Yanhong Zhou

School of Sciences, Civil Aviation Flight Academy University of China

Abstract：

In neighborhood rough set theory, from three-way probabilistic perspectives, we mainly propose three-way neighborhood probabilistic complement-entropies by combining different probability products and complementary information from the Micro-Bottom and Macro-Top, three-way neighborhood probabilistic complement-entropies include neighbourhood prior, likelihood and posterior complement-entropies, the measures have basic probabilistic semantics and information interpretation. Firstly, Bayes’ probability formula at the Micro-Bottom is utilized to conduct a mathematical transformation and hierarchical evolution; Secondly, the three-way neighborhood probabilistic complement-entropies are established from the Micro-Bottom to Macro-Top, they have the hierarchy, systematicness and non-monotonicity/monotonicity.

Key Words：

Neighborhood rough set theory; three-way probabilities; complement entropy ; three-layer granular structures