New directions in LB-valued general fuzzy automata: A topological view
| Autor: | Khadijeh Abolpour, Mohammad Zahedi Mehdi |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Filomat. 35:251-270 |
| ISSN: | 2406-0933 0354-5180 |
| Popis: | In the current study, we define the different L-valued operators on LB-valued general fuzzy automata or simply LB-valued GFA, where B is considered as a complete infinitely distributive lattice of propositions about the GFA. In particular, this study demonstrates that the L-valued successor and predecessor operators induce L-valued co-topologies while the L-valued residuated and approximation operators induce L-valued topologies on the state set of given LB-valued GFA. Further, we show that the continuity and separation properties of such LB-valued general fuzzy automaton can be examined in terms of these topologies. Moreover, we study and explicate the LB-valued GFA structure space and LB-valued GFA homotopy in more details. |
| Databáze: | OpenAIRE |
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