We define a lower approximate operation and an upper approximate operation based on a partition on MV-algebras and discuss their properties. We then introduce a belief measure and a plausibility measure on MV-algebras and investigate the relationship between rough operations and uncertainty measures.
Maosen Xie. "Rough Operations and Uncertainty Measures on MV-Algebras." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/597650