| Gaia: | In this paper, we use the notion of crisp stochastic process and refined neutrosophic theory to define the concept of refined neutrosophic stochastic process. This project came to us due to the necessity to study randomness on neutrosophic theory taking the idea that in real world indeterminacy is around it. Besides, we choose refined neutrosophic theory since there are several indeterminacy situations in one problem. Throughout the paper, we present some important results and define the concept of $ n $-dimensional AH-isometry for defining some results on refined neutrosophic process.
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