Stochastic group preference acceptability analysis for interval-valued multiplicative preference relations based on TODIM method

Among many decision problems, interval-valued multiplicative preference relation (IMPR) is widely utilized due to its ability to express uncertain information. A new approach to solve group decision making (GDM) with IMPRs is proposed in this paper, named stochastic group preference acceptability an...

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Bibliographic Details
Published in:Applied soft computing 2024-01, Vol.151, p.111140, Article 111140
Main Authors: Zhang, Ke, Zhou, Ligang, Dai, Xianchao, Li, Hao
Format: Article
Language:English
Subjects:
Acceptability analysis
Group decision making
Interval-valued multiplicative preference relation
Stochastic simulation
TODIM method
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Summary:Among many decision problems, interval-valued multiplicative preference relation (IMPR) is widely utilized due to its ability to express uncertain information. A new approach to solve group decision making (GDM) with IMPRs is proposed in this paper, named stochastic group preference acceptability analysis with TODIM (SGPAA-TODIM) method, by combining TODIM method (an acronym in Portuguese of Interactive and multi-criteria Decision Making) with stochastic multi-criteria acceptability analysis (SMAA-2). It effectively circumvents information loss and considers the weight and risk preferences of experts. Firstly, the stochastic multiplicative preference relation is defined through stochastic simulation employing a certain density function, and its priority weight vector is determined using the logarithmic least squares method (LLSM). Then, the priority preference comprehensive matrix is proposed by extracting information of priority vectors. Moreover, the novel SGPAA-TODIM method is developed to analyze the stochastic parameter spaces, with the optimal rank determined based on the analysis of acceptability degrees associated with dominance rank. Finally, to demonstrate the validity and applicability of the proposed method, numerical examples are given. •The stochastic MPR is proposed through stochastic simulation.•The priority preference comprehensive matrix is defined for aggregating the priority vectors.•A novel method to solve group decision making problem.•Three examples are provided to show the effectiveness of the proposed method.
ISSN:1568-4946
1872-9681
DOI:10.1016/j.asoc.2023.111140