基于梯形直觉模糊数的改进DEMATEL方法
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摘要
针对传统DEMATEL方法在评价复杂系统因素间影响关系时,表征评估信息时存在模糊性、反映专家判断时存在不确定性等问题,提出基于梯形直觉模糊数的改进DEMATEL方法。该方法运用可转化为梯形直觉模糊数的语言变量表征专家对复杂系统因素之间影响程度的评分,清晰化综合关系模糊影响矩阵得到系统中各影响因素的原因度和中心度,并且通过实例结果证明了该方法的有效性。
Aiming at the problem that the traditional DEMATEL method is used to evaluate the influence of complex system factors,it is ambiguous to characterize the evaluation information and reflect the uncertainty of expert judgment.A modified DEMATEL method based on trapezoidal intuitionistic fuzzy numbers was proposed.In this method,linguistic variables that can be transformed into trapezoidal intuitionistic fuzzy numbers were used to characterize the experts' scoring of the influence degree between complex system factors,and the reasoning degree and center degree of each influencing factor in the system were clarified by clarifying the comprehensive relationship fuzzy influence matrix.The validity of this method was proven.
Aiming at the problem that the traditional DEMATEL method is used to evaluate the influence of complex system factors,it is ambiguous to characterize the evaluation information and reflect the uncertainty of expert judgment.A modified DEMATEL method based on trapezoidal intuitionistic fuzzy numbers was proposed.In this method,linguistic variables that can be transformed into trapezoidal intuitionistic fuzzy numbers were used to characterize the experts' scoring of the influence degree between complex system factors,and the reasoning degree and center degree of each influencing factor in the system were clarified by clarifying the comprehensive relationship fuzzy influence matrix.The validity of this method was proven.
引文
[1] Fontela E,Gabus A.DEMATEL:Progress achieved[J].Futures,1974,6(4):361-363.
[2] Wu HH,Chang S Y.A case study of using DEMATEL method to identify critical factors in green supply chain management[J].Applied Mathematics & Computation,2015,256(C):394-403.
[3] Chen JJ,Wu J C S,Wu P C,et al.Plasmonic Photocatalyst for H2 Evolution in Photocatalytic Water Splitting[J].Journal of Physical Chemistry C,2011,115(1):210-216.
[4] Jeoushyan H,Liu C H,Shengfang C,et al.Creativity as a critical criterion for future restaurant space design:developing a novel model with DEMATEL application[J].International Journal of Hospitality Management,2013,33(1):96-105.
[5] Shen Y C,Lin G T R,Tzeng G H.Combined DEMATEL techniques with novel MCDM for the organic light emitting diode technology selection[J].Expert Systems with Applications,2011,38(3):1468-1481.
[6] Chen J K,Chen I S.Using a novel conjunctive MCDM approach based on DEMATEL,fuzzy ANP,and TOPSIS as an innovation support system for Taiwanese higher education[J].Expert Systems with Applications,2010,37(3):1981-1990.
[7] 孙宝军,李存斌.基于区间犹豫模糊偏好的改进DEMATEL方法[J].内蒙古师大学报(自然汉文版),2014(6):699-702.
[8] Michnik J.Weighted Influence Non-linear Gauge System (WINGS) – An analysis method for the systems of interrelated components ☆[J].European Journal of Operational Research,2013,228(3):536-544.
[9] Zhou D,Zhang L.Establishing hierarchy structure in complex systems based on the integration of DEMATEL andISM[J].Journal of Management Sciences in China,2008,11(2):20-26.
[10] G?lcük ,Baykasolu A.An analysis of DEMATEL approaches for criteria interaction handling within ANP[J].Expert Systems with Applications,2016,46:346-366.
[11] Shafiee M,Lotfi F H,Saleh H.Supply chain performance evaluation with data envelopment analysis and balanced scorecard approach[J].Applied Mathematical Modelling,2014,38(21–22):5092-5112.
[12] Yang Y P O,Shieh H M,Tzeng G H.A VIKOR technique based on DEMATEL and ANP for information security risk control assessment[J].Information Sciences,2013,232(5):482-500.
[13] Tsai W,Chou W.Selecting management systems for sustainable development in SMEs:A novel hybrid model based on DEMATEL,ANP,and ZOGP[J].Expert Systems with Applications,2009,36(2):1444-1458.
[14] 孙永河,韩玮,段万春.复杂系统DEMATEL算法研究进展评述[J].控制与决策,2017,32(3):385-392.
[15] Jeng J F,Tzeng G H.Social influence on the use of Clinical Decision Support Systems:Revisiting the Unified Theory of Acceptance and Use of Technology by the fuzzy DEMATEL technique[J].Computers & Industrial Engineering,2012,62(3):819-828.
[16] Govindan K,Khodaverdi R,Vafadarnikjoo A.Intuitionistic fuzzy based DEMATEL method for developing green practices and performances in a green supply chain[J].Expert Systems with Applications,2015,42(20):7207-7220.
[17] Wu WW.Segmenting critical factors for successful knowledge management implementation using the fuzzy DEMATEL method[J].Applied Soft Computing Journal,2012,12(1):527-535.
[18] 谢晖,段万春,孙永河.基于直觉模糊偏好信息的群组DEMATEL决策方法,2014年1月21日[J].计算机工程与应用,2014,50(11):33-38.
[19] Herrera F,Herrera-Viedma E,Martínez L.A fusion approach for managing multi-granularity linguistic term sets in decision making[J].Fuzzy Sets & Systems,2000,114(1):43-58.
[20] Terng C L,Wang E.Curved Flats,Exterior Differential Systems,and Conservation Laws[M]// Complex,Contact and Symmetric Manifolds.Birkh?user Boston,2005:235-254.
[21] Fontela E,Gabus A.DEMATEL:Progress achieved[J].Futures,1974,6(4):361-363.
[22] Lourenzutti R,Krohling R A ,Reformat M Z .Choquet based TOPSIS and TODIM for dynamic and heterogeneous decision making with criteria interaction[J].Information Sciences,2017:S0020025517306941.
[23] 万树平,董九英.多属性群决策的直觉梯形模糊数法[J].控制与决策,2010(5):773-776.
[24] 王瑛,赵谦,李石良.模糊多属性决策投影法在科技奖励评价中的应用[J].科学学与科学技术管理,2010,31(12):18-22.
[25] Wu J,Liu Y.An approach for multiple attribute group decision making problems with interval-valuedintuitionistic trapezoidal fuzzy numbers[J].Computers & Industrial Engineering,2013,66(2):311-324.
[26] 刘培德,金芳.区间直觉不确定语言集成算子及在群决策中的应用研究[J].管理工程学报,2014,28(1):124-130.
[27] Büyük?zkan G,?if?i G.A novel hybrid MCDM approach based on fuzzy DEMATEL,fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers[J].Expert Systems with Applications,2012,39(3):3000-3011.
[28] Ko D G,Kirsch L J,King W R.Antecedents of Knowledge Transfer from Consultants to Clients in Enterprise System Implementations[J].Mis Quarterly,2005,29(1):59-85.
[29] 李靖华,常晓然.基于元分析的知识转移影响因素研究[J].科学学研究,2013,31(3):394-406.Hansen M T.The Search-Transfer Problem:The Role of Weak Ties in Sharing Knowledge across Organization Subunits[J].Administrative Science Quarterly,1999,44(1):82-111.
[2] Wu HH,Chang S Y.A case study of using DEMATEL method to identify critical factors in green supply chain management[J].Applied Mathematics & Computation,2015,256(C):394-403.
[3] Chen JJ,Wu J C S,Wu P C,et al.Plasmonic Photocatalyst for H2 Evolution in Photocatalytic Water Splitting[J].Journal of Physical Chemistry C,2011,115(1):210-216.
[4] Jeoushyan H,Liu C H,Shengfang C,et al.Creativity as a critical criterion for future restaurant space design:developing a novel model with DEMATEL application[J].International Journal of Hospitality Management,2013,33(1):96-105.
[5] Shen Y C,Lin G T R,Tzeng G H.Combined DEMATEL techniques with novel MCDM for the organic light emitting diode technology selection[J].Expert Systems with Applications,2011,38(3):1468-1481.
[6] Chen J K,Chen I S.Using a novel conjunctive MCDM approach based on DEMATEL,fuzzy ANP,and TOPSIS as an innovation support system for Taiwanese higher education[J].Expert Systems with Applications,2010,37(3):1981-1990.
[7] 孙宝军,李存斌.基于区间犹豫模糊偏好的改进DEMATEL方法[J].内蒙古师大学报(自然汉文版),2014(6):699-702.
[8] Michnik J.Weighted Influence Non-linear Gauge System (WINGS) – An analysis method for the systems of interrelated components ☆[J].European Journal of Operational Research,2013,228(3):536-544.
[9] Zhou D,Zhang L.Establishing hierarchy structure in complex systems based on the integration of DEMATEL andISM[J].Journal of Management Sciences in China,2008,11(2):20-26.
[10] G?lcük ,Baykasolu A.An analysis of DEMATEL approaches for criteria interaction handling within ANP[J].Expert Systems with Applications,2016,46:346-366.
[11] Shafiee M,Lotfi F H,Saleh H.Supply chain performance evaluation with data envelopment analysis and balanced scorecard approach[J].Applied Mathematical Modelling,2014,38(21–22):5092-5112.
[12] Yang Y P O,Shieh H M,Tzeng G H.A VIKOR technique based on DEMATEL and ANP for information security risk control assessment[J].Information Sciences,2013,232(5):482-500.
[13] Tsai W,Chou W.Selecting management systems for sustainable development in SMEs:A novel hybrid model based on DEMATEL,ANP,and ZOGP[J].Expert Systems with Applications,2009,36(2):1444-1458.
[14] 孙永河,韩玮,段万春.复杂系统DEMATEL算法研究进展评述[J].控制与决策,2017,32(3):385-392.
[15] Jeng J F,Tzeng G H.Social influence on the use of Clinical Decision Support Systems:Revisiting the Unified Theory of Acceptance and Use of Technology by the fuzzy DEMATEL technique[J].Computers & Industrial Engineering,2012,62(3):819-828.
[16] Govindan K,Khodaverdi R,Vafadarnikjoo A.Intuitionistic fuzzy based DEMATEL method for developing green practices and performances in a green supply chain[J].Expert Systems with Applications,2015,42(20):7207-7220.
[17] Wu WW.Segmenting critical factors for successful knowledge management implementation using the fuzzy DEMATEL method[J].Applied Soft Computing Journal,2012,12(1):527-535.
[18] 谢晖,段万春,孙永河.基于直觉模糊偏好信息的群组DEMATEL决策方法,2014年1月21日[J].计算机工程与应用,2014,50(11):33-38.
[19] Herrera F,Herrera-Viedma E,Martínez L.A fusion approach for managing multi-granularity linguistic term sets in decision making[J].Fuzzy Sets & Systems,2000,114(1):43-58.
[20] Terng C L,Wang E.Curved Flats,Exterior Differential Systems,and Conservation Laws[M]// Complex,Contact and Symmetric Manifolds.Birkh?user Boston,2005:235-254.
[21] Fontela E,Gabus A.DEMATEL:Progress achieved[J].Futures,1974,6(4):361-363.
[22] Lourenzutti R,Krohling R A ,Reformat M Z .Choquet based TOPSIS and TODIM for dynamic and heterogeneous decision making with criteria interaction[J].Information Sciences,2017:S0020025517306941.
[23] 万树平,董九英.多属性群决策的直觉梯形模糊数法[J].控制与决策,2010(5):773-776.
[24] 王瑛,赵谦,李石良.模糊多属性决策投影法在科技奖励评价中的应用[J].科学学与科学技术管理,2010,31(12):18-22.
[25] Wu J,Liu Y.An approach for multiple attribute group decision making problems with interval-valuedintuitionistic trapezoidal fuzzy numbers[J].Computers & Industrial Engineering,2013,66(2):311-324.
[26] 刘培德,金芳.区间直觉不确定语言集成算子及在群决策中的应用研究[J].管理工程学报,2014,28(1):124-130.
[27] Büyük?zkan G,?if?i G.A novel hybrid MCDM approach based on fuzzy DEMATEL,fuzzy ANP and fuzzy TOPSIS to evaluate green suppliers[J].Expert Systems with Applications,2012,39(3):3000-3011.
[28] Ko D G,Kirsch L J,King W R.Antecedents of Knowledge Transfer from Consultants to Clients in Enterprise System Implementations[J].Mis Quarterly,2005,29(1):59-85.
[29] 李靖华,常晓然.基于元分析的知识转移影响因素研究[J].科学学研究,2013,31(3):394-406.Hansen M T.The Search-Transfer Problem:The Role of Weak Ties in Sharing Knowledge across Organization Subunits[J].Administrative Science Quarterly,1999,44(1):82-111.