Invariant characterizations of information structures in a lattice-valued information system under homomorphisms based on data compression
Neiping Chen, Bin Qin · Journal of Intelligent & Fuzzy Systems · 2017
A lattice-valued information system is an important model in the field of artificial intelligence and the notion of homomorphisms between lattice-valued information systems is a kind of tools to study data compression in a lattice-valued information system. This paper investigates invariant characterizations of information structures in a lattice-valued information system under homomorphisms based on data compression. Information structures in a lattice-valued information system is first proposed by using set vectors. Then, dependence and independence between information structures in the same lattice-valued information system is characterized by the inclusion degree. Finally, a complex massive lattice-valued information system can be compressed into a relatively small-scale lattice-valued information system by means of homomorphisms and it is proved that some characterizations of information structures in a lattice-valued information system under homomorphisms based on data compression are invariant, that is, some of the same data structures are obtained.