On minimal sets of graded attribute implications

Vilem Vychodil

doi:10.1016/j.ins.2014.09.059

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arXiv · 1405.7076

On minimal sets of graded attribute implications

Vilem Vychodil

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Abstract

We explore the structure of non-redundant and minimal sets consisting of graded if-then rules. The rules serve as graded attribute implications in object-attribute incidence data and as similarity-based functional dependencies in a similarity-based generalization of the relational model of data. Based on our observations, we derive a polynomial-time algorithm which transforms a given finite set of rules into an equivalent one which has the least size in terms of the number of rules.

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Vilem Vychodil. 2014-05-27. On minimal sets of graded attribute implications. https://doi.org/10.1016/j.ins.2014.09.059

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