2024
DOI: 10.3390/axioms13020095
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Integrating the Coupled Markov Chain and Fuzzy Analytic Hierarchy Process Model for Dynamic Decision Making

Jih-Jeng Huang,
Chin-Yi Chen

Abstract: This paper introduces a pioneering model that merges coupled Markov chains (CMC) with the fuzzy analytic hierarchy process (FAHP) to enhance multi-criteria decision making (MCDM) amidst the dynamic interplay of criteria. Traditional MCDM frameworks often lack the granularity to manage the intricate and changing relationships among criteria. Our model addresses this gap by integrating fuzzy numbers into AHP, providing a nuanced means to handle the inherent uncertainty of decision criteria. The application of th… Show more

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Cited by 2 publications
(5 citation statements)
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“…Therefore, based on the change in D c, c and D l, c values, it can be observed from Fig. 7 that Val decreases with an increasing number of clusters in the interval [1,20]. However, before the number of clusters is six, Val decreases rapidly.…”
Section: Fcm Cluster Analysis Of Loadmentioning
confidence: 89%
See 3 more Smart Citations
“…Therefore, based on the change in D c, c and D l, c values, it can be observed from Fig. 7 that Val decreases with an increasing number of clusters in the interval [1,20]. However, before the number of clusters is six, Val decreases rapidly.…”
Section: Fcm Cluster Analysis Of Loadmentioning
confidence: 89%
“…When all machine learning models are successfully trained and short-term load forecasting is carried out, the classification of the day to be forecasted is difficult to determine owing to the unknown load-related information. In this study, the Markov chain model [20] was used to solve the problem of classification and discrimination of the days to be forecasted.…”
Section: Markov Chain Modelmentioning
confidence: 99%
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“…Nevertheless, we introduce the problem in all its generality to allow for an immediate extension to mean-field game theory of the results described here. The approach of continuous-time Markov chain in optimal decision process is widely used in applications; for a recent paper on this topic, we suggest [13] and the references therein.…”
Section: The Model 21 the Microscopic Modelmentioning
confidence: 99%