Properties of models of fuzzy attribute implications
نویسندگان
چکیده
This paper deals with closure properties of models of fuzzy attribute implications. Fuzzy attribute implications are particular IF-THEN rules which can be interpreted in data tables with fuzzy attributes and/or ranked data tables over domains with similarity relations. We show that models of any set of fuzzy attribute implications form a fuzzy closure system with hedge. Conversely, we show that each fuzzy closure system with hedge can be seen as a system of models of some set of fuzzy attribute implications. Furthermore, we show applications of the closure properties: we describe semantic entailment from fuzzy attribute implications using least models and show a method for generating of non-redundant sets of dependencies which are true in a given data table with fuzzy attributes. Keywords— completeness in data, fuzzy attribute implication, fuzzy closure operator, hedge, model, non-redundant basis
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