Abstract

Cubic transition matrices is an important tool in the theory of Markov process. Fuzzy matrices over fuzzy algebra plays a significant role in matrix theory with fuzzy settings. Cubic sets are the recent developed structures that combines fuzzy sets and interval valued fuzzy sets. Motivated by the theory of cubic sets and fuzzy matrices, our aim in this paper is to introduce the notion of cubic transition matrices and to provide some results on it. We conclude this paper by constructing orthogonal cubic transition matrices using inner products.

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