Title of article :
BL-general fuzzy automata and minimal realization: Based on the associated categories
Author/Authors :
Abolpour, Kh. Department of Mathematics - Shiraz Branch, Islamic Azad University, Shiraz, Iran , Zahedi, M. M. Department of Mathematics - Graduate University of Advanced Technology, Kerman, Iran , Shamsizadeh, M. Department of Mathematics - Graduate University of Advanced Technology, Kerman, Iran
Abstract :
The present paper is an attempt to study the minimal BL-general fuzzy automata which realizes the given fuzzy
behavior. Of two methods applied for construction of such automaton presented here, one has been based on Myhill-
Nerode’s theory while the other has been based on derivatives of the given fuzzy behavior. Meanwhile, the categories
of BL-general fuzzy automata and fuzzy behavior, along with a functorial relationship between them, are introduced.
Keywords :
Component , BL-general fuzzy automata , fuzzy behavior , category , functor , realization , reachability , observability.
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
