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Title: Further Particular Classes of Ergodic Finite Fuzzy Markov Chains
Authors: MALLAK, SAED F.
Keywords: Fuzzy Set
Fuzzy Relation
Max-Min Composition
Fuzzy transition matrix
Ergodic Fuzzy Markov Chain
Issue Date: 2011
Publisher: Advances in Fuzzy Mathematics.
Abstract: In this paper, depending on max-min composition, and continuing the work in [10], we study the Ergodicity of a particular class of finite fuzzy Markov chains where the last row of the fuzzy transition matrices consists of arbitrary values (between zero and 1) while the other rows’ entries are one in one place and zero elsewhere. Under certain conditions, we show that a fuzzy Markov chain in this class is Ergodic. We do the same when the last row is replaced by any row.
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