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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.<\/jats:p>","DOI":"10.3233\/jifs-17838","type":"journal-article","created":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T12:40:56Z","timestamp":1512132056000},"page":"3987-3998","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Invariant characterizations of information structures in a lattice-valued information system under homomorphisms based on data compression"],"prefix":"10.1177","volume":"33","author":[{"given":"Neiping","family":"Chen","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Hunan University of Commerce, Changsha, P.R. 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