多分S-近似空间

Polytomous S-approximation spaces

基于知识空间理论的多分推广,提出了多分S-近似空间的概念,研究多分S-近似空间模型上、下近似在不同运算和不同决策映射下的性质.进一步,定义上、下近似多分知识状态,利用上、下近似算子的性质研究上、下近似多分知识状态集族形成多分知识结构的条件,特别地,探讨多分知识结构分别满足交封闭和并封闭的条件.多分S-近似空间为多分知识结构的构建及其应用提供了一种新的研究思路和方法,所得成果将丰富和发展S-近似空间理论和知识空间理论.

Based on the polytomous generalization of knowledge space theory,the concept of polytomous S-approximation spaces is proposed.After that,the properties of upper and lower approximations under different operations and decision mappings are investigated.Moreover,the concept of upper and lower approximation polytomous knowledge states is introduced,and the conditions under which the family of upper and lower approximation polytomous knowledge state sets can form polytomous knowledge structures are explored.In particular,the conditions of the polytomous knowledge structure to satisfy intersection and union closure are discussed.Polytomous S-approximation spaces provide a new research approach and method for the construction and application of polytomous knowledge structures,and the results obtained will enrich and develop the S-approximation spaces theory and knowledge space theory.