Please use this identifier to cite or link to this item: https://scholar.ptuk.edu.ps/handle/123456789/474
Title: Finite Fuzzy Markov Chains
Authors: MARA'BEH, MOHAMMAD A. A.
Keywords: Fuzzy Set
Fuzzy Relation
Triangular Fuzzy Number
Trapezoidal Fuzzy Number
Finite Markov Chains
Fuzzy Markov Chains
Ergodic Fuzzy Markov Chains
Restricted Fuzzy Matrix Multiplication
Issue Date: 2011
Publisher: Arab American University (AAUP)
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/123456789/474
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