A Method for Multi-Attribute Group Decision Making Based on Generalized Interval-Valued Intuitionistic Fuzzy Choquet Integral Operators
A Method for Multi-Attribute Group Decision Making Based on Generalized Interval-Valued Intuitionistic Fuzzy Choquet Integral Operators
复制标题
基于广义区间值直觉模糊Choquet积分算子的多属性群决策方法
DOI：
10.1142/s0218488517500350
复制
发表时间：
2017
影响因子：
1.5
通讯作者：
Tan Chunqiao
中科院分区：
文献类型：
--
作者：
Meng Fanyong;Tan Chunqiao
作为经典平均算子的扩展，Choquet积分已被证明是决策理论的有力工具。针对多属性群决策问题，提出了一种基于广义区间值直觉模糊Choquet积分和广义交互指标的决策方法，该方法考虑了各要素的重要性，并反映了各要素之间的交互作用。基于给定的区间值直觉模糊集的运算规律，定义了广义Shapley和Banzhaf指标下的区间值直觉模糊Choquet积分。此外，还研究了它们的一些性质，如幂等、边界、共频线性和μ线性。在此基础上，提出了一种求解区间值直觉模糊环境下多属性群体决策的算子。最后，给出了一个数值算例来说明所开发的程序。
As an extension of the classical averaging operators, Choquet integral has been shown a powerful tool for decision theory. In this paper, a method based on the generalized interval-valued intuitionistic fuzzy Choquet integrals w.r.t. the generalized interaction indices is proposed for multiattribute group decision making problems, where the importance of the elements is considered, and their interactions are reflected. Based on the given operational laws on interval-valued intuitionistic fuzzy sets, the interval-valued intuitionistic fuzzy Choquet integrals with respect to the generalized Shapley and Banzhaf indices are defined. Moreover, some of their properties are studied, such as idempotency, boundary, comonotonic linearity and μ–linearity. Furthermore, a decision procedure based on the proposed operators is developed for solving multi-attribute group decision making under interval-valued intuitionistic fuzzy environment. Finally, a numerical example is provided to illustrate the developed procedure.