Faculty of Information Technology, BUT

Publication Details

Formal Concept Analysis with Graded Affirmations and Denials

KONEČNÝ Jan. Formal Concept Analysis with Graded Affirmations and Denials. Brno, 2019.
Czech title
Formální konceptuální analýza s potvrzením a popřením ve stupních
Type
habilitation
Language
english
Authors
Konečný Jan, RNDr., Ph.D. (UPOL)
Keywords
formal concept analysis, fuzzy set, residuated lattice,
fuzzy Galois connections, concept lattice, affirmation, denial
Abstract
Formal Concept Analysis (FCA) is a method of analysis of relational data which has proved to be useful in many areas of computer science. In its basic setting FCA is one-valued: it works only with affirmations that objects have attributes. If
a user needs to express a denial of incidence, i.e. that an object does not have an attribute, he can easily achieve it using a logical negation. This is no longer the case for graded settings, where the affirmations and denials of incidences between objects
and attributes are a matter of degrees. Management of graded affirmations is well elaborated in the literature because it represents a direct generalization of a onevalued character of FCA. In contrast, graded denials have received little attention.
This habilitation thesis provides a thoroughly elaborated framework for handling data with graded denials and data with both graded denials and graded affirmations in FCA. A special attention is given to structures behind FCA in a graded setting.
Published
2019
Pages
189
Place
Brno, CZ
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