基于ELECTRE的犹豫二元语义多属性群决策方法
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摘要
针对属性权重完全未知,属性值为犹豫二元语义信息的多属性群决策问题,提出了一种基于ELECTRE的犹豫二元语义多属性群决策方法。定义了犹豫二元语义元比较的可能度公式,引入了犹豫二元语义元的距离测度。利用犹豫二元语义可能度公式确定和谐集、不和谐集与无差异集,分别根据可能度和距离测度确定和谐指数及不和谐指数,并构建相应的矩阵,通过和谐矩阵与不和谐矩阵余矩阵的Hadamard乘积确定综合优势矩阵,进而确定净优势值并实现方案间的排序。最后通过算例说明所提方法的可行性和有效性。
A hesitant 2-tuple linguistic multi-attribute group decision-making method based on ELECTRE method is proposed to solve the multi-attribute decision-making problems in which the attribute weight is completely unknown, with the attribute value being of hesitant 2-tuple linguistic information. The possibility degree formula for comparing two hesitant 2-tuple linguistic elements is defined, with the distance measure introduced. The hesitant 2-tuple linguistic concordance set, discordance set, and the indifference set are determined by the possibility degree formula in the method. The hesitant 2-tuple linguistic concordance and discordance indices are respectively determined based on the possibility degree and the distance measure, with their corresponding matrices constructed. The comprehensive dominance matrix is determined via the Hadamard product between the concordance matrix and the complementary matrix of the discordance matrix, the net dominant value is determined, and the alternatives are ranked. Finally, an example is given to demonstrate the feasibility and effectiveness by using the proposed method.
A hesitant 2-tuple linguistic multi-attribute group decision-making method based on ELECTRE method is proposed to solve the multi-attribute decision-making problems in which the attribute weight is completely unknown, with the attribute value being of hesitant 2-tuple linguistic information. The possibility degree formula for comparing two hesitant 2-tuple linguistic elements is defined, with the distance measure introduced. The hesitant 2-tuple linguistic concordance set, discordance set, and the indifference set are determined by the possibility degree formula in the method. The hesitant 2-tuple linguistic concordance and discordance indices are respectively determined based on the possibility degree and the distance measure, with their corresponding matrices constructed. The comprehensive dominance matrix is determined via the Hadamard product between the concordance matrix and the complementary matrix of the discordance matrix, the net dominant value is determined, and the alternatives are ranked. Finally, an example is given to demonstrate the feasibility and effectiveness by using the proposed method.
引文
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[7] 赵岳,邢立宁,姚锋,等.基于ELECTRE的航天测控方案评价方法[J].系统工程理论与实践,2014,34(9):2457-2464.ZHAO Yue,XING Lining,YAO Feng,et al.Space monitoring and control scheme evaluation based on the ELECTRE[J].Systems Engineering—Theory & Practice,2014,34(9):2457-2464.
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[9] WAN Shuping,XU Gaili,DONG Jiuying.Supplier selection using ANP and ELECTRE II in interval 2-tuple linguistic environment[J].Information Sciences,2017,385-386:19-38.
[10] LIAN J W,KE C K.Using a modified ELECTRE method for an agricultural product recommendation service on a mobile device[J].Computers and Electrical Engineering,2016,56:277-288.
[11] CHI Y L,LEE C W,CHEN C Y.A selection approach for optimized web services compositions[J].Electronic Commerce Studies,2004,2(3):297-314.
[12] 王亚萍,王秋萍,熊国强.基于级别高于关系的区间犹豫模糊决策新方法[J].西安理工大学学报,2017,33(1):86-92.WANG Yaping,WANG Qiuping,XIONG Guoqiang.A novel method for decision-making with the interval-valued hesitant fuzzy set based on outranking relation[J].Journal of Xi'an University of Technology,2017,33(1):86-92.
[13] 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.FENG Xiangqian,TAN Qianyun,QIAN Gang.Possibility degree methods for ranking hesitant fuzzy linguistic sets[J].Control and Decision,2016,31(4):640-646.
[14] 冯向前,刘琦,魏翠萍.基于犹豫模糊二元语义的多属性决策方法[J].运筹与管理,2018,27(1):17-22.FENG Xiangqian,LIU Qi,WEI Cuiping.Hesitant fuzzy 2-tuple linguistic multiple attribute decision making method[J].Operations Research and Management Science,2018,27(1):17-22.
[2] 丁勇,梁昌勇,朱俊红,等.群决策中基于二元语义的主客观权重集成方法[J].中国管理科学,2010,18(5):165-170.DING Yong,LIANG Changyong,ZHU Junhong,et al.A subjective and objective weights integrated method based on 2-tuple linguistic for group decision making[J].Chinese Journal of Management Science,2010,18(5):165-170.
[3] BEG I,RASHID T.Hesitant 2-tuple linguistic information in multiple attributes group decision making[J].Journal of Intelligent & Fuzzy Systems,2016,30:109-116.
[4] 岳超源.决策理论与方法[M].北京:科学出版社,2003.
[5] CELIK E,GUMUS A T.An outranking approach based on interval type-2 fuzzy sets to evaluate preparedness and response ability of non-governmental humanitarian relief organizations[J].Computers & Industrial Engineering,2016,101:21-34.
[6] ZHANG Hongyu,PENG Honggang,WANG Jing,et al.An extended outranking approach for multi-criteria decision-making problems with linguistic intuitionistic fuzzy numbers[J].Applied Soft Computing,2017,59:462-474.
[7] 赵岳,邢立宁,姚锋,等.基于ELECTRE的航天测控方案评价方法[J].系统工程理论与实践,2014,34(9):2457-2464.ZHAO Yue,XING Lining,YAO Feng,et al.Space monitoring and control scheme evaluation based on the ELECTRE[J].Systems Engineering—Theory & Practice,2014,34(9):2457-2464.
[8] CHEN Na,XU Zeshui.Hesitant fuzzy ELECTRE II approach:a new way to handle multi-criteria decision making problems[J].Information Sciences,2015,292:175-197.
[9] WAN Shuping,XU Gaili,DONG Jiuying.Supplier selection using ANP and ELECTRE II in interval 2-tuple linguistic environment[J].Information Sciences,2017,385-386:19-38.
[10] LIAN J W,KE C K.Using a modified ELECTRE method for an agricultural product recommendation service on a mobile device[J].Computers and Electrical Engineering,2016,56:277-288.
[11] CHI Y L,LEE C W,CHEN C Y.A selection approach for optimized web services compositions[J].Electronic Commerce Studies,2004,2(3):297-314.
[12] 王亚萍,王秋萍,熊国强.基于级别高于关系的区间犹豫模糊决策新方法[J].西安理工大学学报,2017,33(1):86-92.WANG Yaping,WANG Qiuping,XIONG Guoqiang.A novel method for decision-making with the interval-valued hesitant fuzzy set based on outranking relation[J].Journal of Xi'an University of Technology,2017,33(1):86-92.
[13] 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.FENG Xiangqian,TAN Qianyun,QIAN Gang.Possibility degree methods for ranking hesitant fuzzy linguistic sets[J].Control and Decision,2016,31(4):640-646.
[14] 冯向前,刘琦,魏翠萍.基于犹豫模糊二元语义的多属性决策方法[J].运筹与管理,2018,27(1):17-22.FENG Xiangqian,LIU Qi,WEI Cuiping.Hesitant fuzzy 2-tuple linguistic multiple attribute decision making method[J].Operations Research and Management Science,2018,27(1):17-22.