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Title: | Finite Fuzzy Markov Chains |
Authors: | Mara’Beh, Mohammad Ali Ayesh |
Issue Date: | Aug-2011 |
Publisher: | Arab American University |
Citation: | Mara’Beh, Mohammad Ali Ayesh (2011). Finite Fuzzy Markov Chains. Arab American University |
Abstract: | In this thesis we deal with finite fuzzy Markov chains in two ways. First, we replace the uncertainty in any transition probability of a crisp transition matrix by a fuzzy number. In this case, we were able under certain conditions to prove the uniqueness of the limit of 2 × 2 matrix powers. Secondly, the transition matrix represents a fuzzy relation on a finite state space. Here, we were able to place some conditions on 𝑛 × 𝑛 fuzzy transition matrices to have the ergodic behavior. |
URI: | https://scholar.ptuk.edu.ps/handle/123456789/138 |
Appears in Collections: | master |
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