Considering the decision maker's risk psychological factors and information ambiguity under uncertainty, a novel TOPSIS based on prospect theory (PT) and trapezoidal intuitionistic fuzzy numbers (YrIFNs) for grou...Considering the decision maker's risk psychological factors and information ambiguity under uncertainty, a novel TOPSIS based on prospect theory (PT) and trapezoidal intuitionistic fuzzy numbers (YrIFNs) for group decision making is investigated, in which the criteria values and the criteria weights take the form of TrIFNs, and weights of decision makers are unknown. Firstly, distance measures for TrIFNs are used to induce value function under trapezoidal intuitionistic fuzzy environment. Secondly, the concepts of distance measures and trapezoidal intuitionistie fuzzy weighted averaging operator are employed to induce the weights of decision makers and thus the decision makers' options can be aggregated. Then the PT-based separation measures and relative closeness coefficient are defined and an algorithm for ranking alternatives under trapezoidal intuitionistic fuzzy environment is proposed. Finally, a numerical example further illustrates the practicality and effectiveness of the proposed TOPSIS method.展开更多
In the decision-making process,the decision information provided by decision makers over alter-natives may take the form of intuitionistic fuzzy numbers and come from different periods.The weight of information on dec...In the decision-making process,the decision information provided by decision makers over alter-natives may take the form of intuitionistic fuzzy numbers and come from different periods.The weight of information on decision makers,criteria,periods is usually completely unknown.To this issue,we first utilise hesitation degree information and introduce the concept of confi-dence degree function to determine the decision maker’s weights.Then we aggregate individual evaluation information into group evaluation information through intuitionistic fuzzy number weighted arithmetic averaging operator.We construct a nonlinear optimisation model to gain the criterion weights and apply the aggregate operator to gain the integrated rating value of alternatives in different periods,calculating the deviations of the integrated rating values with respect to their average.Then the period weights are been obtained by using the entropy method.According to the closeness coefficient between alternatives and ideal solution to sort the alternatives and select the optimal one.展开更多
The problem of measuring conflict in large-group decision making is examined with every decision preference expressed by multiple interval intuitionistic trapezoidal fuzzy numbers (IITFNs). First, a distance measure...The problem of measuring conflict in large-group decision making is examined with every decision preference expressed by multiple interval intuitionistic trapezoidal fuzzy numbers (IITFNs). First, a distance measurement between two IITFNs is given and a function of conflict between two members of the large group is proposed. Second, members of the large group are clustered. A measurement model of group conflict, which is applied to aggregating large-group preferences, is then proposed by employing the conflict measure of clusters. Finally, a simulation example is presented to validate the models. These models can deal with the preference analysis and coordination of a large-group decision, and are thus applicable to emergency group decision making.展开更多
An extended compromise ratio method(CRM) based on fuzzy distances is developed to solve fuzzy multi-attribute group decision making problems in which weights of attributes and ratings of alternatives on attributes a...An extended compromise ratio method(CRM) based on fuzzy distances is developed to solve fuzzy multi-attribute group decision making problems in which weights of attributes and ratings of alternatives on attributes are expressed with values of linguistic variables parameterized using triangular fuzzy numbers.A compromise solution is determined by introducing the ranking index based on the concept that the chosen alternative should be as close as possible to the positive ideal solution and as far away from the negative ideal solution as possible simultaneously.This proposed method is compared with other existing methods to show its feasibility and effectiveness and illustrated with an example of the military route selection problem as one of the possible applications.展开更多
针对装备征用动员中器材需求不确定性大、响应时效性和质量要求高等特点,构建基于军事供应链的装备器材供应商选优评价准则体系,为解决不同准则带来的多种异质评价信息及准则权重、决策者权重均未知的多准则群决策问题,提出了一种基于...针对装备征用动员中器材需求不确定性大、响应时效性和质量要求高等特点,构建基于军事供应链的装备器材供应商选优评价准则体系,为解决不同准则带来的多种异质评价信息及准则权重、决策者权重均未知的多准则群决策问题,提出了一种基于直觉模糊熵和扩展多准则妥协解(VlseKriterijumska Optimizacija I Kompromisno Resenje,VIKOR)框架的决策方法。首先,采用包含隶属度与非隶属度偏差及犹豫度信息的直觉模糊熵,基于熵权法和权重协调系数确定综合准则权重;其次,综合考虑决策矩阵直觉模糊熵和距离测度,建立一种新的决策者权重方法;然后,采用直觉模糊加权平均算子得到决策者和决策群体综合评价矩阵;最后,将VIKOR方法扩展到直觉模糊语言环境,对备选供应商进行折衷排序和选优。展开更多
基金supported by the National Natural Sciences Foundation of China(No.71221061)China Postdoctoral Science Foundation(No.2014M552169)Central South University Business Management Postdoctoral Research Station
文摘Considering the decision maker's risk psychological factors and information ambiguity under uncertainty, a novel TOPSIS based on prospect theory (PT) and trapezoidal intuitionistic fuzzy numbers (YrIFNs) for group decision making is investigated, in which the criteria values and the criteria weights take the form of TrIFNs, and weights of decision makers are unknown. Firstly, distance measures for TrIFNs are used to induce value function under trapezoidal intuitionistic fuzzy environment. Secondly, the concepts of distance measures and trapezoidal intuitionistie fuzzy weighted averaging operator are employed to induce the weights of decision makers and thus the decision makers' options can be aggregated. Then the PT-based separation measures and relative closeness coefficient are defined and an algorithm for ranking alternatives under trapezoidal intuitionistic fuzzy environment is proposed. Finally, a numerical example further illustrates the practicality and effectiveness of the proposed TOPSIS method.
基金supported by the Natural Science Foundation of China[grant number 71601059],[grant number 71673069].
文摘In the decision-making process,the decision information provided by decision makers over alter-natives may take the form of intuitionistic fuzzy numbers and come from different periods.The weight of information on decision makers,criteria,periods is usually completely unknown.To this issue,we first utilise hesitation degree information and introduce the concept of confi-dence degree function to determine the decision maker’s weights.Then we aggregate individual evaluation information into group evaluation information through intuitionistic fuzzy number weighted arithmetic averaging operator.We construct a nonlinear optimisation model to gain the criterion weights and apply the aggregate operator to gain the integrated rating value of alternatives in different periods,calculating the deviations of the integrated rating values with respect to their average.Then the period weights are been obtained by using the entropy method.According to the closeness coefficient between alternatives and ideal solution to sort the alternatives and select the optimal one.
基金supported by a grant from the International Scholar Exchange Fellowship(2011-2012) of the Korea Foundation for Advanced StudiesNatural Science Foundation of China(71171202,71171201)+1 种基金the Science Foundation for National Innovation Research Group of China(71221061)the International Cooperation Major Project of the National Natural Science Foundation of China(71210003)
文摘The problem of measuring conflict in large-group decision making is examined with every decision preference expressed by multiple interval intuitionistic trapezoidal fuzzy numbers (IITFNs). First, a distance measurement between two IITFNs is given and a function of conflict between two members of the large group is proposed. Second, members of the large group are clustered. A measurement model of group conflict, which is applied to aggregating large-group preferences, is then proposed by employing the conflict measure of clusters. Finally, a simulation example is presented to validate the models. These models can deal with the preference analysis and coordination of a large-group decision, and are thus applicable to emergency group decision making.
基金supported by the National Natural Science Foundation of China (7087111770571086)
文摘An extended compromise ratio method(CRM) based on fuzzy distances is developed to solve fuzzy multi-attribute group decision making problems in which weights of attributes and ratings of alternatives on attributes are expressed with values of linguistic variables parameterized using triangular fuzzy numbers.A compromise solution is determined by introducing the ranking index based on the concept that the chosen alternative should be as close as possible to the positive ideal solution and as far away from the negative ideal solution as possible simultaneously.This proposed method is compared with other existing methods to show its feasibility and effectiveness and illustrated with an example of the military route selection problem as one of the possible applications.
文摘针对装备征用动员中器材需求不确定性大、响应时效性和质量要求高等特点,构建基于军事供应链的装备器材供应商选优评价准则体系,为解决不同准则带来的多种异质评价信息及准则权重、决策者权重均未知的多准则群决策问题,提出了一种基于直觉模糊熵和扩展多准则妥协解(VlseKriterijumska Optimizacija I Kompromisno Resenje,VIKOR)框架的决策方法。首先,采用包含隶属度与非隶属度偏差及犹豫度信息的直觉模糊熵,基于熵权法和权重协调系数确定综合准则权重;其次,综合考虑决策矩阵直觉模糊熵和距离测度,建立一种新的决策者权重方法;然后,采用直觉模糊加权平均算子得到决策者和决策群体综合评价矩阵;最后,将VIKOR方法扩展到直觉模糊语言环境,对备选供应商进行折衷排序和选优。