Open AccessNew directions in LB-valued general fuzzy automata: A topological view
Author(s) -
Khadijeh Abolpour,
M. M. Zahedi
Publication year - 2021
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/fil2101251a
Subject(s) - mathematics , residuated lattice , network topology , successor cardinal , automaton , homotopy , topological space , fuzzy logic , discrete mathematics , distributive property , pure mathematics , topology (electrical circuits) , combinatorics , theoretical computer science , computer science , mathematical analysis , artificial intelligence , operating system
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.