TY - GEN
T1 - An Experimental Study on Fuzzy Markov Chains Under Mn Generalized Mean Relation
AU - Figueroa-García, Juan Carlos
AU - Neruda, Roman
AU - Chalco-Cano, Yurilev
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2023
Y1 - 2023
N2 - This chapter presents an experimental study about the use of the Mn generalized mean for the computation of the steady state of a fuzzy Markov chain and its close relationship to the probabilistic sum–product relation. The obtained evidence shows that the Mn generalized mean leads to obtain a very similar results than its probabilistic counterpart i.e. to have aperiodic limiting distributions and convergence in finite–time unlike the fuzzy max - min relation which mostly leads to non–unique solutions i.e. periodic limiting distributions.
AB - This chapter presents an experimental study about the use of the Mn generalized mean for the computation of the steady state of a fuzzy Markov chain and its close relationship to the probabilistic sum–product relation. The obtained evidence shows that the Mn generalized mean leads to obtain a very similar results than its probabilistic counterpart i.e. to have aperiodic limiting distributions and convergence in finite–time unlike the fuzzy max - min relation which mostly leads to non–unique solutions i.e. periodic limiting distributions.
UR - https://www.scopus.com/pages/publications/85140441654
U2 - 10.1007/978-3-031-16038-7_7
DO - 10.1007/978-3-031-16038-7_7
M3 - Conference contribution
AN - SCOPUS:85140441654
SN - 9783031160370
T3 - Lecture Notes in Networks and Systems
SP - 63
EP - 72
BT - Applications of Fuzzy Techniques - Proceedings of the 2022 Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2022
A2 - Dick, Scott
A2 - Kreinovich, Vladik
A2 - Lingras, Pawan
PB - Springer Nature
T2 - Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 2022
Y2 - 31 May 2022 through 3 June 2022
ER -