Approach of Fuzzy Multi-objective Decision-Making Based on Lattice-Order Preference
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摘要: 运用格论,将方案优选的全序刻画拓展为格序刻画.基于决策理论和模糊集理论,提出了模糊多目标格序决策的概念,建立了模糊多目标格序决策模型.基于正、负理想解的概念,提出了该模型的2种算法.算法1是先对模糊指标值进行加权,然后确定模糊正、负理想解,通过比较每个方案与两者之间的差异选择满意解.算法2是直接在原模糊指标值的基础上确定模糊正、负理想解,并引入满意度的概念刻画每个方案与两者之间的差异,最后通过加权得到满意解.算法1较简单,算法2则能始终保持模糊元素的线性性质.算例表明,2种算法结果一致.Abstract: By using the lattice theory,the totally ordering description of scheme optimization was extended to the lattice ordering one.Based on the decision-making theory and the fuzzy set theory,the concept of fuzzy multi-objective lattice-order decision-making was put forward.By introducing the concepts of fuzzy positive and negative ideal solutions,a model for fuzzy multi-objective lattice-order decision-making was constructed,and two algorithms,algorithms 1and 2,for this model were proposed.With the algorithm 1,fuzzy indexes are weighted,then fuzzy positive and negative ideal solutions are determined,and finally a satisfying solution can be obtained by comparing the difference between each scheme and the two ideal solutions.With the algorithm 2,fuzzy positive and negative ideal solutions are determined directly based on fuzzy indexes,then the difference between each scheme and the two ideal solutions is described by introducing the concept of satisfactory degree,finally a satisfying solution can be obtained through weighting.A numerical example shows the consistency of satisfying solutions obtained using the two algorithms.
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von NEUMANN J,MORGENSTERN O.Theory of games and economic behavior[M].Princeton:Princeton University Press,1953:1-45.[2] 黄天民,徐扬,赵海良,等.格序引论及其应用[M].成都:西南交通大学出版社,1998:36-54.[3] 胡长流,宋振明.格论基础[M].开封:河南大学出版社,1990:64-124.[4] 郭春香,郭耀煌.不完整格的格序化[J].西南交通大学学报,2005,40(2):269-272.GUO Chunxiang,GUO Yaohuang.Lattice ordering of incomplete lattice[J].Journal of Southwest Jiaotong University[J].2005,40 (2):269-272.[5] 郭耀煌,刘家诚,刘常青,等.格序决策[M].上海:上海科技出版社,2003.58-63.[6] TAKEDA E,NISHIDA T.Multiple criteria decision problems with fuzzy domination structures[J] ,Fuzzy Sets and Systems.1980,3 (2):123-136.[7] BUCKLEY J J.The multiple judge,multiple criteria ranking problem:a fuzzy set approach[J].Fuzzy Sets and Systems,1984,13:25-38.[8] JAIN R,A procedure for multiple aspects decision making using fuzzy sets[J].Int.J.Systems Scie.1977,8:1-7.[9] MARCHALLECK N,KANDEL A.Fuzzy logic applications in transportation systems[J].International Journal on Artificial Intelligence Tools,1995,4 (3):413-432.[10] DENG H.YEH C H.Fuzzy ranking of discrete multicriteria alternatives[A].In Proceedings of the IEEE Second International Conference on Intelligent Processing Systems (ICIPS'98).Gold Coast,Australia:344-348.[11] 王绪柱,单静.模糊量排序综述[J].模糊系统与数学,2002,12(4):28-33.WANG Xuzhu,SHAN Jing.An overview of ranking fuzzy quantities[J].Fuzzy Systems and Mathematics.2002,12 (4):28 -33.[12] 李荣钧模糊多准则决策理论与应用[M].北京:科学出版社,2002:155-198.[13] MacCrimmon K R,WEBRUNG D A.Taking risk; the management of uncertainty[M].The Free Pree,Londong,UK,1986.[14] 郝光.模糊多目标格序决策及对称矩阵对策[D].硕士学位论文.成都:西南交通大学,2004.HAO Guang.Fuzzy multiobjective lattice-order decision making and symmetric matrix game[D].Master Dissertation.Chengdu:Southwest Jiaotong University,2004. -
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