模糊粗糙集分解定理的讨论(Ⅰ)  

Redisscuss the Decomposition Theorems of Fuzzy Rough Sets(Ⅰ)

作　　者：马茜[1] 兰景涛[2] 霍录景[3] 

机构地区：[1]军事交通学院基础部,天津300161 [2]山东万杰医学院数学教研室,淄博255213 [3]北京师范大学珠海分校应用数学学院,珠海519085

出　　处：《科学技术与工程》2010年第3期738-740,共3页Science Technology and Engineering

摘　　要：分解定理是模糊数学的最基本定理之一,给出了模糊粗糙集的四个分解定理,并指出因偏序关系普通模糊集的部分分解定理并不能推广到模糊粗糙集。分解定理建立了模糊粗糙集与经典集间的联系,通过它可以把模糊粗糙集的某些性质的研究转化为相关的经典集的有关性质的研究,从而可以利用人们千百年来的研究成果和实践经验。Decomposition theorem is one of the most fundamental theorem of the fuzzy mathematics. The four decomposition theorems of fuzzy rough sets are presented and some decomposition theorems of the fuzzy sets of Zadeh are not generalized to the fuzzy rough sets by reason of the partial order. Decomposition theorem established links between fuzzy rough sets and classic sets, the discussion of some properties of fuzzy rough sets is transformed into related studies of classic set by it, so advantage of the research and practical experience by people for thousands of years can be take out.

关 键 词：模糊粗糙集 截集 分解定理 

分 类 号：O159[理学—数学]