乘法函数
群体决策
一致性(知识库)
偏爱
计算机科学
区间(图论)
稳健性(进化)
群(周期表)
财产(哲学)
数学
数学优化
人工智能
统计
组合数学
社会心理学
基因
认识论
数学分析
哲学
有机化学
化学
生物化学
心理学
作者
Fanyong Meng,Jie Tang,Francisco Javier Cabrerizo,Enrique Herrera–Viedma
标识
DOI:10.1016/j.engappai.2020.103514
摘要
Interval-valued intuitionistic multiplicative variables (IVIMVs) can conveniently and effectively represent the uncertain multiplicative preferred and non-preferred judgements of decision makers, this paper studies group decision making (GDM) with interval-valued intuitionistic multiplicative preference relations (IVIMPRs). To calculate the interval-valued intuitionistic multiplicative priority weight vector reasonably, a new consistency concept is introduced that satisfies robustness and upper triangular property. Following this concept, models to judge the consistency and obtain consistent IVIMPRs from inconsistent ones are constructed, respectively. To address the problem of incomplete preferences, consistency-based model to determine missing values is built. Furthermore, we study the consensus for GDM with IVIMPRs and provide a new consensus approach. When an acceptable consensus level is not achieved, an interactive and automatic adjustment method is applied to reach a better consensus level. Following discussion about consistency and consensus, an algorithm for GDM is offered that can address inconsistent and incomplete IVIMPRs. Finally, a practical problem about selecting the steel supplier is selected to show the application of the new method.
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