Correctness criteria of some algorithms for uncertain reasoning using incidence calculus
Journal of Automated Reasoning
Interval structure: a framework for representing uncertain information
UAI '92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence
Bayesian probability on Boolean algebras and applications to decision theory
Information Sciences: an International Journal
Interpretations of belief functions in the theory of rough sets
Information Sciences: an International Journal - From rough sets to soft computing
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
An Equivalent Definition of Rough Sets
RSCTC '08 Proceedings of the 6th International Conference on Rough Sets and Current Trends in Computing
Invertible approximation operators of generalized rough sets and fuzzy rough sets
Information Sciences: an International Journal
Rough implication operator based on strong topological rough algebras
Information Sciences: an International Journal
On axiomatic characterization of approximation operators based on atomic boolean algebras
RSKT'06 Proceedings of the First international conference on Rough Sets and Knowledge Technology
Rough set theory applied to lattice theory
Information Sciences: an International Journal
Information Sciences: an International Journal
Axiomatic systems for rough set-valued homomorphisms of associative rings
International Journal of Approximate Reasoning
Approximations in Rough Sets vs Granular Computing for Coverings
International Journal of Cognitive Informatics and Natural Intelligence
Rough sets based on complete completely distributive lattice
Information Sciences: an International Journal
Rough sets based on complete completely distributive lattice
Information Sciences: an International Journal
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In this paper, we introduce two pairs of rough operations on Boolean algebras. First we define a pair of rough approximations based on a partition of the unity of a Boolean algebra. We then propose a pair of generalized rough approximations on Boolean algebras after defining a basic assignment function between two different Boolean algebras. Finally, some discussions on the relationship between rough operations and some uncertainty measures are given to provide a better understanding of both rough operations and uncertainty measures on Boolean algebras.