The Concept Of Rough Set Based On Pansystems Series-Parallel Model And Topological Space

As we all know, today is the era of the big data, and it is of significant to extract the useful knowledge quickly and efficiently. Rough set is a widely-used method,which can deal with the uncertain knowledge and extract the useful knowledge through the decision-making. But there are many different relationships in a wide range of knowledge, which are usually named as the general binary relations. This is a challenge for the rough sets, because rough set is studied under the premise of equivalence relations, but pansystems operators can solve this problem. Taking this idea as a clue, the paper propose the model from the viewpoint of the pansystems rough sets theory, series-parallel model and the operators, which explore the preliminary study for solving this problem in the theory and expand the applications of the pansystems rough set to make the problem have a new idea in the incomplete systems.Firstly, the paper expands the pansystems rough set by using the pansystems series-parallel model and proposes the pansystems series-parallel rough set model, which includes pansystems disjunction parallel rough set and pansystems conjunction parallel rough set. At the same time, the paper combines pansystems series-parallel model with pansyetems equivalence operators and pansyetems tolerance operators and proposes the new pansystems series-parallel operators. By studying the properties of pansystems series-parallel rough sets and pansystems series-parallel operators,the paper finds their links.Secondly, from the point of view of topological spaces the paper discusses pansystems series-parallel rough sets and finds the topological structure and properties of pansystems series-parallel rough sets.Finally, the paper analysis the proposed pansystems series-parallel rough sets by using the examples, which verifies from the three operators.Then,comparing the original several models with the proposed model, the paper finds the advantanges advantages and disadvantages.Then, the paper concludes the full text and describes the direction of future research.