Title
Introducing Fuzzy Reactive Graphs: A Simple Application On Biology
Abstract
In this paper, we propose a generalization for fuzzy graphs in order to model reactive systems with fuzziness. As we will show, the resulting fuzzy structure, called fuzzy reactive graphs (FRG), is able to model dynamical aspects of some entities which generally appear in: biology, computer science and some other fields. The dynamical aspect is captured by a transition function which updates the values of the graph after an edge has been crossed. The update process takes into account aggregation functions. The paper proposes a notion for bisimulation for such graphs and briefly shows how modal logic can be used to verify properties of systems modeled with FSGs. The paper closes with a toy example in the field of Biology.
Year
DOI
Venue
2021
10.1007/s00500-020-05353-1
SOFT COMPUTING
Keywords
DocType
Volume
Fuzzy switch graphs, Fuzzy reactive graphs, Bisimulation, Fuzzy graphs, Fuzzy systems, Reactive systems, Biological systems, Synthetic biology
Journal
25
Issue
ISSN
Citations 
9
1432-7643
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Regivan H. N. Santiago19217.42
Manuel A. Martins29820.42
Daniel Figueiredo300.68