Fuzzy preordered set, fuzzy topology and fuzzy automaton based on generalized residuated lattice. (English) Zbl 1398.54026
Summary: This work is towards the study of the relationship between fuzzy preordered sets and Alexandrov (left/right) fuzzy topologies based on generalized residuated lattices here the fuzzy sets are equipped with generalized residuated lattice in which the commutative property doesn’t hold. Further, the obtained results are used in the study of fuzzy automata theory.
MSC:
| 54A40 | Fuzzy topology |
| 06A06 | Partial orders, general |
| 03G25 | Other algebras related to logic |
| 68Q45 | Formal languages and automata |
Keywords:
generalized residuated lattice; (left/right) subsystem; fuzzy automata; Alexandrov (left/right) fuzzy topologyReferences:
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