Abstract
In this paper, we turn intuitionistic fuzzy information systems into 0-1 formal contexts by using dominance relation. A pair of operators is defined to get the formal concept lattices in the intuitionistic fuzzy information systems. Furthermore, some properties and attribute reduction based on discernibility matrices is investigated.
Highlights
Concept lattice stems from the so-called formal concept analysis proposed by Wille in 1982 [1], which can be depicted by a Hasse diagram, where each node expresses a formal concept
This paper introduced the intuitionistic fuzzy set into the concept lattice theory firstly
We offered the related definitions and propositions of attribute reduction in concept lattices which were examined by some examples
Summary
Concept lattice stems from the so-called formal concept analysis proposed by Wille in 1982 [1], which can be depicted by a Hasse diagram, where each node expresses a formal concept. The study on attribute reduction for intuitionistic fuzzy formal context has not been investigated perfectly, the discernibility matrix was proposed by using of the cuts of IF sets and established the method of the attribute reduction of IF concept lattice in paper [24]. Because it leaves out some useful information about transforming the concept lattice based on the IF the formal context to a classical one only by using the cuts of the IF sets.
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