自动化学报Issue(7)：1442-1471,30.DOI:10.3724/SP.J.1004.2014.01442
基于I ITFN输入的复杂系统关联MAGDM方法
An Interdependent Multi-attribute Group Decision Making Method for Complex Systems Based upon Fuzzy Input with Interval-valued Intuitionistic Trapezoidal Fuzzy Numbers
摘要
Abstract
The interval-valued intuitionistic trapezoidal fuzzy number (IITFN) is an efficient tool for describing uncer-tainties of complex systems. In this paper, we propose the improved operational laws of IITFNs and discuss their partial closure property. Then an interval-valued intuitionistic trapezoidal fuzzy geometric Bonferroni mean operator is developed, and some relative properties of this operator are also investigated. With respect to a multi-attribute group decision mak-ing (MAGDM) problem, in which there are both interactions among decision-makers and attributes with both unknown decision-makers0 weights and attributes0 weights, an interdependent MAGDM method based on a prospect hybrid interval-valued intuitionistic trapezoidal fuzzy geometric Bonferroni (PHIITFGB) mean operator is proposed. Firstly, the prospect effect, prospect value function, and prospect value of IITFN are defined to obtain the prospect value matrixes. Secondly, the prospect value matrixes are transformed into the corresponding prospect score function matrixes, then a maximum entropy optimization model for determining the objective attribute weights based on a principle of grey correlation deep coefficient and a model for obtaining decision-maker weights based on the combination of 2-additive fuzzy measures and Choquet integral are integrated to determine the decision-makers0 weights and attributes0 weights. Thirdly, evaluations of all the alternatives derived from all the decision makers are aggregated by utilizing the PHIITFGB mean operator, and then the comprehensive prospect value corresponding to each alternative is obtained by integrating the decision-makers0 weights. Finally, a ranking of alternatives is determined by calculating score functions of the alternatives. A practical example is given to illustrate the validity and feasibility of the proposed decision-making methods.关键词
不确定性/区间直觉梯形模糊数/前景理论/多属性群决策/Choquet积分Key words
Uncertainty/interval-valued intuitionistic trapezoidal fuzzy numbers (IITFN)/prospect theory/multi-attribute group decision making (MAGDM)/Choquet integral引用本文复制引用
陈振颂,李延来..基于I ITFN输入的复杂系统关联MAGDM方法[J].自动化学报,2014,(7):1442-1471,30.基金项目
国家自然科学基金(71371156,70971017),西南交通大学优秀博士学位论文培育项目资助Supported by National Natural Science Foundation of China (71371156,70971017) and the Excellent Doctoral Dissertation Cultivation Project of Southwest Jiaotong University （71371156,70971017）
