Rule Acquisition in Formal Decision Contexts Based on Formal, Object-Oriented and Property-Oriented Concept Lattices

Abstract EN

Rule acquisition is one of the main purposes in the analysis of formaldecision contexts.

Up to now, there have been several types of rules informal decision contexts such as decision rules, decision implications, andgranular rules, which can be viewed as ∧-rules since all of them have the following form: “if conditions 1,2,…, and m hold, then decisions hold.” In order toenrich the existing rule acquisition theory in formal decision contexts, thisstudy puts forward two new types of rules which are called ∨-rules and ∨-∧ mixed rules based on formal, object-oriented, and property-oriented concept lattices.

Moreover, a comparison of ∨-rules, ∨-∧ mixed rules, and ∧-rules ismade from the perspectives of inclusion and inference relationships.

Finally,some real examples and numerical experiments are conducted to comparethe proposed rule acquisition algorithms with the existing one in terms ofthe running efficiency.