Bisimulations for fuzzy automata

M Ćirić, J Ignjatović, N Damljanović, M Bašić - Fuzzy Sets and Systems, 2012 - Elsevier
Bisimulations have been widely used in many areas of computer science to model
equivalence between various systems, and to reduce the number of states of these systems …

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

J Ignjatović, M Ćirić - Filomat, 2012 - JSTOR
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 …

Characterization and computation of approximate bisimulations for fuzzy automata

I Micić, LA Nguyen, S Stanimirović - Fuzzy Sets and Systems, 2022 - Elsevier
Approximate bisimulations for fuzzy automata have recently drawn attention of researches,
since they allow to correlate different fuzzy automata which behave equivalently only to the …

Computation of the greatest simulations and bisimulations between fuzzy automata

M Ćirić, J Ignjatović, I Jančić, N Damljanović - Fuzzy Sets and Systems, 2012 - Elsevier
Recently, two types of simulations (forward and backward simulations) and four types of
bisimulations (forward, backward, forward–backward, and backward–forward bisimulations) …

A behavioral distance for fuzzy-transition systems

Y Cao, SX Sun, H Wang, G Chen - IEEE Transactions on Fuzzy …, 2012 - ieeexplore.ieee.org
In contrast with the existing approaches to exact bisimulation for fuzzy systems, we introduce
a robust notion of behavioral distance to measure the behavioral similarity of …

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

J Ignjatović, M Ćirić, S Bogdanović - Fuzzy Sets and Systems, 2010 - Elsevier
In this paper we study systems of fuzzy relation inequalities and equations of the form U∘
Vi≤ Vi∘ U (i∈ I), where U is an unknown and Vi (i∈ I) are given fuzzy relations, the dual …

Reduction of fuzzy automata by means of fuzzy quasi-orders

A Stamenković, M Ćirić, J Ignjatović - Information Sciences, 2014 - Elsevier
In our recent paper we have established close relationships between state reduction of a
fuzzy automaton and resolution of a particular system of fuzzy relation equations. In that …

Fuzzy relation equations and subsystems of fuzzy transition systems

J Ignjatović, M Ćirić, V Simović - Knowledge-Based Systems, 2013 - Elsevier
In this paper we study subsystems, reverse subsystems and double subsystems of a fuzzy
transition system. We characterize them in terms of fuzzy relation inequalities and equations …

Uniform fuzzy relations and fuzzy functions

M Ćirić, J Ignjatović, S Bogdanović - Fuzzy Sets and Systems, 2009 - Elsevier
In this paper we introduce and study the concepts of a uniform fuzzy relation and a (partially)
uniform F-function. We give various characterizations and constructions of uniform fuzzy …

Further improvements of determinization methods for fuzzy finite automata

Z Jančić, I Micić, J Ignjatović, M Ćirić - Fuzzy Sets and Systems, 2016 - Elsevier
In this paper we provide further improvements of determinization methods for fuzzy finite
automata. These methods perform better than all previous determinization methods for fuzzy …