M-模糊化P-内部算子和M-模糊化P-开集族  

M-fuzzifying P-interior operators and M-fuzzifying families of P-open sets

作　　者：王岚[1] 魏赟鹏[2] 

机构地区：[1]牡丹江师范学院理学院,黑龙江牡丹江157011 [2]牡丹江医学院卫生管理学院,黑龙江牡丹江157011

出　　处：《辽宁工程技术大学学报（自然科学版）》2013年第11期1560-1563,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：黑龙江省自然科学基金资助项目(A201209);黑龙江省教育厅青年学术骨干基金资助项目(1251G063);牡丹江师范学院国家重点创新预研基金资助项目(GY201204);牡丹江师范学院青年学术骨干基金资助项目(G200904)

摘　　要：针对完善M-模糊化拟阵公理体系这一问题.借助于M-模糊集理论、层拟阵结构这些工具,借鉴模糊拓扑学理论研究方法,将分明拟阵中的内部算子和开集引入到M-模糊化拟阵理论中,定义了M-模糊化P-内部算子和M-模糊化P-开集族,并研究了性质.得到M-模糊化拟阵与M-模糊化P-内部算子和M-模糊化P-开集族可以相互诱导一一对应这一结论.In order to further study the M- fuzzifying matroids, the notions of M-fuzzifying P-interior operators and M-fuzzifying families of P-open sets were introduced, and their properties were researched by cut matroids.The study results show that there exists a one-to-one corresponding between an M-fuzzifying matroid and its M-fuzzifying P-interior operators or M-fuzzifying families of P-open sets.

关 键 词：拟阵 内部算子 开集 M-模糊化P-闭包算子 M-模糊化独立集族 M-模糊化拟阵 M-模糊化P-内部算子 M-模糊化P-开集族 

分 类 号：O159[理学—数学]