The Digital Repository of Palestine Technical University
Our institutional repositories are digital collections of the outputs created within PTUK university. Whilst the purposes of repositories are established to provide Open Access to the PTUK research output.
Please use this identifier to cite or link to this item:
https://scholar.ptuk.edu.ps/handle/123456789/474 cc-by
| 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 |
| Appears in Collections: | master |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Master Thesis.pdf | 1.47 MB | Adobe PDF |  View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.