Products of cyclic fuzzy finite state machines

DOI

10.2991/icaemt-15.2015.79How to use a DOI?

Keywords

fuzzy finite state machines; cyclic; product; strong cyclic

Abstract

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.

Copyright

© 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/).

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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  -