Purpose-The purpose of this paper is to develop a probabilistic uncertain linguistic(PUL)TODIM method based on the generalized Choquet integral,with respect to the interdependencies between criteria,for the selection ...Purpose-The purpose of this paper is to develop a probabilistic uncertain linguistic(PUL)TODIM method based on the generalized Choquet integral,with respect to the interdependencies between criteria,for the selection of the best alternate in the context of multiple criteria group decision-making(MCGDM).Design/methodology/approach-Owing to decision makers(DMs)do not always show completely rational and may have the preference of bounded rational behavior,this may affect the result of the MCGDM.At the same time,criteria interaction is a focused issue in MCGDM.Hence,a novel TODIM method based on the generalized Choquet integral selects the best alternate using PUL evaluation,where the generalized Choquet integral is used to calculate the weight of criterion.The generalized PUL distance measure between two probabilistic uncertain linguistic elements(PULEs)is calculated and the perceived dominance degree matrices for each alternate relative to other alternates are obtained.Furthermore,the comprehensive perceived dominance degree of each alternate can be calculated to get the ranking.Findings-Potential application of the PUL-TODIM method is demonstrated through an evaluation example with sensitivity and comparative analysis.Originality/value-As per author’s concern,there are no TODIM methods with probabilistic uncertain linguistic sets(PULTSs)to solve MCGDM problems under uncertainty.Compared with the result of existing methods,the final judgment value of alternates using the extended TODIM methodology is highly corroborated,which proves its potential in solving MCGDM problems under qualitative and quantitative environments.展开更多
针对直觉模糊偏好信息下的双边匹配问题,考虑匹配主体参照依赖和损失规避的心理行为,提出一种基于TODIM(TOmada de decis?o interativa multicritério)的双边公平满意匹配方法.首先,对直觉模糊偏好信息下的双边匹配问题进行描述;然...针对直觉模糊偏好信息下的双边匹配问题,考虑匹配主体参照依赖和损失规避的心理行为,提出一种基于TODIM(TOmada de decis?o interativa multicritério)的双边公平满意匹配方法.首先,对直觉模糊偏好信息下的双边匹配问题进行描述;然后,依据前景理论将双边主体的直觉模糊偏好信息转化为相对于参照点的收益或损失,在此基础上,依据TODIM法计算每个主体的总体优势度,构建满意度计算规则,建立双边公平满意匹配优化模型,求解模型并获得双边匹配解;最后,通过一个算例验证所提出方法的可行性和有效性.展开更多
The mining method optimization in subsea deep gold mines was studied. First, an index system for subsea mining method selection was established based on technical feasibility, security status, economic benefit, and ma...The mining method optimization in subsea deep gold mines was studied. First, an index system for subsea mining method selection was established based on technical feasibility, security status, economic benefit, and management complexity. Next, an evaluation matrix containing crisp numbers and triangular fuzzy numbers(TFNs) was constructed to describe quantitative and qualitative information simultaneously. Then, a hybrid model combining fuzzy theory and the Tomada de Decis?o Interativa Multicritério(TODIM) method was proposed. Finally, the feasibility of the proposed approach was validated by an illustrative example of selecting the optimal mining method in the Sanshandao Gold Mine(China). The robustness of this approach was demonstrated through a sensitivity analysis. The results show that the proposed hybrid TODIM method is reliable and stable for choosing the optimal mining method in subsea deep gold mines and provides references for mining method optimization in other similar undersea mines.展开更多
基金This work was supported in part by the National Natural Science Foundation of China(no.11371130)the Soft Science Research Program of Fujian Province(no.B19085)+2 种基金the projects of the Education Department of Fujian Province(no.JT180263)the open fund of Key Laboratory of Applied Mathematics of Fujian Province University(Putian University)(no.SX201906)Digital Fujian big data modeling and intelligent computing institute,Pre-Research Fund of Jimei University.
文摘Purpose-The purpose of this paper is to develop a probabilistic uncertain linguistic(PUL)TODIM method based on the generalized Choquet integral,with respect to the interdependencies between criteria,for the selection of the best alternate in the context of multiple criteria group decision-making(MCGDM).Design/methodology/approach-Owing to decision makers(DMs)do not always show completely rational and may have the preference of bounded rational behavior,this may affect the result of the MCGDM.At the same time,criteria interaction is a focused issue in MCGDM.Hence,a novel TODIM method based on the generalized Choquet integral selects the best alternate using PUL evaluation,where the generalized Choquet integral is used to calculate the weight of criterion.The generalized PUL distance measure between two probabilistic uncertain linguistic elements(PULEs)is calculated and the perceived dominance degree matrices for each alternate relative to other alternates are obtained.Furthermore,the comprehensive perceived dominance degree of each alternate can be calculated to get the ranking.Findings-Potential application of the PUL-TODIM method is demonstrated through an evaluation example with sensitivity and comparative analysis.Originality/value-As per author’s concern,there are no TODIM methods with probabilistic uncertain linguistic sets(PULTSs)to solve MCGDM problems under uncertainty.Compared with the result of existing methods,the final judgment value of alternates using the extended TODIM methodology is highly corroborated,which proves its potential in solving MCGDM problems under qualitative and quantitative environments.
文摘针对直觉模糊偏好信息下的双边匹配问题,考虑匹配主体参照依赖和损失规避的心理行为,提出一种基于TODIM(TOmada de decis?o interativa multicritério)的双边公平满意匹配方法.首先,对直觉模糊偏好信息下的双边匹配问题进行描述;然后,依据前景理论将双边主体的直觉模糊偏好信息转化为相对于参照点的收益或损失,在此基础上,依据TODIM法计算每个主体的总体优势度,构建满意度计算规则,建立双边公平满意匹配优化模型,求解模型并获得双边匹配解;最后,通过一个算例验证所提出方法的可行性和有效性.
基金Project(2018dcyj052) supported by Survey Research Funds of Central South University,ChinaProject(51774321) supported by the National Natural Science Foundation of ChinaProject(2018YFC0604606) supported by the National Key Research and Development Program of China
文摘The mining method optimization in subsea deep gold mines was studied. First, an index system for subsea mining method selection was established based on technical feasibility, security status, economic benefit, and management complexity. Next, an evaluation matrix containing crisp numbers and triangular fuzzy numbers(TFNs) was constructed to describe quantitative and qualitative information simultaneously. Then, a hybrid model combining fuzzy theory and the Tomada de Decis?o Interativa Multicritério(TODIM) method was proposed. Finally, the feasibility of the proposed approach was validated by an illustrative example of selecting the optimal mining method in the Sanshandao Gold Mine(China). The robustness of this approach was demonstrated through a sensitivity analysis. The results show that the proposed hybrid TODIM method is reliable and stable for choosing the optimal mining method in subsea deep gold mines and provides references for mining method optimization in other similar undersea mines.