DOOB'S DECOMPOSITION OF FUZZY SUBMARTINGALES VIA ORDERED NEAR VECTOR SPACES
We use ideas from measure-freemartin gale theory and a near vector space to derive a Doob decomposition of submartingalesin ordered near vector spaces, which is a generalization of result noted by Daures, Ni and Zhang, and an analogue of the Doob decomposition of submartingales in the fuzzy setting, as noted by Shen and Wang.
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