This paper deals with graph automaton groups associated trees and some generalizations. We start by showing algebraic properties of tree groups. Then we characterize the semigroup, proving that it is isomorphic to partially commutative monoid complement line defining tree. After that, generalize these introducing quite broad class reducible groups, which lies in contracting without singular poi...

In this note, we define bisimulation for BL-general fuzzy automata and show that if there is a bisimulation between two BL-general fuzzy automata, then they have the same behavior.For a given BL-general fuzzy automata, we obtain the greatest bisimulation for the BL-general fuzzy automata. Thereafter, if we use the greatest bisimulation, then we obtain a quotient BL-general fuzzy automata and th...

The set of synchronizing words a given n-state automaton forms regular language recognizable by an with \(2^n - n\) states. size recognizing for the is linked to computational problems related synchronization and length words. Hence, it natural investigate automata extremal this property, i.e., such that minimal deterministic has sync-maximal permutation groups have been introduced in [S. Hoffm...

The main objective of our paper is to focus on the study sequences (finite or countable) groups and hypergroups linear differential operators decreasing orders. By using a suitable ordering preordering we construct hypercompositional structures operators. Moreover, actions rings polynomials one real variable including diagrams actions–considered as special automata. Finally, obtain examples, ch...

Dixon’s famous theorem states that the group generated by two random permutations of a finite set is generically either the whole symmetric group or the alternating group. In the context of random generation of finite groups this means that it is hopeless to wish for a uniform distribution – or even a non-trivial one – by drawing random permutations and looking at the generated group. Mealy aut...

Some results from [2], [5], [6] are generalized for nite automata over arbitrary groups. The accepting power is smaller when abelian groups are considered, in comparison with the non-abelian groups. We prove that this is due to the commutativity. Each language accepted by a nite automaton over an abelian group is actually a unordered vector language. Finally, deterministic nite automata over gr...

introduction flood is an inevitable natural phenomenon occurring from time to time in all rivers and natural drainage systems, which not only damages the lives, natural resources and environment, but also causes the loss of economy and health. so estimation and prediction flood hazard is very important spatially in the watersheds without measurement station. there are many models in the water a...

This paper introduces the notion of multidimensional fuzzy finite tree automata (MFFTA) and investigates its closure properties from the area of automata and language theory. MFFTA are a superclass of fuzzy tree automata whose behavior is generalized to adapt to multidimensional fuzzy sets. An MFFTA recognizes a multidimensional fuzzy tree language which is a regular tree language so that for e...

in this paper, our focus of attention is the proper propagationof fuzzy degrees in determinization of $nondeterministic$ $fuzzy$$finite$ $tree$ $automata$ (nffta). initially, two determinizationmethods are introduced which have some limitations (one inbehavior preserving and other in type of fuzzy operations). inorder to eliminate these limitations and increasing theefficiency of ffta, we defin...