Aiming at the information classification and attribute reduction between multiple universes in the real world
a U×W double-disciplinary variable precision rough set model is proposed. By studying the equivalence relation in the U×W double domain
Based on the equivalence class of two-dimensional equivalence relation
the structure and mathematical characteristics of the model are deeply studied
and some useful conclusions are obtained. Finally
the uncertainty is measured by rough entropy and information entropy. The model and measurement results are verified by examples.
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references
PAWLAK Z. Rough set[J]. International Journal of computer and Information Sciences.1982(11):341-356. DOI: 341
LIANG J Y, SHI Z Z.The information entropy, rough entropy and knowledge granulation in rough set theory[J].International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004, 12(1):37-46. DOI: 37
Boston PAWLAK Z. Rough sets:theoretical aspects of reasoning about data[M]. Boston: Kluwer Academic Publisher, 1991.