Fuzzy Cognitive Maps as a Tool to Forecast Emotions in Refugee and Migrant Communities for Site Management

Drakaki, Maria; Gören, Hacer Güner; Tzionas, Panagiotis

doi:10.1007/978-3-030-18819-1_1

Cited by 4 publications

(1 citation statement)

References 17 publications

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“…In recent years, FCMs have been used in various fields, such as medical diagnosis (Amirkhani et al, 2018b; Bourgani et al, 2014; Georgopoulos and Stylios, 2017), bioinformatics (Amirkhani et al, 2018a), decision-making (Drakaki et al, 2019; Kang et al, 2004), and economics (Koulouriotis et al, 2001). Especially, by means of the abilities of reasoning and learning, FCMs have been applied in control applications.…”

Section: Introductionmentioning

confidence: 99%

The feedback stabilization of finite-state fuzzy cognitive maps

Xiaojie

Luo

2022

Transactions of the Institute of Measurement and Control

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Fuzzy cognitive maps (FCMs) are a kind of cognitive model for knowledge representation and causal inference. Meanwhile, as fuzzy dynamical systems, FCMs have also been widely applied in the control-related fields, such as mobile robots, unmanned aerial vehicles (UAVs), and industrial controls. However, the existing works mainly focused on the practical applications but lacked the necessary theoretical discussions related to the FCM-based control mechanism. As is known, stabilization is one of the fundamental issues in the control fields. Till date, rigorous research on the stabilization of FCMs is still an issue to be studied. In this article, using state feedback control method, the global stabilizations of finite-state FCMs are investigated. First, utilizing the semi-tensor product (STP) of matrices, the algebraic expression of FCM can be derived. Some theorems ensure the sufficient condition for the existence of the state feedback controller of the global stabilization. Second, the constructive design processes of state feedback controllers are discussed in detail. Third, the global stabilization is further extended into partial stabilization, where only specific concepts of FCMs can be stabilized. The corresponding theoretical analysis is implemented. Finally, the effectiveness of the proposed methods is verified by several examples.

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