On the Max-Product Fuzzy Markov Chains: Fundamentals and Applications

Analogous to the traditional Markov chains, the ergodic property plays an interesting role in understanding the long-run behavior of fuzzy Markov chains. In their study of max-min fuzzy Markov chains, Avrachenkov and Sanchez raised an open question for finding conditions to ensure the ergodicity of max-min fuzzy Markov chains. In our previous paper, we provided sufficient conditions for the ergodicity of max-min and max-product fuzzy Markov chains, respectively. Since the max-min and max-product are two instances of the max-$t$ norm compositions, in this paper, we extend our study so as to provide sufficient conditions for the ergodicity of max-$t$ norm fuzzy Markov chains.

Project ID:PB10301-0504
External Project ID:NSC102-2221-E182-040-MY3