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

Jelena Ignjatović | Zendy; Miroslav Ćirić | Zendy

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

Author(s) -

Jelena Ignjatović,

Miroslav Ćirić

Publication year - 2012

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1202207i

Subject(s) - mathematics , bisimulation , relation (database) , fuzzy logic , algebra over a field , fuzzy subalgebra , equivalence relation , automaton , discrete mathematics , fuzzy control system , theoretical computer science , fuzzy set operations , pure mathematics , computer science , artificial intelligence , data mining

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 discussedin 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.

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