Reichenbach and f-generated implications in fuzzy database relations
— Applying a definition of attribute conformance based on a similarity relation, we introduce an interpretation as a function associated to some fuzzy relation instance and defined on the universal set of attributes. As a consequence, the attributes become fuzzy formulas. Conjunctions, disjunctions and implications between the attributes become fuzzy formulas as well in view of the requirement that the interpretation has to agree with the minimum t-norm, the maximum t-conorm and appropriately chosen fuzzy implication. The purpose of this paper is to derive a number of results related to these fuzzy formulas if the fuzzy implication is selected so to be either Reichenbach or some f-generated fuzzy implication.