Please use this identifier to cite or link to this item:
Title: Finite Fuzzy Markov Chains
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.
Appears in Collections:master

Files in This Item:
File Description SizeFormat 
Master Thesis.pdf1.47 MBAdobe PDFThumbnail

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.