Introduction to reversal fuzzy switch graph

• Main Author: Campos, Suene
• Publication Date: 2022
• Other Authors: Santiago, Regivan, Martins, Manuel A., Figueiredo, Daniel
• Format: Article
• Language: eng
• Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
• Download full: http://hdl.handle.net/10773/37333
• topic: Reversal fuzzy switch graphs; Reversal fuzzy reactive graphs; Fuzzy switch graphs; Fuzzy systems; Reactive systems

Fuzzy Switch Graphs (F S G) generalize the notion of Fuzzy Graphs by adding high-order arrows and aggregation functions which update the fuzzy values of arrows whenever a zero-order arrow is crossed. In this paper, we propose a more general structure called Reversal Fuzzy Switch Graph (R F S G), which promotes other actions in addition to updating the fuzzy values of the arrows, like activation and deactivation of the arrows. R F S Gs are able to model dynamical aspects of some systems which generally appear in engineering, computer science and some other fields. The paper also provides the relationship between R F S Gs and fuzzy graphs, a logic to verify properties of the modeled system and closes with an application.