Further improvements of determinization methods for fuzzy finite automata
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 finite automata, developed by Bělohlávek [3], Li and Pedrycz [38], Ignjatović et al. [25], and Jančić et al. [33], in t...
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| Vydané v: | Fuzzy sets and systems Ročník 301; s. 79 - 102 |
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| Jazyk: | English |
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Elsevier B.V
15.10.2016
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| ISSN: | 0165-0114, 1872-6801 |
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| Abstract | 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 finite automata, developed by Bělohlávek [3], Li and Pedrycz [38], Ignjatović et al. [25], and Jančić et al. [33], in the sense that they produce smaller automata, while require the same computation time. The only exception is the Brzozowski type determinization algorithm developed recently by Jančić and Ćirić [34], which produces a minimal crisp-deterministic fuzzy automaton, but the algorithms created here can also be used within the Brzozowski type algorithm and improve its performance. |
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| AbstractList | 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 finite automata, developed by Bělohlávek [3], Li and Pedrycz [38], Ignjatović et al. [25], and Jančić et al. [33], in the sense that they produce smaller automata, while require the same computation time. The only exception is the Brzozowski type determinization algorithm developed recently by Jančić and Ćirić [34], which produces a minimal crisp-deterministic fuzzy automaton, but the algorithms created here can also be used within the Brzozowski type algorithm and improve its performance. |
| Author | Ćirić, Miroslav Jančić, Zorana Micić, Ivana Ignjatović, Jelena |
| Author_xml | – sequence: 1 givenname: Zorana surname: Jančić fullname: Jančić, Zorana email: zoranajancic329@gmail.com – sequence: 2 givenname: Ivana surname: Micić fullname: Micić, Ivana email: ivanajancic84@gmail.com – sequence: 3 givenname: Jelena surname: Ignjatović fullname: Ignjatović, Jelena email: jelena.ignjatovic@pmf.edu.rs – sequence: 4 givenname: Miroslav surname: Ćirić fullname: Ćirić, Miroslav email: miroslav.ciric@pmf.edu.rs |
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| Keywords | Nerode automaton Determinization Crisp-deterministic fuzzy automaton State reduction Fuzzy automaton Complete residuated lattice |
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