This paper is concerned with a technique for order performance by similarity to ideal solution（TOPSIS） method for fuzzy multi-attribute decision making,in which the information about attribute weights is partly know...This paper is concerned with a technique for order performance by similarity to ideal solution（TOPSIS） method for fuzzy multi-attribute decision making,in which the information about attribute weights is partly known and the attribute values take form of triangular fuzzy numbers.Considering the fact that the triangular fuzzy TOPSIS results yielded by different distance measures are different from others,a comparative analysis of triangular fuzzy TOPSIS ranking from each distance measure is illustrated with discussion on standard deviation.By applying the most reasonable distance,the deviation degrees between attribute values are measured.A linear programming model based on the maximal deviation of weighted attribute values is established to obtain the attribute weights.Therefore,alternatives are ranked by using TOPSIS method.Finally,a numerical example is given to show the feasibility and effectiveness of the method.展开更多
Multiattribute decision making（MADM） problems, in which the weights and ratings of alternatives are expressed with intuitionistic fuzzy（IF） sets, are investigated.Firstly, the relative degrees of membership and th...Multiattribute decision making（MADM） problems, in which the weights and ratings of alternatives are expressed with intuitionistic fuzzy（IF） sets, are investigated.Firstly, the relative degrees of membership and the relative degrees of non-membership are formulated as IF sets, the weights and values of alternatives on both qualitative and quantitative attributes may be expressed as IF sets in a unified way.Then a MADM method based on generalized ordered weighted averaging operators is proposed.The proposed method is illustrated with a numerical example.展开更多
针对武器装备体系能力需求分析问题,提出基于犹豫模糊环境下的决策实验室分析法(Decision-making Trial and Evaluation Laboratory,DEMATEL)和逼近理想解排序法改进质量功能展开(Quality Function Deployment,QFD)的新方法。利用基于...针对武器装备体系能力需求分析问题,提出基于犹豫模糊环境下的决策实验室分析法(Decision-making Trial and Evaluation Laboratory,DEMATEL)和逼近理想解排序法改进质量功能展开(Quality Function Deployment,QFD)的新方法。利用基于犹豫模糊理论的DEMATEL方法分析装备体系任务需求之间的影响关系,以确定任务需求重要度;根据装备体系任务需求重要度,建立基于犹豫模糊TOPSIS的装备能力需求优选模型,并通过改进的加权汉明距离计算装备能力需求的相对重要性,以智能城市作战装备体系为例,对比传统方法验证了改进QFD方法的有效性。研究结果表明,改进方法较好地解决了传统QFD在处理犹豫模糊信息时的缺陷,可为装备体系能力需求分析提供新的工具支持。展开更多
Selection of the crusher required a great deal of design regarding to the mine planning. Selection of suitable primary crusher from all of available primary crushers is a multi-criterion decision making(MCDM) problem....Selection of the crusher required a great deal of design regarding to the mine planning. Selection of suitable primary crusher from all of available primary crushers is a multi-criterion decision making(MCDM) problem. The present work explores the use of technique for order performance by similarity to ideal solution(TOPSIS) with fuzzy set theory to select best primary crusher for Golegohar Iron Mine in Iran. Gyratory, double toggle jaw, single toggle jaw, high speed roll crusher, low speed sizer, impact crusher, hammer mill and feeder breaker crushers have been considered as alternatives. Also, the capacity, feed size, product size, rock compressive strength, abrasion index and application of primary crusher for mobile plants were considered as criteria for solution of this MCDM problem. To determine the order of the alternatives, closeness coefficient is defined by calculating the distances to the fuzzy positive ideal solution(FPIS) and fuzzy negative ideal solution(FNIS). Results of our work based on fuzzy TOPSIS method show that the gyratory is the best primary crusher for the studied mine.展开更多
为准确有效地确定导弹发射阵地选址位置,克服目前阵地选址过程中主观因素较强和难以判断选址方案优劣的弊端,提出基于地理信息系统(geographic information system,GIS)与改进优劣解距离法(technique for order preference by similarit...为准确有效地确定导弹发射阵地选址位置,克服目前阵地选址过程中主观因素较强和难以判断选址方案优劣的弊端,提出基于地理信息系统(geographic information system,GIS)与改进优劣解距离法(technique for order preference by similarity to an ideal solution,TOPSIS)的两阶段阵地选址方法。初选阶段,构建影响发射阵地选址的指标体系,利用改进层次分析法得到各指标综合权重,针对定量指标,采用GIS技术建立多环缓冲区进行空间分析,得到发射阵地选址备选方案;精选阶段,结合备选方案各指标得分,针对定性指标,利用灰色关联改进的TOPSIS进行综合评价,得到导弹发射阵地最优选址方案。实例验证表明:该方法具有较好的可操作性和适用性,主观因素影响较小,能够为导弹发射阵地选址提供决策依据。展开更多
针对权重已知且属性值为精确实数型、区间型和模糊型的混合型多属性决策问题,提出了一种基于模糊偏序关系的混合型多属性决策方法。该方法利用混合型评估值模型来描述多属性决策问题;在对属性值预处理后,通过构建混合型模糊偏序关系模型...针对权重已知且属性值为精确实数型、区间型和模糊型的混合型多属性决策问题,提出了一种基于模糊偏序关系的混合型多属性决策方法。该方法利用混合型评估值模型来描述多属性决策问题;在对属性值预处理后,通过构建混合型模糊偏序关系模型,将决策问题转化为评估关系模型;然后对偏序关系进行集结,得到全序关系,从而获取所有方案的优劣排序。算例验证了方法的有效性。计算过程表明,该方法计算简单,且避免了逼近理想解的排序方法(technique for order preference by similarity to ideal solution,TOPSIS)难以合理定义距离函数的局限性。展开更多
基金supported by the National Natural Science Foundation of China (70473037)the Key Project of National Development and Reform Commission (1009-213011)
文摘This paper is concerned with a technique for order performance by similarity to ideal solution（TOPSIS） method for fuzzy multi-attribute decision making,in which the information about attribute weights is partly known and the attribute values take form of triangular fuzzy numbers.Considering the fact that the triangular fuzzy TOPSIS results yielded by different distance measures are different from others,a comparative analysis of triangular fuzzy TOPSIS ranking from each distance measure is illustrated with discussion on standard deviation.By applying the most reasonable distance,the deviation degrees between attribute values are measured.A linear programming model based on the maximal deviation of weighted attribute values is established to obtain the attribute weights.Therefore,alternatives are ranked by using TOPSIS method.Finally,a numerical example is given to show the feasibility and effectiveness of the method.
基金supported by the National Natural Science Foundation of China (70871117 70571086)
文摘Multiattribute decision making（MADM） problems, in which the weights and ratings of alternatives are expressed with intuitionistic fuzzy（IF） sets, are investigated.Firstly, the relative degrees of membership and the relative degrees of non-membership are formulated as IF sets, the weights and values of alternatives on both qualitative and quantitative attributes may be expressed as IF sets in a unified way.Then a MADM method based on generalized ordered weighted averaging operators is proposed.The proposed method is illustrated with a numerical example.
文摘针对武器装备体系能力需求分析问题,提出基于犹豫模糊环境下的决策实验室分析法(Decision-making Trial and Evaluation Laboratory,DEMATEL)和逼近理想解排序法改进质量功能展开(Quality Function Deployment,QFD)的新方法。利用基于犹豫模糊理论的DEMATEL方法分析装备体系任务需求之间的影响关系,以确定任务需求重要度;根据装备体系任务需求重要度,建立基于犹豫模糊TOPSIS的装备能力需求优选模型,并通过改进的加权汉明距离计算装备能力需求的相对重要性,以智能城市作战装备体系为例,对比传统方法验证了改进QFD方法的有效性。研究结果表明,改进方法较好地解决了传统QFD在处理犹豫模糊信息时的缺陷,可为装备体系能力需求分析提供新的工具支持。
文摘Selection of the crusher required a great deal of design regarding to the mine planning. Selection of suitable primary crusher from all of available primary crushers is a multi-criterion decision making(MCDM) problem. The present work explores the use of technique for order performance by similarity to ideal solution(TOPSIS) with fuzzy set theory to select best primary crusher for Golegohar Iron Mine in Iran. Gyratory, double toggle jaw, single toggle jaw, high speed roll crusher, low speed sizer, impact crusher, hammer mill and feeder breaker crushers have been considered as alternatives. Also, the capacity, feed size, product size, rock compressive strength, abrasion index and application of primary crusher for mobile plants were considered as criteria for solution of this MCDM problem. To determine the order of the alternatives, closeness coefficient is defined by calculating the distances to the fuzzy positive ideal solution(FPIS) and fuzzy negative ideal solution(FNIS). Results of our work based on fuzzy TOPSIS method show that the gyratory is the best primary crusher for the studied mine.
文摘为准确有效地确定导弹发射阵地选址位置,克服目前阵地选址过程中主观因素较强和难以判断选址方案优劣的弊端,提出基于地理信息系统(geographic information system,GIS)与改进优劣解距离法(technique for order preference by similarity to an ideal solution,TOPSIS)的两阶段阵地选址方法。初选阶段,构建影响发射阵地选址的指标体系,利用改进层次分析法得到各指标综合权重,针对定量指标,采用GIS技术建立多环缓冲区进行空间分析,得到发射阵地选址备选方案;精选阶段,结合备选方案各指标得分,针对定性指标,利用灰色关联改进的TOPSIS进行综合评价,得到导弹发射阵地最优选址方案。实例验证表明:该方法具有较好的可操作性和适用性,主观因素影响较小,能够为导弹发射阵地选址提供决策依据。
文摘针对权重已知且属性值为精确实数型、区间型和模糊型的混合型多属性决策问题,提出了一种基于模糊偏序关系的混合型多属性决策方法。该方法利用混合型评估值模型来描述多属性决策问题;在对属性值预处理后,通过构建混合型模糊偏序关系模型,将决策问题转化为评估关系模型;然后对偏序关系进行集结,得到全序关系,从而获取所有方案的优劣排序。算例验证了方法的有效性。计算过程表明,该方法计算简单,且避免了逼近理想解的排序方法(technique for order preference by similarity to ideal solution,TOPSIS)难以合理定义距离函数的局限性。
