Open AccessThe Behavior of Some Finite Automata in a Non-stationary Fuzzy Environment
Author(s) -
Tariel Khvedelidze
Publication year - 2021
Publication title -
wseas transactions on information science and applications
Language(s) - English
Resource type - Journals
eISSN - 2224-3402
pISSN - 1790-0832
DOI - 10.37394/23209.2021.18.21
Subject(s) - fuzzy logic , mathematics , defuzzification , property (philosophy) , markov chain , automaton , computer science , discrete mathematics , fuzzy number , theoretical computer science , fuzzy set , artificial intelligence , philosophy , statistics , epistemology
The behavior of two types of finite automata in a non-stationary fuzzy environment is considered, which, depending on the states of the automata, encourages or punishes them with some fixed membership functions. It is assumed that the behavior of automata in a fuzzy environment is described by generalized ergodic Markov chains and, using the property of such chains, it is shown that the considered automata, under certain conditions on fuzzy punishment functions, are learners and predominantly perform the action for which the sum of fuzzy functions of belonging to punishment is minimal.