Fuzzy matri̇x and fuzzy Markov chains

The rules of classical logic is insufficient in making healty decisions in an unclear environment. Fuzzy logic is a system that provides making more healty decisions when facing such a situation. In this work, fuzzy matrices based on fuzzy set logic and fuzzy Markov chains was examined and methods used in making effective decision which in processes that there is an uncertainty with finite and infinite horizon investigated. Furthermore, algebraical properties of fuzzy matrices and fuzzy Markov matrices have been investigated. Also, convergence of these matrices has been studied under some certain circumstances and compared with each other. Keywords: Fuzzy, fuzzy matrix, Markov chains, fuzzy Markov chains, convergence.