Multiple Criteria Decision-Making Based on Similarity Degree Between Partial Orders
-
摘要: 针对决策者只能提供决策方案的序数偏好信息的多准则决策问题,提出了基于偏序之间相似度的多准则决策方法.该方法运用模糊相似关系确定相似度,通过计算控制指标和被控指标,分别得出方案集的两个预序排列,然后将这两个全预序排列合并成方案集的最后排列.该排列具有更符合现实决策行为的偏序结构.举例说明了该方法的可行性.Abstract: A method of multiple criteria decision-making based on similarity degree between partial orders was proposed to solve the problem,in which decision makers provide only with ordinal information about the alternative shemes.The similarity degree is defined by utilizing fuzzy similarity relation.The two complete preorders of the alternatives are worked outt by calculating the dominated index and the dominating index of each alternative,respectively.The two complete preorders are then combined into a final partial order of the alternatives.Feasibility and effectiveness of the proposed approach were illustrated with a numerical example.
-
Guitouni A,Martel J M.Tentative guidelines to help choosing an appropriate MACD method[J].European Journal of Operational Research,1998(54):191-198.[2] Xu X Z,Jean-Marc M,Lamond B F.A multiple criteria ranking procedure based on distance between partial preerders[J].European Journal of Operational Research,2001 (133):69-80.[3] Hawng C L,Yoon K.Multiple attribute decision making[M].Springer-Verlag,Berlin,Heidelberg New York,1981.1-107.[4] Cook W D,Kress M.A Multiple criteria decision model with ordinal preference data[J].European Journal of Operational Research,1991(54):191-198.[5] 徐克龙.基于ELECTRE法的风险决策方法[J].重庆工商大学学报(自然科学版),2004,21(1):7-10.Xu K L.Risk decision-making method based on ELECTRE[J].Journal of Yuzhou University (Natural Sciences Edition),2004,21(1):7-10.[6] 彭怡,胡扬,郭耀煌.基于群体理想解的多属性群决策算法[J].西南交通大学学报,2003,38(6):682-685.Peng Y,Hu Y,Guo Y H.Multi-attribute group decision-making algorithm based on group's ideal solution[J].Journal of Southwest Jiaotong University,2003,38 (6):682-685.[7] Roy B.The outranking approach and the foundations of ELECTRE methods[J].Theory and Decision,1991 (31):49-73.[8] 郭耀煌.格序决策[M].上海:上海科技出版社,2003.1-150.[9] 郭春香,郭耀煌.格序决策的格序化研究[J].系统工程理论与方法应用,2004(5):463-466.Guo C X,Guo Y H.The study of lattice ordering under lattice order decision making theory[J].Systems Engineering-Theory Methodology Application,2004(5):463-466.[10] 郭春香,郭耀煌.基于偏序偏好的多属性群决策问题的综合权重[J].系统工程与电子技术,2005,27(12):1 243-1 246.Guo C X,Guo Y H.Synthesis weight for multi-attribute group decision making based on partial order preference [J].Systems Engineering and Electronics,2005,27 (12):1 243-1 246.[11] 郭春香,郭耀煌.具有区间数的多目标格序决策方法研究[J].预测,2004,23(5):71-73.Guo C X,Guo Y H.Approach to multiple attribute lattice order decision making with interval numhers[J].Forecasting,2004,23(5):71-73.[12] Sun Z H,Finnie G,Weber K.Case base building with similarity relations[J].Information Sciences,2004 (165):21-43.[13] Fernāndez Salido J M,Marakam S.Rough set analysis of a general type of fuzzy data using transitive aggregations of fuzzy similarity relations [J].Fuzzy Sets and Systems,2003(139):635-660.[14] Chiclana F,Henera F,Herrera-Viedma E.Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations [J].Fuzzy Sets and Systems,1998(97):33-48.[15] HaV,Haddawy P.Towards case-based preference elicitation:similarity measures on preference structures [A].Proceedings of the Fourteenth Conference on Uncertainty in Artificial Intelligence[C].1998.193-201.[16] Plaza E,Esteva F,Garcia P,et al.A logical approach to case-based reasoning using fuzzy similarity relations[J].Information Sciences,1998(106):105-122.[17] Bělohlávek R.Similarity relations and BK-relational products[J].Information Sciences,2000 (126):287-295.[18] Beliakov G.Definition of general aggregation operators through similarity relations [J].Fuzzy Sets and Systems,2000(114):437-453.
点击查看大图
计量
- 文章访问数: 1264
- HTML全文浏览量: 60
- PDF下载量: 386
- 被引次数: 0