scholarly journals Fuzzy relation equations and reduction of fuzzy automata

2010 ◽  
Vol 76 (7) ◽  
pp. 609-633 ◽  
Author(s):  
Miroslav Ćirić ◽  
Aleksandar Stamenković ◽  
Jelena Ignjatović ◽  
Tatjana Petković
Keyword(s):  
Fuzzy Relation ◽  
Fuzzy Relation Equations ◽  
Fuzzy Automata

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.

Fuzzy relation equations theory as a basis of fuzzy modelling: An overview

1991 ◽  
Vol 40 (3) ◽  
pp. 415-429 ◽  
Author(s):  
A. Di Nola ◽  
W. Pedrycz ◽  
S. Sessa ◽  
E. Sanchez
Keyword(s):  
Fuzzy Relation ◽  
Fuzzy Modelling ◽  
Fuzzy Relation Equations

scholarly journals Solution of Fuzzy Relation Equations Using Composite Operators

2001 ◽  
Vol 121 (4) ◽  
pp. 756-761
Author(s):  
Miyagi Hayao ◽  
Fan Yiping ◽  
Yamashita Katsumi
Keyword(s):  
Fuzzy Relation ◽  
Fuzzy Relation Equations
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