Max-plus algebra in the history of discrete event systems

J Komenda, S Lahaye, JL Boimond… - Annual Reviews in …, 2018 - Elsevier
Max-plus algebra in the history of discrete event systems - ScienceDirect Skip to main
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

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 …

Fuzzy minimax nets

LA Nguyen, I Micić… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
In this article, we introduce fuzzy minimax nets as a novel tool to compute the greatest fuzzy
bisimulation/simulation between two finite fuzzy labeled graphs. Fuzzy labeled graphs are a …

Logical characterizations of simulation and bisimulation for fuzzy transition systems

H Wu, Y Deng - Fuzzy Sets and Systems, 2016 - Elsevier
Simulations and bisimulations are known to be useful for abstracting and comparing formal
systems, and they have recently been introduced into fuzzy systems. In this study, we …

Approximate bisimulations and state reduction of fuzzy automata under fuzzy similarity measures

C Yang, Y Li - Fuzzy Sets and Systems, 2020 - Elsevier
For the purpose of reducing the number of states of fuzzy automata, we study approximate
bisimulations of fuzzy automata under fuzzy similarity measures, which are induced by …

Computing the fuzzy partition corresponding to the greatest fuzzy auto-bisimulation of a fuzzy graph-based structure under the Gödel semantics

LA Nguyen - Information Sciences, 2023 - Elsevier
The similarity measure based on fuzzy bisimulation has the Hennessy-Milner property as a
strong logical foundation. It is useful for classification and clustering. In this work, we design …

Computing fuzzy bisimulations for fuzzy structures under the Gödel semantics

LA Nguyen, DX Tran - IEEE Transactions on Fuzzy Systems, 2020 - ieeexplore.ieee.org
Bisimulation is a well-known notion in modal logic and the theory of labeled transition
systems. It is used for characterizing indiscernibility between states and has important …

Logical characterizations of fuzzy bisimulations in fuzzy modal logics over residuated lattices

LA Nguyen - Fuzzy Sets and Systems, 2022 - Elsevier
There are two kinds of bisimulation, namely crisp and fuzzy, between fuzzy structures such
as fuzzy automata, fuzzy labeled transition systems, fuzzy Kripke models and fuzzy …

Algorithmic and logical characterizations of bisimulations for non-deterministic fuzzy transition systems

H Wu, Y Chen, T Bu, Y Deng - Fuzzy Sets and Systems, 2018 - Elsevier
Bisimulation is a well-known behavioral equivalence for discrete event systems and has
been developed in fuzzy systems quickly. In this paper, we adopt an approach of the …

Fuzzy simulations and bisimulations between fuzzy automata

LA Nguyen - International Journal of Approximate Reasoning, 2023 - Elsevier
Simulations and bisimulations between two fuzzy automata over a complete residuated
lattice were defined by Ćirić et al.(2012)[7],[8] as fuzzy relations between the sets of states of …