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A study of the Multicriteria decision analysis based on the time-series features and a TOPSIS method proposal for a tensorial approach

2020/10/21 by Betania Silva Carneiro Campello, Leonardo Tomazeli Duarte, Campello, Betania S. C. +3
Computer Science · Decision Sciences · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Multi-Criteria Decision Making #Neural Networks and Applications #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.2010.11720

openalex publication_date 2020/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A number of Multiple Criteria Decision Analysis (MCDA) methods have been developed to rank alternatives based on several decision criteria. Usually, MCDA methods deal with the criteria value at the time the decision is made without considering their evolution over time. However, it may be relevant to consider the criteria' time series since providing essential information for decision-making (e.g., an improvement of the criteria). To deal with this issue, we propose a new approach to rank the alternatives based on the criteria time-series features (tendency, variance, etc.). In this novel approach, the data is structured in three dimensions, which require a more complex data structure, as the tensors, instead of the classical matrix representation used in MCDA. Consequently, we propose an extension for the TOPSIS method to handle a tensor rather than a matrix. Computational results reveal that it is possible to rank the alternatives from a new perspective by considering meaningful decision-making information.

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