An Experimental Study on Fuzzy Markov Chains Under Mn Generalized Mean Relation

Autoři: Mgr. Roman Neruda, Ph.D.
Rok vydání: 2023
Typ publikace: Konferenční příspěvek (mezinárodní konf.)
Periodikum: Applications of Fuzzy Techniques: Proceedings of the 2022 Annual Conference of the North American Fuzzy Information Processing Society NAFIPS 2022
Bibliografická citace: FIGUEROA-GARCIA, J.C., NERUDA, Roman, CHALCO-CANO, Y. An Experimental Study on Fuzzy Markov Chains Under Mn Generalized Mean Relation. In: DICK, S., KREINOVICH, V., LINGRAS, P., eds. Applications of Fuzzy Techniques: Proceedings of the 2022 Annual Conference of the North American Fuzzy Information Processing Society NAFIPS 2022. Cham: Springer, 2023, S. 63-72. Lecture Notes in Networks and Systems. ISBN 978-3-031-16037-0. ISSN 2367-3370
Dostupné z: doi:10.1007/978-3-031-16038-7_7.
DOI: 10.1007/978-3-031-16038-7_7
ID: 562528
Online záznam: Zobrazit online záznam

Abstrakt

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.