考虑可信度的犹豫模糊多属性决策方法研究
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摘要
为深入研究犹豫环境下多属性决策问题,提高决策的科学性和准确性,本文在已有研究成果的基础上,充分考虑犹豫模糊集中隶属度函数的差异性对决策结果的影响。论文引入了专家可信度的思想对犹豫模糊信息进行集成,将一组数值转化为一个数值,进而实现犹豫模糊信息的对比研究,以此构建了一种考虑可信度的犹豫模糊多属性决策方法。最后,论文以汽车零部件供应商选择问题为例,验证了该方法的有效性。
In order to further study the multi-attribute decision making problem in the hesitant fuzzy environment and improve the scientificity and accuracy of decision-making,this paper fully considers the influence of the difference of membership function on the decision results based on the existing research results. Using the idea of expert credibility,the comparative study of the hesitating fuzzy information is realized by converting a set of values into a single value,and a hesitant fuzzy multi-attribute decision making method considering reliability is proposed. Finally,this paper takes the selection of auto parts suppliers as an example to demonstrate the availability of this method.
In order to further study the multi-attribute decision making problem in the hesitant fuzzy environment and improve the scientificity and accuracy of decision-making,this paper fully considers the influence of the difference of membership function on the decision results based on the existing research results. Using the idea of expert credibility,the comparative study of the hesitating fuzzy information is realized by converting a set of values into a single value,and a hesitant fuzzy multi-attribute decision making method considering reliability is proposed. Finally,this paper takes the selection of auto parts suppliers as an example to demonstrate the availability of this method.
引文
[1] Torra V,Narukawa Y. On Hesitant Fuzzy Sets and Decision[C]. The 18th IEEE Int Conference on Fuzzy Systems,Jeju Island,2009. 1378-1382.
[2] Torra V. Hesitant fuzzy sets[J]. International Journal of Intelligent Systems,2010,25(6):529-539.
[3] Chiclana F,Herrera F,Herrera-viedma E. The ordered weighted geometric operator:properties and application[C]. In:Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems,Madrid,Spain,2000.985-991.
[4] Yager R R. Generalized OWA aggregation operators[J].Fuzzy Optimization and Decision Making,2004,3(1):93-107.
[5] Fodor J,Marichal J L,Roubens M. Characterization of the ordered weighted averaging operators[J]. IEEE Trans. Fuzzy Systems,1995,3(2):236-240.
[6] Merigo J M,Gil-Lafuente A M. The induced generalized OWA operator[J]. Information Sciences,2009,179(6):729-741.
[7] Yager R R,Xu Z S. The continuous ordered weighted geometric operator and Its application to decision making[J]. Fuzzy Sets and Systems, 2006, 157(10):1393-1402.
[8] Xu Z S,Xia M M. Distance and similarity measures for hesitant fuzzy sets[J]. Information Sciences,2011,181(11):2128-2138.
[9] Xia M M,Xu Z S. Hesitant fuzzy information aggregation in decision making[J]. International Journal of Approximate Reasoning,2011,52(3):395-407.
[10] Xu Z S,Xia M. M. On distance and correlation measures of hesitant fuzzy information[J]. International Journal of Intelligent System,2011,26(5):410-425.
[11] Xu Z S,Xia M M,Chen N. Some hesitant fuzzy aggregation operators with their application in group decision making[J]. Group Decision and Negotiation,2013,22(2):259-279.
[12] Rodriguez R M,Martinez L,Torra V,et al. Hesitant fuzzy sets:state of the art and future directions[J].International Journal of Intelligent Systems,2014,29(6):495-524.
[13]夏梅梅.模糊决策信息集成方式及测度研究[D].东南大学,2012.
[14]徐泽水.不确定多属性决策方法及应用[M].北京:清华大学出版社,2004.
[15]崔春生.基于软集理论的技术创新方案评价方法研究[J].系统科学与数学,2017,37(04):1092-1099.
[16]廖虎昌,缑迅杰,徐泽水.基于犹豫模糊语言集的决策理论与方法综述[J].系统工程理论与实践,2017,37(1):35-48.
[17]刘小弟,朱建军,张世涛,等.基于后悔理论与群体满意度的犹豫模糊随机多属性决策方法[J].中国管理科学,2017(10):171-178.
[18]刘小弟,朱建军,张世涛.考虑可信度和方案偏好的犹豫模糊决策方法[J].系统工程与电子技术,2014,36(7):1368-1373.
[19]崔春生.基于Vague集理论的推荐系统中用户兴趣度的描述[J].系统工程理论与实践,2017,37(3):752-760.
[20]肖会敏,朱向琳.农业现代化视阈下基于SPSS多元回归分析的全国农业总产值主要影响因素探究[J].数学的实践与认识,2017,47(15):313-320.
[21]吴坚,曹清玮.不确定决策环境下绿色供应商选择方法研究[J].运筹与管理,2012,21(1):220-225.
[22]王新鑫,杨雁,徐泽水,等.基于专家对应准则的犹豫模糊多属性群决策方法[J].模糊系统与数学,2017(1):101-108.
[2] Torra V. Hesitant fuzzy sets[J]. International Journal of Intelligent Systems,2010,25(6):529-539.
[3] Chiclana F,Herrera F,Herrera-viedma E. The ordered weighted geometric operator:properties and application[C]. In:Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems,Madrid,Spain,2000.985-991.
[4] Yager R R. Generalized OWA aggregation operators[J].Fuzzy Optimization and Decision Making,2004,3(1):93-107.
[5] Fodor J,Marichal J L,Roubens M. Characterization of the ordered weighted averaging operators[J]. IEEE Trans. Fuzzy Systems,1995,3(2):236-240.
[6] Merigo J M,Gil-Lafuente A M. The induced generalized OWA operator[J]. Information Sciences,2009,179(6):729-741.
[7] Yager R R,Xu Z S. The continuous ordered weighted geometric operator and Its application to decision making[J]. Fuzzy Sets and Systems, 2006, 157(10):1393-1402.
[8] Xu Z S,Xia M M. Distance and similarity measures for hesitant fuzzy sets[J]. Information Sciences,2011,181(11):2128-2138.
[9] Xia M M,Xu Z S. Hesitant fuzzy information aggregation in decision making[J]. International Journal of Approximate Reasoning,2011,52(3):395-407.
[10] Xu Z S,Xia M. M. On distance and correlation measures of hesitant fuzzy information[J]. International Journal of Intelligent System,2011,26(5):410-425.
[11] Xu Z S,Xia M M,Chen N. Some hesitant fuzzy aggregation operators with their application in group decision making[J]. Group Decision and Negotiation,2013,22(2):259-279.
[12] Rodriguez R M,Martinez L,Torra V,et al. Hesitant fuzzy sets:state of the art and future directions[J].International Journal of Intelligent Systems,2014,29(6):495-524.
[13]夏梅梅.模糊决策信息集成方式及测度研究[D].东南大学,2012.
[14]徐泽水.不确定多属性决策方法及应用[M].北京:清华大学出版社,2004.
[15]崔春生.基于软集理论的技术创新方案评价方法研究[J].系统科学与数学,2017,37(04):1092-1099.
[16]廖虎昌,缑迅杰,徐泽水.基于犹豫模糊语言集的决策理论与方法综述[J].系统工程理论与实践,2017,37(1):35-48.
[17]刘小弟,朱建军,张世涛,等.基于后悔理论与群体满意度的犹豫模糊随机多属性决策方法[J].中国管理科学,2017(10):171-178.
[18]刘小弟,朱建军,张世涛.考虑可信度和方案偏好的犹豫模糊决策方法[J].系统工程与电子技术,2014,36(7):1368-1373.
[19]崔春生.基于Vague集理论的推荐系统中用户兴趣度的描述[J].系统工程理论与实践,2017,37(3):752-760.
[20]肖会敏,朱向琳.农业现代化视阈下基于SPSS多元回归分析的全国农业总产值主要影响因素探究[J].数学的实践与认识,2017,47(15):313-320.
[21]吴坚,曹清玮.不确定决策环境下绿色供应商选择方法研究[J].运筹与管理,2012,21(1):220-225.
[22]王新鑫,杨雁,徐泽水,等.基于专家对应准则的犹豫模糊多属性群决策方法[J].模糊系统与数学,2017(1):101-108.