“…; ng is a mapping which associates any element in B with some particular adjoint triple in the frame. 2 Once we have fixed a multi-adjoint frame and a context for that frame, we can define the following mappings " r : L B 2 ! L A 1 and # r : L A 1 !…”
Section: Multi-adjoint Concept Latticesmentioning
confidence: 99%
“…Items (1),(2) and(3)are equivalent to the fact that V 1 and V 2 represent the concept lattices L, L op , respectively, considering the relation R : A Â B ! P defined as Rða; bÞ ¼ Iðb; aÞ and Theorem 21.…”
“…; ng is a mapping which associates any element in B with some particular adjoint triple in the frame. 2 Once we have fixed a multi-adjoint frame and a context for that frame, we can define the following mappings " r : L B 2 ! L A 1 and # r : L A 1 !…”
Section: Multi-adjoint Concept Latticesmentioning
confidence: 99%
“…Items (1),(2) and(3)are equivalent to the fact that V 1 and V 2 represent the concept lattices L, L op , respectively, considering the relation R : A Â B ! P defined as Rða; bÞ ¼ Iðb; aÞ and Theorem 21.…”
“…There exist in the literature extensions of the formal concept theory to L-fuzzy subsets, ( [9], [10], [12], [4], [5], [6], [20], [21], [2], [15], [22]). In these extensions, the incidence relation R of…”
Given a Brouwerian complete lattice (L, ≤) and two referential sets K and E, and using a fuzzy relation R ∈ L E×E which is reflexive and symmetric, certain fuzzy relations H ∈ L K×E are characterized as solutions of X R = X. These solutions H can be determinated by means of the L-fuzzy concepts associated with the K-labeled L-fuzzy context
“…Formal concept analysis (FCA) has been extended with ideas from fuzzy set theory [1,2,3], fuzzy logic reasoning [4,5,6], rough set theory [7,8,9], some integrated approaches such as fuzzy and rough [10], or rough and domain theory [11].…”
In Formal Concept Analysis it is very important to study fast algorithms to compute concept lattices. This paper introduces an algorithm on the multiadjoint concept lattice framework, in order to compute the whole concept lattice. This fuzzy framework is very general and provides more flexibility in relational systems. This has been theoretically studied and, now, we need an algorithm to compute the concept lattice for each frame and context.
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