Affiliations: Dept. Computer Science, Palacký University Olomouc, 17. listopadu 12, CZ-77146 Olomouc, Czech Republic. [email protected], [email protected]
Correspondence:
[†]
Address for correspondence: Dept. Computer Science, Palacký University Olomouc, 17. listopadu 12, CZ-77146 Olomouc, Czech Republic
Note: [*] Jan Konecny acknowledges support from grant no. CZ.1.07/2.3.00/20.0059 cofinanced by the European Social Fund and the state budget of the Czech Republic.
Abstract: We provide a new approach to fusion of Fuzzy Formal Concept Analysis and Rough Set Theory. As a starting point we take into account a couple of fuzzy relations, one of them represents the lower approximation, while the other one the upper approximation of a given data table. By defining appropriate concept-forming operators we transfer the roughness of the input data table to the roughness of corresponding formal fuzzy concepts in the sense that a formal fuzzy concept is considered as a collection of objects accompanied with two fuzzy sets of attributes—those which are shared by all the objects and those which at least one object has. In the paper we study the properties of such formal concepts and show their relationship with concepts formed by well-known isotone and antitone operators.
