基于TTDWAA算子和TPBM算子的混合型多属性大群体决策方法
A Hybrid Multiple Attribute Large Group Decision-making Approach Based on TTDWAA Operator and TPBM Operator
王伟明 1徐海燕 2朱建军 2黄鑫2
作者信息
- 1. 江西财经大学工商管理学院,江西 南昌 330032;江西财经大学财经数据科学重点实验室,江西 南昌 330032;南京航空航天大学经济与管理学院,江苏 南京 211106
- 2. 南京航空航天大学经济与管理学院,江苏 南京 211106
- 折叠
摘要
针对传统混合型多属性群体决策方法大多仅适用于中小规模群体的情况,提出一种新的基于三维二元语义密度算子和二元语义幂Bonferroni算子的混合型多属性大群体决策方法.首先,给出四种不同的转换函数,以此将各决策者给出的包含精确数、区间数、语言变量和不确定语言变量一致化为二元语义信息;然后,定义三维二元语义密度算子,以此将一致化后各决策者的二元语义多属性决策矩阵进行集结;最后,在二元语义幂Bonferroni算子的基础上,对群体综合的二元语义多属性决策矩阵进行集结.选取某ERP软件选择问题进行算例分析,研究结果表明,该方法不仅能够较好地处理混合信息和充分考虑群体共识度,还能够有效体现属性之间的关联性和减轻异常属性值的不利影响.
Abstract
In the face of some complex multiple attribute group decision-making problems,the type of informa-tion with regard to multiple attributes is inconsistent,and the number of decision makers is or exceeds 20.In such situations,a new hybrid multiple attribute large group decision-making problem occurs.The hybrid multiple attribute large group decision-making problem can be seen everywhere in real life,and it has attracted much attention from domestic and overseas experts over the last years.However,so far hybrid multiple attribute large group decision-making methods are rare.In order to overcome this kind of deficiency,a novel hybrid multiple attribute large group decision-making approach is proposed based on three-dimensional two-tuple linguistic density operator and two-tuple linguistic power Bonferroni operator.First,4 different conver-sion functions are designed to transform the hybrid information of decision-makers that contains precise numbers,interval numbers,linguistic variables,and uncertain linguistic variables into two-tuple linguistic information.Then,the three-dimensional two-tuple linguistic density operator is defined to aggregate the multiple attribute decision-making matrices of decision-makers with two-tuple linguistic information.Finally,the two-tuple linguistic power Bonferroni operator is investigated to aggregate to the collective multiple attribute decision-making matrix with two-tuple linguistic information.A numerical example concerning the selection of ERP softwares is provided to illustrate the validity and rationality of the proposed approach.The research shows that not only can the proposed approach solve the problem of handling the hybrid information and consider large group consensus,but the proposed approach can also reflect the correlation relationships among attributes and alleviate the adverse influences of the abnormal attribute values.
关键词
多属性决策/大群体/混合型/三维二元语义密度算子/二元语义幂Bonferroni算子Key words
multiple attribute decision-making/large group/hybrid/three-dimensional two-tuple linguistic density operator/two-tuple linguistic power Bonferroni operator引用本文复制引用
基金项目
国家自然科学基金(71971115)
国家自然科学基金(72362022)
江西省自然科学基金(20232BAB211011)
江西财经大学财经数据科学重点实验室开放基金()
出版年
2024
NETL
NSTL
万方数据