Products of cyclic fuzzy finite state machines
Feidan Huang, Zexi Deng
Available Online August 2015.
- 10.2991/icaemt-15.2015.79How to use a DOI?
- fuzzy finite state machines; cyclic; product; strong cyclic
A cyclic fuzzy finite state machine is a fuzzy finite state machine which is generated by a state. In this paper, we study products of cyclic fuzzy finite state machine. We prove that two cyclic finite state machines are cyclic when the full direct product(or restricted direct product, or cascade product, or wreath product) of them is cyclic. However, products of two cyclic fuzzy finite state machines are not necessarily cyclic. We introduce the concept of strong cyclic fuzzy finite state machine, and prove that products(including full direct product, restricted direct product, cascade product and wreath product ) of two strong cyclic fuzzy finite state machines are strong cyclic.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Feidan Huang AU - Zexi Deng PY - 2015/08 DA - 2015/08 TI - Products of cyclic fuzzy finite state machines BT - Proceedings of the 2015 International Conference on Advanced Engineering Materials and Technology PB - Atlantis Press SP - 397 EP - 402 SN - 2352-5401 UR - https://doi.org/10.2991/icaemt-15.2015.79 DO - 10.2991/icaemt-15.2015.79 ID - Huang2015/08 ER -