Weakly linear systems for matrices over the max-plus quantale

2021 ◽  
Author(s):  
Aleksandar Stamenković ◽  
Miroslav Ćirić ◽  
Dragan Djurdjanović
Keyword(s):  
Linear Systems ◽  
Weakly Linear

scholarly journals Weakly linear systems of fuzzy relation inequalities and their applications: A brief survey

Filomat ◽  
2012 ◽  
Vol 26 (2) ◽  
pp. 207-241 ◽  
Author(s):  
Jelena Ignjatovic ◽  
Miroslav Ciric
Keyword(s):  
Social Network ◽  
Network Analysis ◽  
Linear Systems ◽  
Fuzzy Relation ◽  
General Aspect ◽  
State Reduction ◽  
Fuzzy Relation Equations ◽  
The Social ◽  
Fuzzy Automata ◽  
Weakly Linear

Weakly linear systems of fuzzy relation inequalities and equations have recently emerged from research in the theory of fuzzy automata. From the general aspect of the theory of fuzzy relation equations and inequalities homogeneous and heterogeneousweakly linear systems have been discussed in two recent papers. Here we give a brief overview of the main results from these two papers, as well as from a series of papers on applications of weakly linear systems in the state reduction of fuzzy automata, the study of simulation, bisimulation and equivalence of fuzzy automata, and in the social network analysis. Especially, we present algorithms for computing the greatest solutions to weakly linear systems.

scholarly journals Weakly linear systems of fuzzy relation inequalities: The heterogeneous case

2012 ◽  
Vol 199 ◽  
pp. 64-91 ◽  
Author(s):  
Jelena Ignjatović ◽  
Miroslav Ćirić ◽  
Nada Damljanović ◽  
Ivana Jančić
Keyword(s):  
Linear Systems ◽  
Fuzzy Relation ◽  
Weakly Linear

On the greatest solutions to weakly linear systems of fuzzy relation inequalities and equations

2010 ◽  
Vol 161 (24) ◽  
pp. 3081-3113 ◽  
Author(s):  
Jelena Ignjatović ◽  
Miroslav Ćirić ◽  
Stojan Bogdanović
Keyword(s):  
Linear Systems ◽  
Fuzzy Relation ◽  
Weakly Linear
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