidal fuzzy numbers with euclidean distance by the incentre of centroids[J].Mathematica Aeterna,2013,3(2):103-114.
[19]丁晓阳,桂梅,付海艳,张诚一.基于TOPSIS扩展的直觉模糊多属性群决策[J].海南师范大学学报:自然科学版,2012,25(4):355-359.
[20]Chen S.M.,Lee L.W.Fuzzy multiple attributes group decision-making based on the interval type-2 TOPSIS method[J].Expert Systems with Applications,2010,37(4):2790-2798.