Some results and algorithm for one-sided concept lattices with separable modifiers

In this paper we provide a modification of one-sided concept lattices based on the usage of fuzzy separable modifiers. The proposed method is motivated by so-called fuzzy concept lattices with hedges and represents their slight modification. In fuzzy set theory, modifiers are often defined within the framework of linguistic variables, representing adverbs, while one-sided concept lattices provides the specific fuzzy version of data analytical method based on the approach known as Formal Concept Analysis. We define concept forming operators based on separable modifiers and we show that these operators form a Galois connection between power set of objects and fuzzy subsets of attributes. An algorithm for a creation of one-sided concept lattices with separable modifiers is also presented.