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A tree series over a semiring with partially ordered carrier set can be considered as a fuzzy set. We investigate conditions under which it can also be understood as a fuzzied recognizable tree language. In this sense, sucient conditions are presented which, when imposed, ensure that every cut set, i.e., the pre-image of a prime lter of the carrier set, is… (More)

This contribution discusses a formalization of the " negation of a concept ". The notion of " concept " has been successfully formalized in the early eighties and led to the theory of Formal Concept Analysis. Boole (1815-1864) developed a mathematical theory for human thought based on signs and classes. The formalization of the negation of concepts is… (More)

The paper investigates fuzzy relations on a finite domain in the cutworthy framework, dealing with a new property coming from the information theory. If the domain of a relation is considered to be a table, then a rectangular subset of the domain whose values under this relation are greater than the values of all neighboring fields is called an island.… (More)