Relating generalized concept lattices and concept lattices for non-commutative conjunctors

Multi-adjoint t-concept lattices

“…(2) and (1) Now, we will show that Georgescu and Popescu's framework can be reproduced by means of the multi-adjoint framework. In [26] it has been proved that the concept lattices defined in [15] can be constructed in terms of generalized concept lattices [19]. On the other hand, in [27] it was proved that generalized concept lattices can be embedded into the multi-adjoint framework.…”

Нечёткий Анализ Формальных Понятий: Обзор Подходов На Примере

“…Обобщѐнные решѐтки понятий [12,13] включают в себя некоторые другие подходы (подход №1, №3, №8). Мультисопряжѐнные решѐтки используют так называемые бирезидуальные структуры [14,15] и включают в себя подход №1, а также обобщѐнные решѐтки понятий.…”

A new algebraic structure for formal concept analysis

“…In [28], Medina et al proved that any concept lattice for non-commutative fuzzy logic can be interpreted under the framework of generalized concept lattices and be isomorphic to a sublattice of the cartesian product of two generalized concept lattices. In [22], based on rough set theory, Lai and Zhang showed that every complete fuzzy lattice can be represented as the concept lattice of a fuzzy context under some conditions.…”