基于二型直觉三角前景T2ITFNHA算子的多准则群决策方法
陈振颂,李延来,CHEN Kwai-Sang
系统科学与数学 ›› 2016, Vol. 36 ›› Issue (8) : 1226-1254.
基于二型直觉三角前景T2ITFNHA算子的多准则群决策方法
MULTIPLE CRITERIA GROUP DECISION MAKING METHOD BASED ON PROSPECT TYPE-2 INTUITIONISTIC TRIANGULAR FUZZY HYBRID AGGREGATION OPERATOR
在二型直觉模糊集与直觉三角模糊数的基础上, 定义了二型直觉三角模糊数及其运算法则, 给出基于二型直觉三角模糊数的加权算术平均(WAA)算子, 有序加权平均(OWA)算子和混合集结(HA)算子. 考虑决策者有限理性决策行为下的异化风险态度与敏感性, 定义二型直觉三角模糊前景效应与前景价值函数, 构造前景 T2ITFNHA算子. 针对多方参与决策且决策者权重确 定, 准则权重未知的多准则群决策问题, 采用正态 分布赋权法计算前景T2ITFNHA算子指标置换下的位 置权重, 提出基于二型直觉三角前景T2ITFNHA算子 的决策方法. 该方法利用前景T2ITFNHA算子集结群 体准则的二型直觉三角前景价值函数, 运用灰色系 统理论确定准则权重, 并通过计算前景集对记分函数对方案进行对比和排序. 最后, 案例分析说明了二型直觉三角模糊数的实际应用背景及所提高的决策方法的有效性和可行性.
This paper introduces a concept of a type-2 intuitionistic triangular fuzzy number (T2ITFN) and its operating rules based on a type-2 intuitionistic fuzzy set and an intuitionistic triangular fuzzy number, thereafter a T2ITFN weighted arithmetic averaging (T2ITFNWAA) operator, a T2ITFN ordered weighted averaging (T2ITFNOWA) operator, a T2ITFN hybrid aggregation (T2ITFNHA) operator are proposed. Considering the diversities of risk attitudes and sensitivities among decision-makers with limited rational behaviors, a prospect effect and a prospect value function of T2ITFN are defined as constructing a prospect T2ITFNHA (PT2ITFNHA). With respect to a multiple criteria group decision making problem, in which decision-makers' weights are known, criteria weights are uncertain, and position weights of PT2ITFNHA are calculating by a normal distribution-based method, an approach for multiple criteria group decision making based on a novel prospect T2ITFNHA operator is proposed. In the approach, a prospect value function of T2ITFN is aggregated by using the PT2ITFNHA operator; a grey system theory model is then built to determine the criteria weights and a ranking of alternatives is obtained by calculating a proposed set pair score function. Finally, a practical example illustrates the practical application background of T2ITFN and shows the feasibility and effectiveness of the proposed approach.
二型直觉模糊集 / 直觉三角模糊数 / 前景理论 / T2ITFNHA算子 {{custom_keyword}} /
/
〈 | 〉 |