Open AccessStudy of Weak Fuzzy Automaton Homomorphisms on Single Input Fuzzy Automata
Author(s) -
S. S. Dhure
Publication year - 2021
Publication title -
international journal of advanced research in science, communication and technology
Language(s) - English
Resource type - Journals
ISSN - 2581-9429
DOI - 10.48175/ijarsct-2137
Subject(s) - büchi automaton , deterministic automaton , mathematics , timed automaton , two way deterministic finite automaton , continuous automaton , fuzzy logic , fuzzy subalgebra , discrete mathematics , fuzzy number , automaton , algebra over a field , computer science , theoretical computer science , algorithm , fuzzy set , mobile automaton , nondeterministic finite automaton , pure mathematics , automata theory , artificial intelligence , finite state machine
In this paper we have defined input-connected fuzzy automaton and established that in an input connected fuzzy automaton, element of an orbit maps to an element of the orbit under the weak fuzzy automaton endomorphism. Further, if an input x is unicore in the fuzzy automaton, then the number of weak fuzzy automaton endomorphisms of A(x) is equal to the number of states.