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|Title:||Finite Fuzzy Markov Chains|
|Authors:||Mara’Beh, Mohammad Ali Ayesh|
|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.|
|Appears in Collections:||master|
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