On multi-adjoint concept lattices based on heterogeneous conjunctors

In formal concept analysis, the sets of attributes and objects are usually different, with different meaning and, hence, it might not make sense to evaluate them on the same carrier. In this context, the operators used to obtain the concept lattice could be defined by considering different lattices associated to attributes and objects. Anyway there exist several reasons for which we need to evaluate the set of attributes and objects in the same carrier. In this direction, we present in this paper a new concept lattice, where the objects and attributes are evaluated on the same lattice L, although operators which evaluate objects and attributes in different carriers are used. Moreover, we have studied the relationship between the new concept lattice and the other one obtained directly considered different carriers to both set of attributes and objects.