Operators on lattice-valued automata
Abstract
The concepts of source core and successor core for residuated lattice valued finite state machine are introduced and their properties are studied. We found the relation between the genetic subset of lattice valued finite state machine and the source core. Using the implication of complete residuated lattice we introduced the fuzzy operators namely fuzzy initial core and fuzzy final core which are generalizations of source core and successor core respectively. Also we have done comparative study of these operators with the source and successor operators.
Copyright © 2016 A.P. Patil, S.R. Chaudhari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
A. P. Patil, S. R. Chaudhari, Operators on lattice-valued automata, J. Math. Comput. Sci. 6 (2016), 975–988.
BibTeX
@article{Patil2016,
author = {Patil, A.P. and Chaudhari, S.R.},
title = {Operators on lattice-valued automata},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {975--988},
doi = {}
}