Litcius/Paper detail

Graded cubes of opposition in fuzzy formal concept analysis

Stefania Boffa, Petra Murinová, Vilém Novák, Petr Ferbas

2022International Journal of Approximate Reasoning10 citationsDOIOpen Access PDF

Abstract

We recently introduced special fuzzy quantifiers named quantifier-based operators to form extended fuzzy concept lattices and to construct graded squares, hexagons, octagons and decagons of oppositions. This article aims to extend our previous works by organizing quantifier-based operators in more general structures of oppositions: the so-called graded cubes of opposition and 5-graded cubes of opposition.

Topics & Concepts

Opposition (politics)MathematicsFuzzy logicAlgebra over a fieldPure mathematicsDiscrete mathematicsComputer scienceArtificial intelligencePolitical scienceLawPoliticsRough Sets and Fuzzy LogicAdvanced Algebra and LogicMulti-Criteria Decision Making